• AUTO

  • Referenced in 958 articles [sw01059]
  • continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... limited bifurcation analysis of algebraic systems of the form ... systems of ordinary differential equations of the form ... therefore it is applicable to rather large systems of differential equations...
  • bvp4c

  • Referenced in 307 articles [sw06178]
  • odefun,bcfun,solinit) integrates a system of ordinary differential equations of the form...
  • AUTO-86

  • Referenced in 279 articles [sw04220]
  • continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... limited bifurcation analysis of algebraic systems of the formf ... Rnand of systems of ordinary differential equations of the formu ... therefore it is applicable to rather large systems of differential equations...
  • ODEPACK

  • Referenced in 206 articles [sw08341]
  • initial value problem for ordinary differential equation systems. It consists of nine solvers, namely...
  • Maxima

  • Referenced in 171 articles [sw00560]
  • system for the manipulation of symbolic and numerical expressions, including differentiation ... integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets...
  • VODE

  • Referenced in 214 articles [sw01005]
  • stiff and non-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 ... version of the backward differentiation formula methods for stiff systems. They find that the first...
  • Chebfun

  • Referenced in 423 articles [sw05897]
  • collection of algorithms and a software system in object-oriented MATLAB that extends familiar powerful ... solves ordinary differential equations. The mathematical basis of the system combines tools of Chebyshev expansions...
  • Expokit

  • Referenced in 200 articles [sw00258]
  • solution of a system of linear ordinary differential equations with constant inhomogeneity. The backbone...
  • GEAR

  • Referenced in 75 articles [sw09631]
  • GEAR: Ordinary differential equation systems solver...
  • PITCON

  • Referenced in 260 articles [sw04244]
  • Parametrized systems of equations. Continuation methods, in particular an ordinary differential equations approach, the code...
  • DIMSYM

  • Referenced in 74 articles [sw04279]
  • user specifies a system of ordinary and/or partial differential equations and the type of symmetry ... Dimsym then produces the corresponding determining equations (a system of linear partial differential equations...
  • LSODE

  • Referenced in 135 articles [sw04374]
  • Livermore Solver for Ordinary Differential Equations) solves stiff and nonstiff systems of the form dy/dt...
  • CVODE

  • Referenced in 65 articles [sw04947]
  • solver for stiff and nonstiff ordinary differential equation (ODE) systems (initial value problem) given...
  • GeM

  • Referenced in 100 articles [sw00332]
  • conservation law analysis of systems of partial and ordinary differential equations (DE). The package contains ... conservation law analysis of any given DE system occupies several lines of Maple code...
  • AUTO2000

  • Referenced in 52 articles [sw04643]
  • continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... limited bifurcation analysis of algebraic systems of the form ... systems of ordinary differential equations of the form ... therefore it is applicable to rather large systems of differential equations...
  • deSolve

  • Referenced in 68 articles [sw04499]
  • ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential ... value problems of a system of first-order ordinary differential equations (ODE), of partial differential...
  • CRACK

  • Referenced in 58 articles [sw07754]
  • algorithm designed to length-reduce differential equations is presented. The program CRACK is a computer ... solutions of algebraic systems, ordinary, or partial differential equations with at most polynomial nonlinearity...
  • Algorithm 919

  • Referenced in 71 articles [sw07350]
  • solution of a large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This...
  • MEBDF

  • Referenced in 88 articles [sw00567]
  • large sparse systems of stiff initial value ordinary differential equations and differential-algebraic equations...
  • DSTool

  • Referenced in 104 articles [sw06719]
  • find fixed points or bifurcation points. Dynamical systems arise in many disciplins of physics, biology ... ordinary differential equations. The methods employed by the theory of dynamical systems allow to compute...