
UG
 Referenced in 170 articles
[sw04596]
 very efficient techniques for the numerical solution of partial differential equations have been developed...

Maxima
 Referenced in 93 articles
[sw00560]
 manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential ... matrices, and tensors. Maxima yields high precision numeric results by using exact fractions, arbitrary precision...

DDEBIFTOOL
 Referenced in 186 articles
[sw02396]
 Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed...

REDUCE
 Referenced in 663 articles
[sw00789]
 functions and extending program syntax; analytic differentiation and integration; factorization of polynomials; facilities ... variety of formats; facilities for generating optimized numerical programs from symbolic input; calculations with...

MEBDF
 Referenced in 63 articles
[sw00567]
 numerical integration of large sparse systems of stiff initial value ordinary differential equations and differential ... algorithm is in the numerical solution of time dependent partial differential equations, particularly...

VODE
 Referenced in 166 articles
[sw01005]
 numerical solution of (stiff and nonstiff) systems of ordinary differential equations. The new package...

libMesh
 Referenced in 69 articles
[sw06657]
 provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations...

ROWMAP
 Referenced in 40 articles
[sw09627]
 independently of the dimension of the differential equations. Numerical tests and comparisons with the multistep...

NLPLIB
 Referenced in 24 articles
[sw03199]
 ADMAT/ADMIT TB. Furthermore, five types of numerical differentiation methods are included in NLPLIB TB. NLPLIB...

Octave
 Referenced in 177 articles
[sw00646]
 Octave has extensive tools for solving common numerical linear algebra problems, finding the roots ... ordinary functions, manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations. It is easily...

Chebfun
 Referenced in 171 articles
[sw05897]
 MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous or piecewise ... decomposition and the SVD, and solves ordinary differential equations. The mathematical basis of the system...

INTOPT_90
 Referenced in 274 articles
[sw04705]
 generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some ... pages) features a rather practical and numerical approach in a branch and bound pattern touching ... optimization. Preprint.). The chapter about nondifferentiable problems (17 pages) studies function expressions containing...

Bertini
 Referenced in 118 articles
[sw06683]
 numerical irreducible decomposition. Treats positivedimensional solutions by computing witness sets. Has automatic differentiation which...

DASPK 3.0
 Referenced in 32 articles
[sw04288]
 sensitivity analysis of largescale differential algebraic equations. They outline the underlying algorithms ... present the results of some numerical experiments on differential algebraic equations arising from the discretisation...

DUNE
 Referenced in 76 articles
[sw01466]
 Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid...

Algorithm 731
 Referenced in 35 articles
[sw12847]
 time‐dependent partial differential equations. In the last decade, several numerical techniques have been developed ... CWRESX, which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing ... Brenan et al. 1989; Petzold 1983]. Some numerical examples are shown to illustrate the simple...

CWRESU
 Referenced in 35 articles
[sw12903]
 timedependent partial differential equations. In the last decade, several numerical techniques have been developed ... CWRESX, which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing ... Brenan et al. 1989; Petzold 1983]. Some numerical examples are shown to illustrate the simple...

CWRESX
 Referenced in 35 articles
[sw12904]
 timedependent partial differential equations. In the last decade, several numerical techniques have been developed ... CWRESX, which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing ... Brenan et al. 1989; Petzold 1983]. Some numerical examples are shown to illustrate the simple...

PDE2D
 Referenced in 36 articles
[sw04270]
 numerical solution of ordinary and partial differential equations. The Second Edition of this popular text ... variety of problems, including ordinary and partial differential equations and initial value and boundary value ... carefully developed exercises and numerical examples, can be easilymastered by readers.par The final chapter ... used to solve difficult partial differential equation problems, including nonlinear timedependent and steadystate...

mpmath
 Referenced in 12 articles
[sw05802]
 utilities for arbitraryprecision numerical differentiation, integration, rootfinding, and interval arithmetic. It supports unlimited...