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Many important partial differential equation problems in homogeneous media, such as those of acoustic or electromagnetic wave propagation, can be represented in the form of integral equations on the boundary of the domain of interest. In order to...
On the Error of Computing ab+cd using Cornea, Harrison and Tang's Method
Article No.: 7
In their book, Scientific Computing on the Itanium, Cornea et al.  introduce an accurate algorithm for evaluating expressions of the form ab+cd in binary floating-point arithmetic, assuming an FMA instruction is...
Solving Basis Pursuit: Heuristic Optimality Check and Solver Comparison
Dirk A. Lorenz, Marc E. Pfetsch, Andreas M. Tillmann
Article No.: 8
The problem of finding a minimum ℓ1-norm solution to an underdetermined linear system is an important problem in compressed sensing, where it is also known as basis pursuit. We propose a heuristic optimality check as a...
DAESA—A Matlab Tool for Structural Analysis of Differential-Algebraic Equations: Theory
John D. Pryce, Nedialko S. Nedialkov, Guangning Tan
Article No.: 9
FSAIPACK: A Software Package for High-Performance Factored Sparse Approximate Inverse Preconditioning
Carlo Janna, Massimiliano Ferronato, Flavio Sartoretto, Giuseppe Gambolati
Article No.: 10
The Factorized Sparse Approximate Inverse (FSAI) is an efficient technique for preconditioning parallel solvers of symmetric positive definite sparse linear systems. The key factor controlling FSAI efficiency is the identification of an...
TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
Article No.: 11
TetGen is a C++ program for generating good quality tetrahedral meshes aimed to support numerical methods and scientific computing. The problem of quality tetrahedral mesh generation is challenged by many theoretical and practical...
Algorithm 948: DAESA—A Matlab Tool for Structural Analysis of Differential-Algebraic Equations: Software
Nedialko S. Nedialkov, John D. Pryce, Guangning Tan
Article No.: 12
DAESA, Differential-Algebraic Equations Structural Analyzer, is a Matlab tool for structural analysis of differential-algebraic equations (DAEs). It allows convenient translation of a DAE system into Matlab and provides a small set of easy-to-use...