• UG

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

  • Referenced in 96 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...
  • DDE-BIFTOOL

  • Referenced in 189 articles [sw02396]
  • Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed...
  • REDUCE

  • Referenced in 674 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 167 articles [sw01005]
  • numerical solution of (stiff and non-stiff) 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 181 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 differential-algebraic equations. It is easily...
  • Chebfun

  • Referenced in 174 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 122 articles [sw06683]
  • numerical irreducible decomposition. Treats positive-dimensional solutions by computing witness sets. Has automatic differentiation which...
  • DASPK 3.0

  • Referenced in 33 articles [sw04288]
  • sensitivity analysis of large-scale differential algebraic equations. They outline the underlying algorithms ... present the results of some numerical experiments on differential algebraic equations arising from the discretisation...
  • INTOPT_90

  • Referenced in 275 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 non-differentiable problems (17 pages) studies function expressions containing...
  • 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]
  • 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...
  • CWRESX

  • Referenced in 35 articles [sw12904]
  • 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...
  • 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 time-dependent and steady-state...
  • mpmath

  • Referenced in 12 articles [sw05802]
  • utilities for arbitrary-precision numerical differentiation, integration, root-finding, and interval arithmetic. It supports unlimited...