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FEMSTER: An object-oriented class library of high-order discrete differential forms
Paul Castillo, Robert Rieben, Daniel White
FEMSTER is a modular finite element class library for solving three-dimensional problems arising in electromagnetism. The library was designed using a modern geometrical approach based on differential forms (or p-forms) and can be used for...
A differentiation-enabled Fortran 95 compiler
Uwe Naumann, Jan Riehme
The availability of first derivatives of vector functions is crucial for the robustness and efficiency of a large number of numerical algorithms. An upcoming new version of the differentiation-enabled NAGWare Fortran 95 compiler is described that...
DFTI---a new interface for Fast Fourier Transform libraries
Ping Tak Peter Tang
The Fast Fourier Transform (FFT) algorithm that calculates the Discrete Fourier Transform (DFT) is one of the major breakthroughs in scientific computing and is now an indispensable tool in a vast number of fields. Unfortunately, software...
PDE.Mart: A network-based problem-solving environment for PDEs
PDE.Mart is a network-based problem-solving environment (PSE) for solving partial differential equations (PDEs) in numerical simulations and academic research, as well as in educational settings. The client-server protocol consists of a...
MATSLISE: A MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations
V. Ledoux, M. Van Daele, G. Vanden Berghe
MATSLISE is a graphical MATLAB software package for the interactive numerical study of regular Sturm-Liouville problems, one-dimensional Schrödinger equations, and radial Schrödinger equations with a distorted Coulomb potential. It allows...
Algorithm 846: MixedVol: a software package for mixed-volume computation
Tangan Gao, T. Y. Li, Mengnien Wu
MixedVol is a C++ software package that computes the mixed volume of n finite subsets of ℤn or the support of a system of n polynomials in n variables. The software produces the mixed volume as...
Algorithm 847: Spinterp: piecewise multilinear hierarchical sparse grid interpolation in MATLAB
Andreas Klimke, Barbara Wohlmuth
To recover or approximate smooth multivariate functions, sparse grids are superior to full grids due to a significant reduction of the required support nodes. The order of the convergence rate in the maximum norm is preserved up to a logarithmic...
Algorithm 848: A recursive fixed-point algorithm for the infinity-norm case
Spencer Shellman, K. Sikorski
We present the PFix algorithm for approximating a fixed point of a function f that has arbitrary dimensionality, is defined on a rectangular domain, and is Lipschitz continuous with respect to the infinity norm with constant 1. PFix has applications...
Algorithm 849: A concise sparse Cholesky factorization package
Timothy A. Davis
The LDL software package is a set of short, concise routines for factorizing symmetric positive-definite sparse matrices, with some applicability to symmetric indefinite matrices. Its primary purpose is to illustrate much of the basic theory of...