• AUTO

  • Referenced in 841 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 ... applicable to rather large systems of differential equations...
  • AUTO-86

  • Referenced in 271 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 ... applicable to rather large systems of differential equations...
  • XPPAUT

  • Referenced in 375 articles [sw05543]
  • analysis and simulation of dynamic systems. It includes AUTO, a bifurcation package, as well ... dozens of other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations...
  • ode23

  • Referenced in 261 articles [sw06600]
  • MATLAB ODE Suite: ode23: Solve nonstiff differential equations; low order method. [T,Y] = solver(odefun ... tspan = [t0 tf] integrates the system of differential equations y′ = f(t,y) from time...
  • ODEPACK

  • Referenced in 187 articles [sw08341]
  • initial value problem for ordinary differential equation systems. It consists of nine solvers, namely...
  • bvp4c

  • Referenced in 222 articles [sw06178]
  • odefun,bcfun,solinit) integrates a system of ordinary differential equations of the form...
  • Maxima

  • Referenced in 147 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...
  • MATCONT

  • Referenced in 340 articles [sw00551]
  • bifurcation study of dynamical systems. The study of differential equations requires good and powerful mathematical ... have their own way of specifying the system or are written in a relatively...
  • Chebfun

  • Referenced in 310 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 ... transform, barycentric interpolation, recursive zerofinding, and automatic differentiation...
  • VODE

  • Referenced in 191 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...
  • 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 ... only under Macsyma, the commercial computer algebra system. The 1991 version of symmgrp.max (with manual...
  • GEAR

  • Referenced in 74 articles [sw09631]
  • GEAR: Ordinary differential equation systems solver...
  • INTLAB

  • Referenced in 409 articles [sw04004]
  • systems of nonlinear equations (including unconstrained optimization) roots of univariate and multivariate nonlinear equations (simple ... automatic differentiation (forward mode, vectorized computations, fast) Gradients (to solve systems of nonlinear equations) Hessians...
  • DIMSYM

  • Referenced in 72 articles [sw04279]
  • user specifies a system of ordinary and/or partial differential equations and the type of symmetry ... corresponding determining equations (a system of linear partial differential equations for the generator...
  • PITCON

  • Referenced in 258 articles [sw04244]
  • Parametrized systems of equations. Continuation methods, in particular an ordinary differential equations approach, the code...
  • Expokit

  • Referenced in 171 articles [sw00258]
  • solution of a system of linear ordinary differential equations with constant inhomogeneity. The backbone...
  • SYM

  • Referenced in 58 articles [sw07756]
  • computing the symmetries of systems of differential equations using Mathematica is presented. Armed with adaptive ... package is able to handle systems of differential equations of arbitrary order and number...
  • SYMMGRP.MAX

  • Referenced in 71 articles [sw10756]
  • point symmetries of large systems of differential equations. Solution method: The construction of the symmetry...
  • AUTO2000

  • Referenced in 49 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 ... applicable to rather large systems of differential equations...
  • LSODE

  • Referenced in 123 articles [sw04374]
  • Livermore Solver for Ordinary Differential Equations) solves stiff and nonstiff systems of the form dy/dt ... corrector) in the nonstiff case, and Backward Differentiation Formula (BDF) methods (the Gear methods...