• UG

  • Referenced in 190 articles [sw04596]
  • flexible software toolbox for solving partial differential equations: Over the past two decades, some very ... numerical solution of partial differential equations have been developed. We are especially interested in adaptive...
  • BVPh

  • Referenced in 181 articles [sw06575]
  • Homotopy analysis method in nonlinear differential equations. ”Homotopy Analysis Method in Nonlinear Differential Equations” presents...
  • INTOPT_90

  • Referenced in 304 articles [sw04705]
  • introduces interval arithmetic, solving linear interval equations, automatic differentiation and code list generation, interval Newton ... generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some ... provides techniques to transform linear interval equations into ones which might have tighter solution intervals ... Nonlinear equations and optimization. Preprint.). The chapter about non-differentiable problems (17 pages) studies function...
  • AUTO-07P

  • Referenced in 225 articles [sw04961]
  • CONTINUATION AND BIFURCATION PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS: AUTO-07p is the successor to both...
  • PLTMG

  • Referenced in 215 articles [sw00717]
  • package for solving elliptic partial differential equations in general regions of the plane...
  • Octave

  • Referenced in 288 articles [sw00646]
  • polynomials, and integrating ordinary differential and differential-algebraic equations. It is easily extensible and customizable...
  • VODE

  • Referenced in 194 articles [sw01005]
  • stiff) systems of ordinary differential equations. The new package can be considered ... used in the solution of the implicit equations by quasi Newton methods. In this paper ... full variable coefficient version of the backward differentiation formula methods for stiff systems. They find...
  • ODEPACK

  • Referenced in 193 articles [sw08341]
  • initial value problem for ordinary differential equation systems. It consists of nine solvers, namely...
  • gfun

  • Referenced in 133 articles [sw00344]
  • generating functions defined by linear differential equations with polynomial coefficients, there is a procedure ... compute the differential equation satisfied by their product. Each command in the gfun package...
  • ELLPACK

  • Referenced in 131 articles [sw01208]
  • problem-solving environment for elliptic partial differential equations ELLPACK is a versatile, very high-level ... language for solving elliptic partial differential equations. Solving elliptic problems with ELLPACK typically involves...
  • Expokit

  • Referenced in 179 articles [sw00258]
  • system of linear ordinary differential equations with constant inhomogeneity. The backbone of the sparse routines...
  • Dynamics

  • Referenced in 173 articles [sw09100]
  • program provides about 30 maps and differential equations to choose from (e.g., the logistic...
  • dde23

  • Referenced in 162 articles [sw10139]
  • dde23. Solve delay differential equations (DDEs) with constant delays...
  • SYMMGRP

  • Referenced in 118 articles [sw01066]
  • symmetry analysis of partial differential equations symmgrp.max: A Macsyma program for the calculation ... point symmetries of large systems of differential equations (2006). The package symmgrp.max, which...
  • DOLFIN

  • Referenced in 165 articles [sw04313]
  • environment for models based on partial differential equations and implements core parts of the functionality...
  • CMPGRD

  • Referenced in 100 articles [sw24156]
  • meshes for the solution of partial differential equations. It is shown how to generate curvilinear ... numerical solution of partial differential equations on them. First, an overview of grid generation methods ... solving elliptic and time-dependent partial differential equations on composite meshes are shown. Applications...
  • Maxima

  • Referenced in 154 articles [sw00560]
  • integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets...
  • DUNE

  • Referenced in 154 articles [sw01466]
  • modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports...
  • libMesh

  • Referenced in 142 articles [sw06657]
  • numerical simulation of partial differential equations using arbitrary unstructured discretizations on serial and parallel platforms...