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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)

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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
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 associated coordinate systems. One then needs to store how the coordinate system of each edge relates to that of neighboring cells. On the other hand, we can simplify data structures and algorithms if we can a priori orient coordinate systems in such a way that the coordinate systems on the edges follows uniquely from those on the cells by rule. Such rules require that every unstructured mesh allows assigning directions to edges that satisfy the convention in adjacent cells. We show that the convention chosen for unstructured quadrilateral meshes in the deal.II library always allows to orient meshes. It can therefore be used to make codes simpler, faster, and less bug prone. We present an algorithm that orients meshes in $O(N)$ operations. We then show that consistent orientations are not always possible for 3d hexahedral meshes. Thus, cells generally need to store the direction of adjacent edges, but our approach also allows the characterization of cases where this is not necessary. The 3d extension of our algorithm either orients edges consistently, or aborts, both within $O(N)$ steps.

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: 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.

Algorithm XXX: TMATROM -- A T-matrix Reduced Order Model Software

The T-matrix (TMAT) of a particle fully describes the way the particle 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 an efficient reduced order model (ROM) framework for performing online scattering simulations for various choices of the input parameters. The standard methods used to compute the T-matrix are the Null Field Method (NFM), Point Matching Method (PMM), and the Generalized PMM (GPMM). These methods are known to be numerically unstable for particles with large aspect ratios or large acoustic size. The TMATROM software package provides an object-oriented (OO) implementation of the authors' numerically stable formulation. We compare TMATROM with the NFM, PMM, and GPMM for a range of test particles with large aspect ratios and acoustic sizes. Our numerical results demonstrate the robust numerical stability of the TMATROM implementation, even with particles for which the NFM, PMM, and the GPMM based computations are numerically unstable. The efficiency and flexibility of the TMATROM are also demonstrated. For access to the software package, we refer to our TMATROM manual~\cite{tmatrom-manual}.

A QR--preconditioned QR SVD method for computing the SVD with high accuracy

A new software for computing the SVD decomposition 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 LAPACK as xGEQP3. For experts in matrix computations, the combination of the QR factorization and an SVD computation routine is not new. However, what seems to be new and important for applications is that the resulting procedure is numerically superior to xGESVD and that it is capable of reaching the accuracy of the Jacobi SVD. Further, when combined with pivoted Cholesky factorization, xGESVDQ provides numerically accurate and fast solvers (designated as xPHEVC, xPSEVC) for the Hermitian positive definite eigenvalue problem. For instance, xPSEVC computes all eigenvalues of the 200-by-200 Hilbert matrix (whose spectral condition number is greater that 10^{300}) to nearly full machine precision. Furthermore, xGESVDQ can be used for accurate spectral decomposition of general (indefinite) Hermitian matrices.

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 identifying various challenges associated with the conventional approach, which calls for a carefully-written kernel that implements complex arithmetic at the lowest possible level (i.e., assembly language). We then set out to develop a method of complex matrix multiplication that avoids the need for complex kernels altogether. This constraint promotes code reuse and portability within libraries such as BLAS and BLIS, allows kernel developers to focus their efforts on fewer and simpler kernels, and also avoids a potential performance hazard specific to the complex domain. We develop two alternative approaches---one based on the 3m method and one that reflects the classic 4m formulation---each with multiple variants, all of which rely only upon real matrix multiplication kernels. We discuss the performance characteristics of each method, and observe that the assembly-level method actually resides along the 4m spectrum of algorithmic variants. Implementations are developed within the BLIS framework, and testing on modern hardware confirms that while the less numerically stable 3m method yields the fastest runtimes, the more stable (and thus widely applicable) 4m method's performance is somewhat limited due to implementation challenges which appear inherent in nature.

Algorithm XXX: Safe Scaling in the Level 1 BLAS

The reference version of the vector Basic Linear Algebra Subprograms (the Level 1 BLAS) has some long-standing problems in the handling of vector increments, the scaling of results near overflow and underflow, and the scalability of its test program. Negative increments are treated inconsistently between subprograms operating on a single vector and those operating on two vectors, intermediate results are not always scaled safely, and the test program contains no test vectors longer than 5 elements. This work reimplements the Level 1 BLAS to correct these issues and redesigns the test code to include more comprehensive tests. For the vector 2-norm, the use of multiple accumulators from the original design is restored, and the same algorithm is used to implement a more efficient replacement for the LAPACK auxiliary routine to compute a scaled sum of squares. For the computation of Givens rotations, a simpler scaling than current practice is shown to be safe for most floating-point models.

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.

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.

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 versatile interface as well as a novel self-training option. Its performance compares favourably with that of NOMAD, a state-of-the art package. It is also applicable to multilevel equilibrium- or constrained-type problems. Its easy-to-use interface provides a number of user-oriented features, such as checkpointing and restart, variable scaling and early termination tools.

Performance evaluation of a two-dimensional lattice Boltzmann solver using CUDA and PGAS UPC based parallelisation

The performance of the PGAS UPC and the nVidia GPU CUDA parallelisation approaches are compared while developing a two-dimensional lattice Boltzmann solver. The comparison between the CUDA and UPC parallelisation is presented by taking into account the conceptual efforts, the performance gain, and the limitations. PGAS languages unify the advantages of shared and local memory space, providing a user-friendly code parallellisation and allowing for a focused effort on the challenges of the underlying application problem, compared to the MPI approach. It is shown that the UPC language is ready to be applied for complex physical problems like fluid flow modelling, although using the shared memory space has an effect on the performance. The development of the CUDA code is presented in three, well-distinguishable steps, which highlight that GPU programming needed more effort from the programmer. It was found that the performance of a single scientific computing GPU is comparable to three 48-core computing nodes. The performance of the CUDA code increases with the problem size, although certain limitations are apparent. The UPC solver showed linear scalability in the investigated regime but the compilers failed to treat the shared memory efficiently.

Algorithm xxx: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces

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. This decomposition captures the topological information and permits further computation on the real sets, such as sampling, visualization, and 3D printing.

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 algorithms (such as compensated summation or compensated polynomial evaluation). They are also used for manipulating floating-point expansions. We show that these algorithms are much more robust than it is usually believed: the returned result makes sense even when the rounding function is not round-to-nearest, and they are almost immune to overflow.

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 1496
Citation Count 14482
Available for Download 1496
Downloads (6 weeks) 6982
Downloads (12 Months) 48447
Downloads (cumulative) 1015578
Average downloads per article 679
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)
Bruno Buchberger ACM Paris Kanellakis Theory and Practice Award (2007)
Edmond Chow ACM Gordon Bell Prize
Special Category (2009) ACM Gordon Bell Prize
Special Category (2009)
James Demmel ACM Paris Kanellakis Theory and Practice Award (2014)
Jack Dongarra ACM-IEEE CS Ken Kennedy Award (2013)
Stuart Feldman ACM Software System Award (2003)
John Gunnels ACM Gordon Bell Prize (2007)
John A. Gunnels ACM Gordon Bell Prize (2006)
Michael A Heroux ACM Distinguished Member (2009)
William Kahan ACM A. M. Turing Award (1989)
Matthew Knepley SIAM/ACM Prize in Computational Science and Engineering (2014)
David J Kuck ACM-IEEE CS Ken Kennedy Award (2010)
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)
Cleve Moler SIAM/ACM Prize in Computational Science and Engineering (2009)
Dianne P O'Leary ACM Distinguished Member (2006)
Naren Ramakrishnan ACM Distinguished Member (2009)
Sartaj K Sahni ACM Karl V. Karlstrom Outstanding Educator Award (2003)
Robert Schreiber 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)
Nathan Tallent ACM-IEEE CS George Michael Memorial HPC Fellowships (2009)
Robert E Tarjan ACM Paris Kanellakis Theory and Practice Award (1999)
ACM A. M. Turing Award (1986)
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)
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)
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
A Buckley 7
Almerico Murli 7
Thomas Hull 6
Albrecht Preusser 6
Daniel Kressner 6
James Lyness 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
Philippe Toint 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
Naren Ramakrishnan 4
Uwe Naumann 4
Norman Schryer 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
Jorge Nocedal 4
David Kahaner 4
Ahmed Sameh 4
Joke Blom 4
Filippo Aluffi-Pentini 4
Michael Saunders 4
Carl De Boor 4
Paolo Bientinesi 4
Beresford Parlett 4
Michael Patterson 4
David Smith 4
Tamara Kolda 4
Richard Brent 4
Granville Sewell 3
Hatem Ltaief 3
Andrew Conn 3
Kenneth Hillstrom 3
Steven Benson 3
John Gunnels 3
Margaret Wright 3
Charles Gear 3
Silvano Martello 3
Richard Simard 3
Luís Vicente 3
Wolfgang Hörmann 3
Shaun Forth 3
Willy Govaerts 3
Norman Gibbs 3
Alan Genz 3
Tobin Driscoll 3
Jon Bentley 3
Sanjiva Weerawarana 3
David Kincaid 3
Yifan Hu 3
Thomas Aird 3
Ron Dembo 3
Francesco Romani 3
Alfred Morris 3
Armido DiDonato 3
Alan Jennings 3
Jonathan Hogg 3
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
Martin Berzins 3
David Shanno 3
Yozo Hida 3
Anton Zettl 3
Kenneth Neves 3
Richard Fateman 3
Stan Cabay 3
Anshul Gupta 3
Ian Barrodale 3
Ulrich Dieter 3
Alan Laub 3
William Symes 3
Giorgio Carpaneto 3
Francisco Igual 3
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
Bruno Lang 3
Niel Madsen 3
Toyat Cheung 3
Stavros Zenios 3
Giulio Giunta 3
Garth Wells 3
Masao Kodama 3
Kanghoh Phua 3
J Diaz 3
Robert Granat 3
Eric Grosse 3
Michael Berry 3
David Stoutemyer 3
Luisa D'amore 3
Frank Stenger 3
Phyllis Fox 3
Fayez Alhargan 3
J Smith 2
Catherine Houstis 2
James Willenbring 2
Mofreh Zaghloul 2
Stef Graillat 2
Zvi Drezner 2
Robert Skeel 2
Jian He 2
Lois McInnes 2
Sebastian Ferrando 2
Jean Utke 2
Michael Mascagni 2
Tapio Schneider 2
Arunachalam Ravindran 2
Roy Welsch 2
Kenneth Jackson 2
Malcolm Pike 2
Alexandru Nicolau 2
Wilfried Gansterer 2
Mark Gockenbach 2
Paul Bratley 2
Michael Jenkins 2
Frederick Fritsch 2
Scott Sarra 2
Karla Hoffman 2
Stephen Joe 2
Zlatko Drmač 2
Theodore Fessler 2
Stefan Larimore 2
Gil Shklarski 2
Thomas Patterson 2
C Wijers 2
G Poppe 2
François Rouet 2
Abdou Guermouche 2
Roger Pawlowski 2
Alex Pothen 2
William Payne 2
Paul Plassmann 2
Ioannis Demetriou 2
Włodzimierz Proskurowski 2
Charles Lawson 2
Elizabeth Eskow 2
Alan Karp 2
Pamela Zave 2
Michael McClellan 2
Virginia Klema 2
Ron Sacks-Davis 2
Lennart Johnsson 2
David Benson 2
Antoine Petitet 2
Kendall Stanley 2
George Corliss 2
Jörg Peters 2
M Weston 2
Patrick Amestoy 2
Barry Brown 2
David Jeffrey 2
Christopher Paige 2
L Stoltz 2
Charles Duris 2
P Culligan-Hensley 2
Charles Van Loan 2
Per Thomsen 2
Spencer Shellman 2
Dennis Snow 2
David Melgaard 2
Jorge Leis 2
David Spooner 2
Roger Abernathy 2
Jean Dumas 2
Ichitaro Yamazaki 2
Stanimire Tomov 2
Kevin Broughan 2
Harvey Greenberg 2
Klaus Schittkowski 2
Allan Macleod 2
Brigitte Verdonk 2
Philip Gill 2
John Roulier 2
Peter Dew 2
U Pape 2
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Nathan Bell 2
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Masha Sosonkina 2
Joseph Flaherty 2
Ann Catlin 2
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Hans Langtangen 2
J Yohe 2
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George Hall 2
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Aravind Joshi 1
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Yong Li 1
Floyd Spears 1
Germ´n Torres 1
L Nikolenko 1
José Herrero 1
Richard Kronmal 1
Pierluigi Amodio 1
Ricardo Takahashi 1
Assefaw Gebremedhin 1
Thanhtung Cao 1
Giuseppe Radicati 1
Karen Minser 1
Carl Wunsch 1
Stanimir Tomov 1
David Hoaglin 1
Mukkai Krishnamoorthy 1
Allen Tracht 1
Charles Hall 1
Ted Brown 1
Gregory Lantoine 1
Andrey Chernikov 1
D Boulton 1
E Della Torre 1
W Kinsner 1
Cass Miller 1
Krister Dackland 1
Ralph Byers 1
Harlan Crowder 1
John Cleary 1
John Respess 1
David Young 1
No Author 1
Jürgen Von Gudenberg 1
Petko Petkov 1
Pierre Alliez 1
Kyungjoo Kim 1
Daniel Langr 1
Valeria Mele 1
Jung Kim 1
Edvin Deadman 1
Eric Bavier 1
Mohammad Omidvar 1
Xin Yao 1
Steven Dalton 1
Lars Pesch 1
Pavel Tvrdík 1
Tomáš Dytrych 1
Robert Gower 1
Naren Ramakrishnan 1
Keith Grant 1
Giuseppe Gambolati 1
Robert Kirby 1
Jianlin Xia 1
Matthias Voigt 1
Claude Jeannerod 1
Pedro De Rezende 1
George Biros 1
Daniel Warner 1
Ilari Vallivaara 1
Diego Ruiz-Antolin 1
Juan Pérez 1
Andres Sarmiento-Romero 1
Germán Riaño 1
A Kinderman 1
Oliver Aberth 1
Jan Węglarz 1
L Fullerton 1
Bonita Saunders 1
Makoto Kizawa 1
Tetsuro Ito 1
Richard Ray 1
Yixun Shi 1
Yuxiao Hu 1
Benjamin Zorn 1
CheRung Lee 1
Raúl Valdés-Pérez 1
F Bader 1
Avi Ziv 1
B Balcom 1
Takeshi Kiyono 1
S González-Pinto 1
Mary Kochenberger 1
Andy Froncioni 1
Leonidas Linardakis 1
Lucian Duta 1
Fred Ives 1
D Wasch 1
Michael Kolonko 1
N Munksgaard 1
Matthias Heinkenschloss 1
Michael Martin 1
Juan Flores 1
Jan Verschelde 1
Gustaf Söderlind 1
David Bindel 1
Manolis Lourakis 1
David Smith 1
Daniela Serafino 1
Peter Molenaar 1
Rencang Li 1
Jon Whittle 1
John Bownds 1
Robert and Thomas 1
Paul Kelly 1
Guillaume Quintin 1
William Davidon 1
William Spotz 1
Mohamed Tadjouddine 1
Qun Ma 1
Stuart Smith 1
Jianfeng Lu 1
Stefanode Marchi 1
John Drake 1
John Tomlin 1
Mark Fahey 1
Stephen Billups 1
Valeria Simoncini 1
Robert Fairlie 1
G Walster 1
Erika Fuentes 1
Alan Taylor 1
Rayan Saab 1
Trong Wu 1
J Bus 1
Dror Irony 1
Makoto Matsumoto 1
John Garavelli 1

Affiliation Paper Counts
National Institute for Research and Development in Informatics 1
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
Davidson College 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
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
University of Florence 1
The University of Warwick 1
Aalborg University 1
Meiji University 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
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
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
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Zuse Institute Berlin 2
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University of Cyprus 2
Yahoo Inc. 2
Ariel University Center of Samaria 2
University of the West of Scotland 2
McMaster University, Faculty of Engineering 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
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Pontifical Catholic University of Rio de Janeiro 3
Harvard School of Public Health 3
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University of Iceland 3
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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
Facultes Universitaires Notre-Dame de la Paix 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
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)
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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
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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
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1979
Volume 5 Issue 4, Dec. 1979
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1978
Volume 4 Issue 4, December 1978
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1977
Volume 3 Issue 4, Dec. 1977
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1976
Volume 2 Issue 4, Dec. 1976
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1975
Volume 1 Issue 4, Dec. 1975
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