• UG

  • Referenced in 178 articles [sw04596]
  • very efficient techniques for the numerical solution of partial differential equations have been developed...
  • Maxima

  • Referenced in 109 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 226 articles [sw02396]
  • Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed...
  • CMPGRD

  • Referenced in 84 articles [sw24156]
  • curvilinear overlapping grids and the numerical solution of partial differential equations on them. First ... solving elliptic and time-dependent partial differential equations on composite meshes are shown. Applications ... compressible Navier-Stokes equations are discussed. Numerical accuracy, efficiency and the numerical solution are analyzed...
  • REDUCE

  • Referenced in 690 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 89 articles [sw06657]
  • provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations...
  • MEBDF

  • Referenced in 67 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 27 articles [sw03199]
  • ADMAT/ADMIT TB. Furthermore, five types of numerical differentiation methods are included in NLPLIB TB. NLPLIB...
  • VODE

  • Referenced in 173 articles [sw01005]
  • numerical solution of (stiff and non-stiff) systems of ordinary differential equations. The new package...
  • FracPECE

  • Referenced in 30 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 first-order differential equation. The algorithm for the numerical solution of these equations...
  • ROWMAP

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

  • Referenced in 210 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 210 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...
  • mpmath

  • Referenced in 20 articles [sw05802]
  • utilities for arbitrary-precision numerical differentiation, integration, root-finding, and interval arithmetic. It supports unlimited...
  • Bertini

  • Referenced in 147 articles [sw06683]
  • numerical irreducible decomposition. Treats positive-dimensional solutions by computing witness sets. Has automatic differentiation which...
  • DUNE

  • Referenced in 97 articles [sw01466]
  • Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid...
  • INTOPT_90

  • Referenced in 286 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...
  • DASPK 3.0

  • Referenced in 34 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...
  • Sinc-Pack

  • Referenced in 40 articles [sw13600]
  • application to the numerical solution of partial differential equations. It contains five chapters...
  • MOVCOL

  • Referenced in 30 articles [sw07938]
  • solving time dependent partial differential equations, Appl. Numer. Math...