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SYM-ILDL

SYM-ILDL is a numerical software package that computes incomplete LDLT (ILDL) factorizations of symmetric indefinite and real skew-symmetric matrices. The core of the algorithm is a Crout variant of incomplete LU (ILU), originally introduced and implemented for symmetric matrices by Li and Saad [2005]. Our code is economical in terms of storage,... (more)

Complex Additive Geometric Multilevel Solvers for Helmholtz Equations on Spacetrees

We introduce a family of implementations of low-order, additive, geometric multilevel solvers for systems of Helmholtz equations arising from... (more)

An Algorithm for the Optimization of Finite Element Integration Loops

We present an algorithm for the optimization of a class of finite-element integration loop nests. This algorithm, which exploits fundamental... (more)

On the Robustness of the 2Sum and Fast2Sum Algorithms

The 2Sum and Fast2Sum algorithms are important building blocks in numerical computing. They are used (implicitely or explicitely) in many compensated... (more)

On Orienting Edges of Unstructured Two- and Three-Dimensional Meshes

Finite element codes typically use data structures that represent unstructured meshes as collections of cells, faces, and edges, each of which require... (more)

BFO, A Trainable Derivative-free Brute Force Optimizer for Nonlinear Bound-constrained Optimization and Equilibrium Computations with Continuous and Discrete Variables

A direct-search derivative-free Matlab optimizer for bound-constrained problems is described, whose remarkable features are its ability to handle a mix of continuous and discrete variables, a... (more)

Implementing High-performance Complex Matrix Multiplication via the 3m and 4m Methods

In this article, we explore the implementation of complex matrix multiplication. We begin by briefly identifying various challenges associated with... (more)

Performance Evaluation of a Two-Dimensional Lattice Boltzmann Solver Using CUDA and PGAS UPC Based Parallelisation

The Unified Parallel C (UPC) language from the Partitioned Global Address Space (PGAS) family unifies the advantages of shared and local memory spaces... (more)

Algorithm 975

The T-matrix (TMAT) of a scatterer fully describes the way the scatterer interacts with incident fields and scatters waves, and is therefore used extensively in several science and engineering applications. The T-matrix is independent of several input parameters in a wave propagation model and hence the offline computation of the T-matrix provides... (more)

Algorithm 976

Bertini_real is a compiled command line program for numerically decomposing the real portion of a positive-dimensional complex component of an algebraic set. The software uses homotopy continuation to solve a series of systems via regeneration from a witness set to compute a cell decomposition. The implemented decomposition algorithms are similar... (more)

Algorithm 977

A new software for computing the singular value decomposition (SVD) of real or complex matrices is proposed. The method implemented in the code xGESVDQ is essentially the QR SVD algorithm available as xGESVD in LAPACK. The novelty is an extra step, the QR factorization with column (or complete row and column) pivoting, also already available in... (more)

Algorithm 978

The square root of a sum of squares is well known to be prone to overflow and underflow. Ad hoc scaling of intermediate results, as has been done in numerical software such as the BLAS and LAPACK, mostly avoids the problem, but it can still occur at extreme values in the range of representable numbers. More careful scaling, as has been implemented... (more)

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The ACM TOMS Replicated Computational Results (RCR) Initiative.

ACM TOMS has introduced a new initiative to optionally review the computationals results of a TOMS submission. This new effort is intended to assist in improving the quality of scientific publication for TOMS and for the computational science community as a whole. Manuscripts that successfully complete the RCR Review process receive the RCR designation when published. If you are interested in participating in this initiative, either as an author or reviewer, please contact the TOMS Editor-in-Chief. Details of the TOMS RCR Initiative are available here.

Forthcoming Articles
Algorithm 9xx: Sparse QR Factorization on the GPU

Sparse matrix factorization involves a mix of regular and irregular computation, which is a particular challenge when trying to obtain high-performance on the highly parallel general-purpose computing cores available on graphics processing units (GPUs). We present a sparse multifrontal QR factorization method that meets this challenge, and is up to eleven times faster than a highly optimized method on a multicore CPU. Our method factorizes many frontal matrices in parallel and keeps all the data transmitted between frontal matrices on the GPU. A novel bucket scheduler algorithm extends the communication-avoiding QR factorization for dense matrices, by exploiting more parallelism and by exploiting the staircase form present in the frontal matrices of a sparse multifrontal method.

Algorithm xxx: Simple, efficient, and relatively accurate approximation for the evaluation of the Faddeyeva function

We present simple, efficient, and relatively accurate approximations for the computation of the Faddeyeva function w(z). Over a wide and fine grid of the complex argument, z=x+iy, covering the whole real axis and yÎ [10-20, 1020], numerical results from the present approximations showed a highest relative error less than 4.0´10-5 for both real and imaginary parts of w. The routines are simple and can be easily implemented in any computational framework. They maintain the claimed accuracy and provide safer results than other competitive techniques. In addition to the calculation of the Faddeyeva function, w, partial derivatives of the real and imaginary parts of the function can be easily calculated and returned as optional outputs.

Algorithm xxx: Talbot Suite DE: Application of modified Talbot's method to solve differential problems

In order to solve a differential problem the Laplace transform method, when applicable, replaces the problem with a simpler one. The solution is obtained by solving the new problem and then by computing the inverse Laplace Transform of this function. However, in a numerical context, since the solution of the transformed problem consists of a sequence of Laplace Transform samples, most of the software for the numerical inversion of Laplace Transforms cannot be used since the transform, among the input parameters, must be passed as a function. To fill this gap, we present Talbot Suite DE, a C software collection specifically designed for these problems and based on Talbot's method for the inversion step. It contains both sequential and parallel implementations; the latter is accomplished by means of OpenMP API. Talbot Suite DE derives from a previous implementation of Talbot's method, but it results more efficient to solve multi-point inversion problems. Aimed at non-expert users, we illustrate several usage examples and we provide all their source code: some of them are entirely in C and others combine different programming languages, such as C/MATLAB or C/FORTRAN. In addition, for each example, we report performance results about accuracy and efficiency.

Geometric Reconstruction Of Implicitly Defined Surfaces and Domains with Topological Guarantees

Implicitly described domains are a well established tool in the simulation of time dependent problems, e.g. using level-set methods. In order to solve partial differential equations on such domains, a range of numerical methods was developed, e.g. the Immersed Boundary method, Unfitted Finite Element or Unfitted discontinuous Galerkin methods, eXtended or Generalised Finite Element methods, just to name a few. Many of these methods involve integration over cut-cells or their boundaries, as they are described by sub- domains of the original level-set mesh. We present a new algorithm to geometrically evaluate the integrals over domains described by a first- order, conforming level-set function. The integration is based on a polyhedral reconstruction of the implicit geometry, following the concepts of the Marching Cubes algorithm. The algorithm preserves various topo- logical properties of the implicit geometry in its polyhedral reconstruction, making it suitable for Finite Element computations. Numerical experiments show second order accuracy of the integration. An implementation of the algorithm is available as free software, which allows for an easy incorporation into other projects. The software is in productive use within the DUNE framework [Bastian et al. 2008a].

Algorithm xxx: ADiGator, a Toolbox for the Algorithmic Differentiation of Mathematical Functions in MATLAB Using Source Transformation via Operator Overloading

A toolbox called ADiGator is described for algorithmically differentiating mathematical functions in MATLAB. ADiGator performs source transformation via operator overloading using forward mode algorithmic differentiation and produces a derivative file that can be evaluated to obtain the derivative of the original function at a numeric value of the input. A convenient by product of the file generation is the sparsity pattern of the derivative function. Moreover, as both the input and output to the algorithm are source codes, the algorithm may be applied recursively to generate derivatives of any order. A key component of the algorithm is its ability to statically exploit derivative sparsity at the MATLAB operation level in order to improve run-time performances. The algorithm is applied to four different classes of example problems and is shown to produce run-time efficient derivative codes. Due to the static nature of the approach, the algorithm is well suited and intended for use with problems requiring many repeated derivative computations.

Algorithm XXX: Explicit solutions of triangular systems of first-order linear initial-value ordinary diff€erential equations with constant coeff€icients

A method to compute an explicit solution of triangular systems of first-order linear homogeneous initial-value ordinary differential equations with constant coefficients is described. It is suitable for the limited case of well separated eigenvalues, or for multiple zero eigenvalues provided the entire column of a zero eigenvalue is zero. It requires only to compute a constant matrix using a simple recurrence. Computing the solutions of the system from that matrix, for values of the independent variable, requires to exponentiate only the diagonal of a matrix. It is not necessary to compute the exponential of a general triangular matrix. One application is to solve equations of radioactive decays that do not have fission or neutron absorption.

TTC: A High-performance Compiler for Tensor Transpositions

We present TTC, an open-source parallel compiler for multidimensional tensor transpositions. In order to generate high-performance C++ code, TTC explores a number of optimizations, including software prefetching, blocking, loop-reordering, and explicit vectorization. To evaluate the performance of multidimensional transpositions across a range of possible use-cases, we also release a benchmark covering arbitrary transpositions of up to six dimensions. Performance results show that the routines generated by TTC achieve close to peak memory bandwidth on both the Intel Haswell and the AMD Steamroller architectures, and yield significant performance gains over modern compilers. By implementing a set of pruning heuristics, TTC allows users to limit the number of potential solutions; this option is especially useful when dealing with high-dimensional tensors, as the search space might become prohibitively large. Experiments indicate that when only 100 potential solutions are considered, the resulting performance is about 99% of that achieved with exhaustive search.

Algorithm XXX: Recursive Algorithms for Dense Linear Algebra -- The ReLAPACK Collection

To exploit both memory locality and the full performance potential of highly tuned kernels, dense linear algebra libraries such as LAPACK commonly implement operations as blocked algorithms. However, to achieve next-to-optimal performance with such algorithms, significant tuning is required. On the other hand, recursive algorithms are virtually tuning free, and yet attain similar performance. In this paper, we first analyze and compare blocked and recursive algorithms in terms of performance, and then introduce ReLAPACK, an open-source library of recursive algorithms to seamlessly replace most of LAPACKs blocked algorithms. In many scenarios, ReLAPACK clearly outperforms reference LAPACK, and even improves upon the performance of optimizes libraries.

Algorithm xxx: A Suite of Compact Finite Difference Schemes

A collection of the MATLAB routines that compute first and second derivative approximations of an arbitrary function using high-order compact finite difference schemes is presented. For periodic boundary conditions, up to tenth order accurate compact finite difference schemes are obtained for first and second derivative approximations and up to sixth order accurate compact finite difference schemes are obtained for third and fourth derivative approximations. Compact finite difference schemes for first and second derivative approximations are also extended for Dirichlet and Neumann boundary conditions which are up to sixth order accurate. Moreover, high-order compact finite difference schemes for partial derivative approximations of any functions in two variable are also given for periodic and Dirichlet boundary conditions. For each case a MATLAB routine is provided to compute the differentiation matrix. Fourier analysis of the compact finite difference schemes is explained and it is shown that compact finite difference schemes have better resolution characteristics as compared to classical finite difference schemes.

Numerically-aware orderings for sparse symmetric indefinite linear systems

Sparse symmetric indefinite problems arise in a large number of important application areas; they are often solved through the use of an $LDL^T$ factorization via a sparse direct solver. Whilst for many problems, prescaling the system matrix $A$ is sufficient to maintain stability of the factorization, for a small but important fraction of problems numerical pivoting is required. Pivoting often incurs a significant overhead and consequently a number of techniques have been proposed to try and limit the need for pivoting. In particular, numerically-aware ordering algorithms may be used, that is, orderings that depend not only on the sparsity pattern of $A$ but also on the values of its (scaled) entries. Current approaches identify large entries of $A$ and symmetrically permute them onto the subdiagonal where they can be used as part of a $2\times2$ pivot. This is numerically effective, but the fill in the factor $L$ and hence the runtime of the factorization and subsequent triangular solves may be significantly increased over a standard ordering if no pivoting is required. We present a new algorithm that combines a matching-based approach with a numerically-aware nested dissection ordering. Numerical comparisons with current approaches for some tough symmetric indefinite problems are given.

Tight and rigourous error bounds for basic building blocks of double-word arithmetic

We analyze several classical basic building blocks of double-word arithmetic (frequently called ``double-double arithmetic'' in the literature): the addition of a double-word number and a floating-point number, the addition of two double-word numbers, the multiplication of a double-word number by a floating-point number, the multiplication of two double-word numbers, the division of a double-word number by a floating-point number, and the division of two double-word numbers. For multiplication and division we get better relative error bounds than the ones previously published. For addition of two double-word numbers, we show that the previously published bound was wrong, and we provide a relative error bound. We introduce new algorithms for division. We also give examples that illustrate the tightness of our bounds.

Algorithm xxx: Fast computation of the non-asymptotic Cochran's Q statistic for heterogeneity detection

The detection of heterogeneity among objects assessed on a series of blocks is critical in numerous areas such as clinical research, cosmetic studies or survey analysis. The Cochrans Q test is the most widely used test for identifying heterogeneity on binary data . The purpose of this article is to propose an extremely fast implementation of the exact Cochrans Q test so that one can benefit from its accuracy at virtually no cost regarding computation time. After a short presentation of the Cochrans Q test and the motivation for its exact version, we detail our approach and present its actual implementation. We then demonstrate the gain of this algorithm with performance evaluations and measurements. Comparisons against a well established implementation have shown an increase of the computational velocity by a factor ranging from 100 up to 1x10^6 in the most favorable cases.

About TOMS

The purpose of the ACM Transactions on Mathematical Software (TOMS) is to communicate important research results addressing the development, evaluation and use of mathematical software...

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Bibliometrics

Publication Years 1975-2017
Publication Count 1505
Citation Count 14705
Available for Download 1505
Downloads (6 weeks) 5993
Downloads (12 Months) 50047
Downloads (cumulative) 1023777
Average downloads per article 680
Average citations per article 10
First Name Last Name Award
Vernon Austel ACM Gordon Bell Prize (2006)
David H Bailey ACM Gordon Bell Prize (2008)
George Biros ACM Gordon Bell Prize
Performance (2010) ACM Gordon Bell Prize
Performance (2010)
Ronald Boisvert ACM Distinguished Member (2006)
Richard P Brent ACM Fellows (1995)
Bruno Buchberger ACM Paris Kanellakis Theory and Practice Award (2007)
Alan Bundy ACM Fellows (2014)
Edmond Chow ACM Gordon Bell Prize
Special Category (2009) ACM Gordon Bell Prize
Special Category (2009)
Timothy Alden Davis ACM Fellows (2014)
James Demmel ACM Paris Kanellakis Theory and Practice Award (2014)
ACM Fellows (1999)
Narsingh Deo ACM Fellows (1996)
Inderjit Dhillon ACM Fellows (2014)
David P Dobkin ACM Fellows (1997)
Jack Dongarra ACM-IEEE CS Ken Kennedy Award (2013)
ACM Fellows (2001)
Richard J Fateman ACM Fellows (1999)
Stuart Feldman ACM Software System Award (2003)
ACM Fellows (1995)
Charles W Gear ACM Fellows (1994)
John Gunnels ACM Gordon Bell Prize (2007)
John A. Gunnels ACM Gordon Bell Prize (2006)
Gopal Krishna Gupta ACM Fellows (1998)
Michael T Heath ACM Fellows (2000)
Michael A Heroux ACM Distinguished Member (2009)
Tom Hull ACM Fellows (1994)
Anil K Jain ACM Fellows (2003)
Aravind K Joshi ACM Fellows (1998)
William Kahan ACM Fellows (1994)
ACM A. M. Turing Award (1989)
Erich L Kaltofen ACM Fellows (2009)
Matthew Knepley SIAM/ACM Prize in Computational Science and Engineering (2014)
David J Kuck ACM-IEEE CS Ken Kennedy Award (2010)
ACM Fellows (1994)
ACM-IEEE CS Eckert-Mauchly Award (1993)
Byounghak Lee ACM Gordon Bell Prize (2008)
Dhairya Malhotra ACM-IEEE CS George Michael Memorial HPC Fellowships (2015)
ACM Gordon Bell Prize
Performance (2010)
Lois C McInnes SIAM/ACM Prize in Computational Science and Engineering (2014)
John Mellor-Crummey ACM Fellows (2013)
Cleve Moler SIAM/ACM Prize in Computational Science and Engineering (2009)
Dianne P O'Leary ACM Distinguished Member (2006)
ACM Fellows (2006)
Naren Ramakrishnan ACM Distinguished Member (2009)
John Rice ACM Fellows (1996)
Sartaj K Sahni ACM Karl V. Karlstrom Outstanding Educator Award (2003)
ACM Fellows (1996)
Ahmed Sameh ACM Fellows (1999)
John E Savage ACM Fellows (1996)
Robert B Schnabel ACM Fellows (2010)
Robert Schreiber ACM Fellows (2012)
ACM Distinguished Member (2006)
Horst D Simon ACM Gordon Bell Prize
Special Category (2009) ACM Gordon Bell Prize
Special Category (2009)
Barry Smith SIAM/ACM Prize in Computational Science and Engineering (2014)
Kris Stewart ACM Senior Member (2015)
Harold Stone ACM Fellows (1994)
Nathan Tallent ACM-IEEE CS George Michael Memorial HPC Fellowships (2009)
Robert E Tarjan ACM Paris Kanellakis Theory and Practice Award (1999)
ACM Fellows (1994)
ACM A. M. Turing Award (1986)
Joseph Traub ACM Fellows (1994)
Jeffrey S Vetter ACM Distinguished Member (2012)
ACM Gordon Bell Prize
Performance (2010)
Robert A. Walker Outstanding Contribution to ACM Award (2007)
ACM Distinguished Member (2006)
Chris S Wallace ACM Fellows (1995)
Bruce W Weide ACM Senior Member (2009)
Kesheng Wu ACM Distinguished Member (2010)
ACM Senior Member (2007)
Andrew C Yao ACM A. M. Turing Award (2000)
ACM Fellows (1995)
Pamela Zave ACM Fellows (2001)
Hong Zhang SIAM/ACM Prize in Computational Science and Engineering (2014)
Benjamin G Zorn ACM Distinguished Member (2011)

First Name Last Name Paper Counts
Iain Duff 28
Robert Renka 22
Fred Krogh 21
Robert Van De Geijn 20
Jennifer Scott 20
John Reid 17
Jack Dongarra 17
Bo Kågström 15
Timothy Davis 15
Donald Amos 14
Lawrence Shampine 14
Richard Hanson 14
Wayne Enright 14
Jorge Moré 12
John Rice 12
Layne Watson 12
Burton Garbow 12
James Demmel 12
Joseph Liu 11
Fred Gustavson 11
William Cody 10
Timothy Hopkins 9
Walter Gautschi 9
Elias Houstis 9
Nico Temme 9
Amparo Gil 9
Xiaoyesherry Li 9
Linda Kaufman 9
Javier Segura 9
Nicholas Higham 8
Jeff Cash 8
Field Van Zee 8
Ping Tang 8
Enrique Quintana-Ortí 8
Nicholas Gould 8
Patrick Keast 8
John Pryce 8
Terje Espelid 7
Michael Heroux 7
Ronald Boisvert 7
Gregorio Quintana-Ortí 7
Sven Hammarling 7
Ralph Kearfott 7
Hiroshi Akima 7
John Lewis 7
Albert Buckley 7
Almerico Murli 7
Thomas Hull 6
Albrecht Preusser 6
Daniel Kressner 6
James Lyness 6
Philippe Toint 6
Roger Grimes 6
Richard Bartels 6
Robert Kirby 6
David Gay 6
Anders Logg 6
Robert Ward 6
Pierre L'Ecuyer 6
Ian Gladwell 6
Ronald Cools 6
Panos Pardalos 6
Annie Cuyt 6
Gilbert Stewart 6
Geoffrey Hill 5
Robert Schnabel 5
Tamar Schlick 5
Thomas Coleman 5
Patrick Gaffney 5
Jerzy Waśniewski 5
Paul Muir 5
Kendall Atkinson 5
Graeme Fairweather 5
Tony Chan 5
Van Van Snyder 5
Jarle Berntsen 5
Sivan Toledo 5
Richard Sincovec 5
Zhaojun Bai 5
Alexander Morgan 5
Krzysztof Sikorski 5
Anil Rao 5
William Mitchell 5
Yu Kuznetsov 5
Mauricio Resende 5
Jeremy Du Croz 5
Paolo Toth 4
Tzemeng Low 4
Chao Yang 4
Salvatore Filippone 4
Ian Robinson 4
Wayne Dyksen 4
David Dodson 4
William Hager 4
Alan George 4
Valerio Parisi 4
Francesco Zirilli 4
Richard Lehoucq 4
Christof Vömel 4
Wolfgang Bangerth 4
Jean Muller 4
Paul Bailey 4
Norman Schryer 4
Naren Ramakrishnan 4
Uwe Naumann 4
Christian Bischof 4
Werner Rheinboldt 4
Jan Verwer 4
Calvin Ribbens 4
John Monahan 4
Daniel Lozier 4
Lothar Reichel 4
Charles Fulton 4
Osni Marques 4
Philip Sharp 4
David Kahaner 4
Jorge Nocedal 4
Ahmed Sameh 4
Joke Blom 4
Filippo Aluffi-Pentini 4
Michael Saunders 4
Carl De Boor 4
Beresford Parlett 4
Paolo Bientinesi 4
Michael Patterson 4
David Smith 4
Tamara Kolda 4
Richard Brent 4
Granville Sewell 3
Hatem Ltaief 3
Kenneth Hillstrom 3
Andrew Conn 3
Steven Benson 3
John Gunnels 3
Margaret Wright 3
Charles Gear 3
Silvano Martello 3
Richard Simard 3
Luís Vicente 3
Willy Govaerts 3
Wolfgang Hörmann 3
Shaun Forth 3
Norman Gibbs 3
Alan Genz 3
Jon Bentley 3
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Sanjiva Weerawarana 3
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Yifan Hu 3
Thomas Aird 3
Ron Dembo 3
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Armido DiDonato 3
Alan Jennings 3
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R Brankin 3
William Brown 3
Joachim Ahrens 3
Paola Favati 3
Juan Meza 3
William Kahan 3
Marzio Sala 3
Peter Benner 3
David Bailey 3
Maria Sosonkina 3
Desmond Higham 3
Bennett Fox 3
Aaron Fogelson 3
Webb Miller 3
Mariarosaria Rizzardi 3
David Shanno 3
Yozo Hida 3
Martin Berzins 3
Anton Zettl 3
Kenneth Neves 3
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Stan Cabay 3
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Giorgio Carpaneto 3
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Steven Pruess 3
Roscoe Bartlett 3
Julien Langou 3
Arnold Neumaier 3
Grazia Lotti 3
Bruce Schmeiser 3
Lars Karlsson 3
Christoph Lauter 3
Danny Sorensen 3
Andrew Sommese 3
John Rice 3
Ron Brown 3
Alfredo Buttari 3
Kristján Jónasson 3
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Louis Rall 2
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ACM TOMS Staff 2
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K Kessel 1
Bard Skaflestad 1
Håvard Berland 1
Valérie Frayssé 1
Joris Van Deun 1
Waltraud Huyer 1
Zahari Zlatev 1
Victor Rayward-Smith 1
Anonymous 1
Selim Akl 1
Hannu Huhdanpaa 1
Stuart Schwartz 1
John Van Ness 1
Orit Shacham 1
Marko Van Eekelen 1
J Scott 1
James Smith 1
Jérôme Malick 1
Murat Manguoglu 1
Manojkumar Krishnan 1
Bruno Salvy 1
Yuanan Fan 1
Kevin McGill 1
J and 1
Anthony Davis 1
Pieter Ghysels 1
Artem Napov 1
Gitta Kutyniok 1
Thomas Lewiner 1
Lennaert Van Veen 1
Alex Dubitski 1
Luis Gatica 1
Geoffrey Belter 1
Vassilios Verykios 1
Carol Woodward 1
Ulrikemeier Yang 1
Eric Phipps 1
Alan Williams 1
Norbert Flocke 1
Naoya Yamanaka 1
Alex Bell 1
Ralf Hartmann 1
Jonathan Tu 1
Zelda Marino 1
Yi Mei 1
Syvert Nørsett 1
Sebastiano Vigna 1
Mikhail Smelyanskiy 1
Patrick Cummins 1
Geoffrey Vallis 1
Steven Parker 1
Omar Awile 1
Mokwon Lee 1
Karl Rupp 1
Josef Weinbub 1
Davi Tozoni 1
James Sutherland 1
Mark Tygert 1
Mathias Jacquelin 1
Marek Sýs 1
Zdeněk Říha 1
F Rabinowitz 1
Jan Mayer 1
William Ford 1
Piotr Wendykier 1
Pasqua D’Ambra 1
Ekanathan Palamadai Natarajan 1
Vitus Leung 1
William Thacker 1
Alan Bundy 1
Ronald Haynes 1
Joris Van Der Hoeven 1
Marielba Rojas 1
Ingo Eble 1
Alice Ko 1
M Marchesi 1
Scott Rickard 1
Konstantinos Drakakis 1
Sébastien Digabel 1
Hermann Brunner 1
Omer Meshar 1
Dan Gordon 1
Yanqing Chen 1
Johan Jansson 1
Marc Pouget 1
Felix Herrmann 1
David Bunch 1
Robert Voigt 1
Laurent Granvilliers 1
John Boyd 1
James Bennett 1
Sandro Romanzetti 1
T Dierkes 1
Nadim Shah 1
John Walsh 1
Kozo Ichida 1
J Jansen 1
Paul Holland 1
Christopher Beattie 1
Milan Novotny 1
Giuseppe Fiorentino 1
Luc Pluym 1
Peter Tischer 1
Willi Schönauer 1
Trond Steihaug 1
Daniel Reynolds 1
Gianmarco Manzini 1
Peter Otto 1
TaTung Chow 1
Fernando Garcıa-Alonso 1
Toon Knapen 1
Guillaume Melquiond 1
Anthony Padula 1
Gregory Bard 1
Stanley Eisenstat 1
Mutsuo Saito 1
Makoto Matsumoto 1
Caroline Japhet 1
Koen Poppe 1
Albert Rich 1
Robert Walker 1
M Wimmer 1
Jonathan Hauenstein 1
Frank Sottile 1
Xia Ji 1
John Coleman 1
M Gordon 1
Bruce Weide 1
Richard Luczak 1
W Wyatt 1
Thierry Dargent 1
Virginie De Witte 1
Serge Torres 1
Francis Russell 1
Anthony Castaldo 1
Paul Castillo 1
Tangan Gao 1
Xiaofeng Xu 1
Vladimir Cherkassky 1
George White 1
R Futrell 1
Rose Prior 1
Fred Crary 1
Jennie SooHoo 1
Won Chung 1
German Tischler 1
William Coughran, 1
M Kung 1
Donald Monro 1
Flavia De Tisi 1
Anil Kapur 1
Henry Shapiro 1
Douglas Priest 1
Johann Schumann 1
Daniel Silva 1
Raha Akhavan-Tabatabaei 1
Wojciech Cellary 1
Rose Motley 1
Franky Backeljauw 1
Ernie Chan 1
M Dobmann 1
Valérie Fraysse 1
Shakhina Pulatova 1
Gregory Imirzian 1
Torbjorn Wiberg 1
Clay Breshears 1
Natasha Kovacevic 1
Roger Sidje 1
Mahesh Joshi 1
Otto Munthe 1
Peter Markstein 1
Homer Walker 1
Robert Melville 1
J Kaffanke 1
Stuart Anderson 1
Edward Rothberg 1
J Schonfelder 1
Elaine Notis 1
Esko Ukkonen 1
R Feldman 1
Jon Radue 1
James Saxe 1
H Kollakowski 1
U Harms 1
Carsten Burstedde 1
Harshad Kanhere 1
G Stuart 1
Christopher Thompson 1
Anthony Jones 1
George Labahn 1
R Sundarraj 1
Patrick Siarry 1
Fouad Majaess 1
Tibor Grasser 1
Cid De Souza 1
Fernando Blesa 1
Makoto Yamashita 1
Maho Nakata 1
ChinJu Fan 1
M Fisher 1
Florian Rathgeber 1
Alberto Abad 1
Manuel Marin 1
David Defour 1
Joel Katcoff 1
Ingrid Bongartz 1
Tom Rowan 1
Christopher Baker 1
Helmut Roth 1
José Martínez 1
Martin Berggren 1
Timothy Freeman 1
James Verner 1
Qiang Ye 1
C Forney 1
Paul Nikolai 1
Louis Ehrlich 1
Susan Picken 1

Affiliation Paper Counts
University of Puerto Rico-Mayaguez 1
Weierstrass Institute for Applied Analysis and Stochastics 1
Hydrological Service of Israel 1
Leibniz Supercomputing Center Munich 1
Toyota Technological Institute at Chicago 1
Edinboro University of Pennsylvania 1
NVIDIA 1
The MathWorks, Inc. 1
Bergen Scientific Centre 1
Statoil ASA 1
Computer Sciences Corporation, Australia 1
Airbus Deutschland GmbH 1
Camosun College 1
Barcelona Supercomputing Center 1
Research Institute for Advanced Computer Science 1
Institute of Mathematical Problems of Biology, Russian Academy of Sciences 1
Universite de Bordeaux 1
University of Houston-Downtown 1
Laboratoire Bordelais de Recherche en Informatique 1
Indian Institutes of Managements 1
IBM, India 1
IBM, Netherlands 1
Laboratoire de l'Informatique du Parallelisme 1
Technion - Israel Institute of Technology 1
University of Graz 1
Waseda University 1
Universite Claude Bernard Lyon 1 1
Institute of Marine Research 1
Brooklyn College 1
AT&T Information Systems 1
Ecole Centrale Paris 1
Southern Illinois University 1
Open University of the Netherlands 1
Universite Paris-Sud XI 1
University of California, Santa Cruz 1
University of Alabama 1
Harris Corporation 1
Indian Institute of Technology, Madras 1
Korea Institute of Science and Technology 1
Mathematical Research Institute, Utrecht University 1
Defence Science and Technology Laboratory 1
Winthrop University 1
University of Nebraska - Lincoln 1
Stony Brook University 1
University of Melbourne 1
Nokia Corporation 1
Universite Hassan 1er 1
Universidad Autonoma de Madrid 1
Clark University 1
Polytechnic University, Gdansk 1
Oracle Corporation 1
University of Hamburg 1
Palo Alto Research Center Incorporated 1
St. Louis University 1
Siemens AG 1
Sunnybrook Health Sciences Centre 1
California State University Long Beach 1
Institute of Chemical Methodologies, Rome 1
University of California, Riverside 1
University of Aarhus 1
North-West University 1
Teikyo Heisei University 1
Ford Motor Company 1
University of Missouri-St. Louis 1
Gettysburg College 1
Temple University 1
Verimag 1
California State University Los Angeles 1
University of Copenhagen 1
Universite Jean Monnet Saint-Etienne 1
University of Gottingen 1
Universidad Catolica de la Santisima Concepcion 1
Universite de Perpignan 1
Utah State University 1
Michigan State University 1
Miami University Oxford 1
Michoacan University of Saint Nicholas of Hidalgo 1
Eindhoven University of Technology 1
Public University of Navarrea 1
Colegio de Postgraduados 1
University College of Boras 1
Wake Forest University 1
University of Leicester 1
University of Idaho 1
Universidad de Los Andes, Colombia 1
Vilnius University 1
National Institute for Research and Development in Informatics 1
Ohio University Athens 1
Baylor University 1
Auburn University 1
University of Reading 1
University of Oregon 1
National Chiao Tung University Taiwan 1
Lubeck University 1
MITRE Corporation 1
Mathematical Sciences Research Institute 1
Verizon Communications 1
The Council for Scientific and Industrial Research 1
Ca' Foscari University of Venice 1
Institute of Ocean Sciences, Fisheries and Oceans Canada 1
Beihang University 1
Brno University of Technology 1
Adam Mickiewicz University in Poznan 1
VA Medical Center 1
Lappeenranta University of Technology 1
University of Massachusetts Amherst 1
Danish Meteorological Institute 1
Kalamazoo College 1
Fordham University 1
CPB Netherlands Bureau for Economic Policy Analysis 1
Chuo University 1
University of Kansas Lawrence 1
Keimyung University 1
SAIC 1
University of Trento 1
University of Witwatersrand 1
United States National Aeronautics and Space Administration 1
Riken 1
Tech-X Corporation 1
INRIA Lorraine 1
The University of North Carolina System 1
University of South Carolina 1
Wright State University 1
Tamkang University 1
Polytechnic School of Montreal 1
University of Southern Denmark 1
Bloomsburg University 1
Ethyl Corporation 1
Universite de Bretagne Occidentale 1
European Organization for Nuclear Research 1
Thales Alenia Space 1
US Naval Underwater Systems Center 1
Fort Hays State University 1
University of Calabria 1
Bucknell University 1
University of Canterbury 1
Humboldt State University 1
Royal Holloway University of London 1
Brunel University London 1
Harvard-Smithsonian Center for Astrophysics 1
Flinders University of South Australia 1
California State University Northridge 1
RIKEN (The Institute of Physical and Chemical Research) 1
Indiana University 1
National Center for Atmospheric Research 1
University of Chemistry and Technology, Prague 1
Exxon Mobil Corporation 1
The University of Warwick 1
Aalborg University 1
Meiji University 1
Davidson College 1
Universite Libre de Bruxelles 1
Rutgers University-Newark Campus 1
California State University Fullerton 1
National University of Cordoba 1
Humboldt University of Berlin 1
Western Michigan University 1
University of Liege 1
Universidad Central de Venezuela 1
Universite Pierre et Marie Curie 1
Johns Hopkins Hospital 1
Royal Institute of Technology 1
University of Amsterdam 1
Institute for Infocomm Research, A-Star, Singapore 1
Chinese University of Hong Kong 1
Illinois Institute of Technology 1
University of Helsinki 1
University of Haifa 1
Radcliffe Infirmary 1
University of Texas at Arlington 1
Ohio State University 1
Arizona State University 1
Queens College, City University of New York 1
Cleveland State University 1
Sintef Foundation for Scientific and Industrial Research At the Norwegian Institute of Technology 1
Middle East Technical University 1
ANSYS, Inc. 1
University of Geneva 1
Proudman Oceanographic Laboratory 1
University of Parma 1
University of Illinois 1
Nanyang Technological University 1
James Madison University 1
Bogazici University 1
University of Wisconsin Eau Claire 1
Unisys Corporation 1
University of Missouri-Columbia 1
MIT Computer Science and Artificial Intelligence Laboratory 1
NASA Goddard Space Flight Center 1
University of Salerno 1
Academy of Economic Studies, Bucharest 1
Lulea University of Technology 1
University of Rochester Laboratory for Laser Energetics 1
Universitat Politecnica de Catalunya 1
German Aerospace Center 1
Laboratoire d'Informatique, de Robotique et de Microelectronique de Montpellier LIRMM 1
Technical University in Braunschweig 1
University of Copenhagen, Faculty of Life Sciences 1
University of Sao Paulo 1
Massey University 1
Universite de Limoges 1
University of Bradford 1
National University of Ireland, Galway 1
Hong Kong University of Science and Technology 1
Sabanci University 1
Educational Testing Service 1
University of California , Merced 1
Linkoping University 1
University of Adelaide 1
Tampere University of Technology 1
Washington State University 1
Technical University of Hamburg-Harburg 1
University of KwaZulu-Natal 1
University of Ulm 1
National Physical Laboratory 1
McMaster University, Faculty of Engineering 2
IBM France Company 2
Charles Stark Draper Lab Inc 2
Weizmann Institute of Science Israel 2
Carleton University 2
Bowling Green State University 2
University of Wisconsin 2
Universite de la Mediterranee Aix-Marseille II 2
Foundation for Research and Technology-Hellas 2
Chinese Academy of Sciences 2
Graz University of Technology 2
University of Minho 2
Hewlett-Packard Inc. 2
University of Bristol 2
Texas Tech University at Lubbock 2
Technical University of Clausthal 2
University of Florence 2
Johannes Kepler University Linz 2
The Johns Hopkins University Applied Physics Laboratory 2
Queen Mary, University of London 2
University of Durham 2
The Babcock & Wilcox Company 2
Ecoles polytechniques federales 2
Pacific Northwest National Laboratory 2
Cardiff University 2
Osaka University 2
Hanyang University 2
Parthenope University of Naples 2
University of Tokyo 2
Stanford Linear Accelerator Center 2
Clarkson University 2
University of Camerino 2
Ben-Gurion University of the Negev 2
Naval Research Laboratory 2
Complutense University of Madrid 2
National Telecommunications and Information Administration 2
Technical University of Madrid 2
University of Athens 2
Laboratoire d'Informatique de l'Ecole Polytechnique 2
The University of Georgia 2
Autonomous Technological Institute of Mexico 2
University of Bath 2
Shell Global 2
Syracuse University 2
University of California, San Diego 2
Hiroshima University 2
Nortel Networks 2
Universite de Nantes 2
University of Verona 2
University of Cagliari 2
University of Electro-Communications 2
National Autonomous University of Mexico 2
Arkansas State University 2
Laval University 2
Indian Institute of Technology, Delhi 2
Zuse Institute Berlin 2
Griffith University 2
Naval Postgraduate School 2
California State University 2
Gonzaga University 2
University of Monastir 2
University of Nis 2
University of Cyprus 2
Yahoo Inc. 2
Ariel University Center of Samaria 2
University of the West of Scotland 2
University of East Anglia 2
University of Munster 2
SRI International 2
Kansas State University 2
University of Erlangen-Nuremberg 2
NASA Langley Research Center 2
Catholic University of Louvain, Louvain-la-Neuve 2
Loughborough University 2
Emory University 2
University of Crete 2
University of Stellenbosch 2
Universidad Carlos III de Madrid 2
University of Sheffield 2
University of Ontario Institute of Technology 2
Victoria University of Wellington 2
Northeastern Illinois University 2
McGill University 2
Delaware State University 2
University of Siena 2
Universidad de la Laguna 2
Austrian Academy of Sciences 2
University Politehnica of Bucharest 2
University of Peloponnese 2
Uppsala University 2
Marshall University 2
Oberlin College 2
Laboratoire d'Analyse et d'Architecture des Systemes 2
University of Houston 2
Google Inc. 2
Brookhaven National Laboratory 2
The University of Hong Kong 2
City University of New York 2
Louisiana State University 2
Ames Laboratory 2
Bremen University 2
Naval Surface Warfare Center Dahlgren Division 2
Ontario Cancer Institute 2
Colorado State University 2
Wayne State University 2
Universite des Sciences et Technologies de Lille 2
Escuela Tecnica Superior de Ingenieros de Telecomunicacion, Madrid 2
Universite Paris 13 2
Defence College of Management and Technology 2
Fudan University 2
University of Innsbruck 2
University of Groningen 2
University of Colorado at Colorado Springs 2
Cairo University 2
HP Labs 2
University of Rhode Island 2
Eastern Washington University 2
Polytechnic Institute of Turin 2
Georgia State University 2
United States Geological Survey Central Region 2
Czech Technical University in Prague 2
Martin Luther University of Halle-Wittenberg 2
General Dynamics Corporation 2
University of Maryland, Baltimore 2
Sun Microsystems 2
Bilkent University 2
University of Texas M. D. Anderson Cancer Center 2
Royal Roads University 2
Wolfram Research, Inc. 2
University of Stuttgart 2
Case Western Reserve University 3
University of Texas at San Antonio 3
Iowa State University 3
Technical University of Sofia 3
University of Modena and Reggio Emilia 3
Institute for Telecommunication Sciences 3
Energy Information Administration 3
University of Pennsylvania 3
Old Dominion University 3
University of Texas at El Paso 3
Commissariat a L'Energie Atomique CEA 3
Chemnitz University of Technology 3
CNRS Centre National de la Recherche Scientifique 3
Fritz Haber Institute of the Max Planck Society 3
United Arab Emirates University 3
National Instruments 3
University of Texas at Dallas 3
National Research Council Canada 3
Universitat d'Alicante 3
Kyoto University 3
Technical University of Darmstadt 3
University of Wurzburg 3
Oregon State University 3
Indian Institute of Technology, Bombay 3
Hong Kong Baptist University 3
Drexel University 3
Colorado School of Mines 3
University of Washington, Seattle 3
San Jose State University 3
Marquette University 3
Max Planck Institute for Dynamics of Complex Technical Systems 3
Saint Mary's University 3
Loyola Marymount University 3
Computer Sciences Corporation - USA 3
University of Liverpool 3
Royal Philips Electronics 3
University of Connecticut 3
Lockheed Martin Space Systems Company 3
University of Wuppertal 3
University of Strathclyde 3
The University of North Carolina at Chapel Hill 3
University of Teesside 3
IBM Haifa Labs 3
Microsoft Corporation 3
Clemson University 3
University of California, Los Angeles 3
University of New South Wales 3
Lund University 3
Masaryk University 3
Aerospace Corporation 3
MRC Clinical Research Centre 3
Federal University of Minas Gerais 3
University of Regina 3
University of Milan 3
Rutgers, The State University of New Jersey 3
California Institute of Technology 3
Pontifical Catholic University of Rio de Janeiro 3
Harvard School of Public Health 3
Saarland University 3
University of Iceland 3
King Abdullah University of Science and Technology 3
IBM Italia 3
University of Padua 4
General Motors 4
Florida State University 4
University of Victoria 4
Courant Institute of Mathematical Sciences 4
NASA Ames Research Center 4
University College Dublin 4
Delft University of Technology 4
AT&T Laboratories Florham Park 4
Poznan University of Technology 4
Australian National University 4
University of Arizona 4
RMIT University 4
Brown University 4
University of Kiel 4
University of Oulu 4
INRIA Institut National de Rechereche en Informatique et en Automatique 4
University of Hawaii at Manoa 4
Philips Research 4
University of New Brunswick 4
Cray Inc. 4
Simon Fraser University 4
Universite Paris Sorbonne - Paris IV 4
Memorial University of Newfoundland 4
Georgia Institute of Technology 4
Naval Surface Warfare Center 4
University of Virginia 4
University Michigan Ann Arbor 4
NASA Glenn Research Center 4
University of Pisa 4
University of Southern California 4
University of Minnesota Twin Cities 4
Columbia University 4
Harwell Lab 4
University of Texas System 4
University of New Mexico 4
V.M.Glushkov Institute of Cybernetics 4
Universite de Lyon 4
Universite Grenoble Alpes 4
University of Waikato 5
University of Auckland 5
Facultes Universitaires Notre-Dame de la Paix 5
Forschungszentrum Julich GmbH 5
Utrecht University 5
Duke University 5
GM Research Lab 5
University of Colorado at Denver 5
Florida Institute of Technology 5
Universidad Politecnica de Valencia 5
Queen's University, Kingston 5
Michigan Technological University 5
National University of Singapore 5
Technical University of Dresden 5
University of Birmingham 5
Leiden University 5
University College London 5
University of Delaware 5
University of Bayreuth 5
Politecnico di Milano 5
University of Vienna 5
University of Edinburgh 5
University of Illinois at Chicago 5
Swiss Federal Institute of Technology, Lausanne 5
Ball State University 5
LORIA Laboratoire Lorrain de Recherche en Informatique et ses Applications 5
Karlsruhe Institute of Technology, Campus South 5
Queen's University Belfast 5
IRIT Institut de Recherche Informatique de Toulouse 5
Union Carbide Corporation 5
University of Alberta 5
Ryerson University 5
University of Cambridge 5
McMaster University 5
Vienna University of Economics and Business Administration 6
Simula Research Laboratory 6
Los Alamos National Laboratory 6
University of California, Irvine 6
Northern Illinois University 6
Harvard University 6
University of Oslo 6
AT&T Inc. 6
University of Saskatchewan 6
University of Bari 6
State University of Campinas 6
Kent State University 6
CERFACS 6
University of Queensland 6
Concordia University, Montreal 6
Cranfield University 7
Johns Hopkins University 7
La Trobe University 7
The University of Western Ontario 7
Norwegian University of Science and Technology 7
Monash University 7
Technical University of Munich 7
University of Coimbra 7
University of Iowa 7
University of Roma Tor Vergata 7
Carnegie Mellon University 7
University of Ottawa, Canada 7
University of California, Santa Barbara 7
University of Chicago 7
Commonwealth Scientific and Industrial Research Organization 7
Academy of Sciences of the Czech Republic (Avcr.Cz) 7
Technical University of Berlin 8
University of Louisiana at Lafayette 8
University of Cantabria 8
University of Pittsburgh 8
Dalhousie University 8
The University of Tennessee System 8
Vienna University of Technology 8
Swiss Federal Institute of Technology, Zurich 8
University of Oxford 8
Tokyo Institute of Technology 8
University of Western Australia 8
University of Roma La Sapienza 8
Intel Corporation 8
United Kingdom Atomic Energy Authority 9
North Carolina State University 9
Tel Aviv University 9
University of Zagreb 9
University of Kent 9
University of Leeds 9
University of Kentucky 9
The College of William and Mary 9
Italian National Research Council 9
INRIA Sophia Antipolis 9
Ecole Normale Superieure de Lyon 10
Northwestern University 10
University of California, Davis 10
Washington State University Pullman 10
University of Twente 10
New York University 10
Universidad de Zaragoza 11
IBM, USA 11
University of Bologna 11
University of Bergen 11
Ghent University 11
Texas A and M University 12
University of Wisconsin Madison 12
York University Canada 12
Princeton University 13
Yale University 13
Cornell University 13
Jet Propulsion Laboratory 13
Technical University of Denmark 13
Sandia National Laboratories, California 13
Southern Methodist University 13
University of Montreal 14
The University of British Columbia 14
University of Notre Dame 14
Pennsylvania State University 15
University of Maryland 15
Rensselaer Polytechnic Institute 15
Numerical Algorithms Group 15
University of Colorado at Boulder 16
Universidad Jaume I 16
University of Antwerp 16
Massachusetts Institute of Technology 16
University of Naples Federico II 18
Oak Ridge National Laboratory 18
Boeing Corporation 18
Rice University 19
IBM Thomas J. Watson Research Center 19
Catholic University of Leuven, Leuven 19
University of Illinois at Urbana-Champaign 20
Center for Mathematics and Computer Science - Amsterdam 20
University of North Texas 20
Lawrence Livermore National Laboratory 20
University of Manchester 21
RWTH Aachen University 21
University of Utah 21
University of Waterloo 24
Stanford University 25
University of Tennessee, Knoxville 28
Imperial College London 31
Virginia Tech 31
National Institute of Standards and Technology 32
Umea University 34
Lawrence Berkeley National Laboratory 36
Nokia Bell Labs 36
University of California, Berkeley 41
University of Toronto 43
University of Florida 44
Rutherford Appleton Laboratory 52
Purdue University 59
University of Texas at Austin 70
Sandia National Laboratories, New Mexico 81
Argonne National Laboratory 83

ACM Transactions on Mathematical Software (TOMS)
Archive


2017
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2016
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2012
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2011
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2010
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2009
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2008
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2007
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2006
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2005
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2004
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2003
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2002
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2001
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2000
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1999
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1998
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1997
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1996
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1995
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1994
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1993
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1992
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1991
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1990
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1989
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1988
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1987
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1986
Volume 12 Issue 4, Dec. 1986
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1985
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1984
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1983
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1982
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1981
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1980
Volume 6 Issue 4, Dec. 1980
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1979
Volume 5 Issue 4, Dec. 1979
Volume 5 Issue 3, Sept. 1979
Volume 5 Issue 2, June 1979
Volume 5 Issue 1, March 1979

1978
Volume 4 Issue 4, December 1978
Volume 4 Issue 3, Sept. 1978
Volume 4 Issue 2, June 1978
Volume 4 Issue 1, March 1978

1977
Volume 3 Issue 4, Dec. 1977
Volume 3 Issue 3, Sept. 1977
Volume 3 Issue 2, June 1977
Volume 3 Issue 1, March 1977

1976
Volume 2 Issue 4, Dec. 1976
Volume 2 Issue 3, Sept. 1976
Volume 2 Issue 2, June 1976
Volume 2 Issue 1, March 1976

1975
Volume 1 Issue 4, Dec. 1975
Volume 1 Issue 3, Sept. 1975
Volume 1 Issue 2, June 1975
Volume 1 Issue 1, March 1975
 
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