
UG
 Referenced in 165 articles
[sw04596]
 very efficient techniques for the numerical solution of partial differential equations have been developed...

Maxima
 Referenced in 87 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 176 articles
[sw02396]
 Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed...

REDUCE
 Referenced in 632 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 62 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...

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

VODE
 Referenced in 162 articles
[sw01005]
 numerical solution of (stiff and nonstiff) systems of ordinary differential equations. The new package...

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

libMesh
 Referenced in 54 articles
[sw06657]
 provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations...

Octave
 Referenced in 154 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...

INTOPT_90
 Referenced in 272 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...

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...

Chebfun
 Referenced in 151 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 101 articles
[sw06683]
 numerical irreducible decomposition. Treats positivedimensional solutions by computing witness sets. Has automatic differentiation which...

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...

MOVCOL
 Referenced in 26 articles
[sw07938]
 solving time dependent partial differential equations, Appl. Numer. Math...

PDE2D
 Referenced in 35 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...

Taylor
 Referenced in 39 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...