
UG
 Referenced in 179 articles
[sw04596]
 very efficient techniques for the numerical solution of partial differential equations have been developed...

Maxima
 Referenced in 111 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 231 articles
[sw02396]
 Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed...

CMPGRD
 Referenced in 86 articles
[sw24156]
 curvilinear overlapping grids and the numerical solution of partial differential equations on them. First ... solving elliptic and timedependent partial differential equations on composite meshes are shown. Applications ... compressible NavierStokes equations are discussed. Numerical accuracy, efficiency and the numerical solution are analyzed...

REDUCE
 Referenced in 698 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...

libMesh
 Referenced in 93 articles
[sw06657]
 provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations...

FracPECE
 Referenced in 34 articles
[sw24209]
 FracPECE subroutine for the numerical solution of differential equations of fractional order. We present ... discuss an algorithm for the numerical solution of nonlinear differential equations of fractional ... with a firstorder differential equation. The algorithm for the numerical solution of these equations...

MEBDF
 Referenced in 71 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...

NLPLIB
 Referenced in 28 articles
[sw03199]
 ADMAT/ADMIT TB. Furthermore, five types of numerical differentiation methods are included in NLPLIB TB. NLPLIB...

VODE
 Referenced in 177 articles
[sw01005]
 numerical solution of (stiff and nonstiff) systems of ordinary differential equations. The new package...

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

Octave
 Referenced in 219 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 230 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...

Bertini
 Referenced in 160 articles
[sw06683]
 numerical irreducible decomposition. Treats positivedimensional solutions by computing witness sets. Has automatic differentiation which...

mpmath
 Referenced in 21 articles
[sw05802]
 utilities for arbitraryprecision numerical differentiation, integration, rootfinding, and interval arithmetic. It supports unlimited...

FDL3DI
 Referenced in 36 articles
[sw24948]
 point interpolationdifferentiation strategy. For numerical stability, up to tenthorder filtering schemes are developed ... spectral properties of the differentiation and filtering schemes are examined and guidelines are provided...

DUNE
 Referenced in 102 articles
[sw01466]
 Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid...

INTOPT_90
 Referenced in 292 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...

SincPack
 Referenced in 45 articles
[sw13600]
 application to the numerical solution of partial differential equations. It contains five chapters...

Taylor
 Referenced in 59 articles
[sw10816]
 method for the numerical integration of initial value problems of ordinary differential equations (ODEs ... computer program that outputs a specific numerical integrator for a given set of ODEs...