• IRKC

  • Referenced in 21 articles [sw00452]
  • intended for the time integration of systems of partial differential equations (PDEs) of diffusion-reaction...
  • CRACK

  • Referenced in 58 articles [sw07754]
  • large bilinear algebraic systems is presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with ... algorithm designed to length-reduce differential equations is presented. The program CRACK is a computer ... obtaining of solutions of algebraic systems, ordinary, or partial differential equations with at most polynomial...
  • BEMECH

  • Referenced in 119 articles [sw10847]
  • partial differential equations that describe elasto-plasticity; b) the formulation of boundary integral equations ... methods for evaluating singularities and solving nonlinear systems of equations; e) the description of computer...
  • Jets

  • Referenced in 30 articles [sw23621]
  • many other invariants of systems of partial differential equations. Jets implements the algorithms described ... Marvan, Sufficient set of integrability conditions of an orthonomic system. Foundations of Computational Mathematics...
  • Kranc

  • Referenced in 14 articles [sw00494]
  • handling very complicated systems of partial differential equations, but through integration into the Cactus computational...
  • MEBDF

  • Referenced in 88 articles [sw00567]
  • integration of large sparse systems of stiff initial value ordinary differential equations and differential-algebraic ... numerical solution of time dependent partial differential equations, particularly in two or more space dimensions...
  • PurityFiltration

  • Referenced in 10 articles [sw07656]
  • then be integrated in cascade by successively solving inhomogeneous linear functional systems defined ... equidimensional homogeneous linear systems of increasing dimension. This equivalent linear system generally simplifies the computation ... underdetermined/overdetermined linear systems of partial differential equations can be explicitly integrated by the Maple package ... standard PDE solvers of computer algebra systems such as Maple...
  • MOVCOL

  • Referenced in 33 articles [sw07938]
  • finite difference method. The resulting ODE system is integrated in time with the DAE solver ... collocation method for solving time dependent partial differential equations, Appl. Numer. Math...
  • TIDES

  • Referenced in 41 articles [sw06664]
  • Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS. We present a new free ... when needed) the solution of an ODE system. The software has been done ... solution of the differential system, but also the partial derivatives, up to any order...
  • LIMbook

  • Referenced in 59 articles [sw14520]
  • large set of differential systems named conservative problems, particularly Hamiltonian systems. Assuming only basic knowledge ... begins with an introduction to the line integral methods. It describes numerous Hamiltonian problems encountered ... results concerning the main instance of line integral methods: the energy-conserving Runge-Kutta methods ... handle the numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions...
  • DifferentialEquations.jl

  • Referenced in 58 articles [sw23910]
  • differential equations, jump diffusions, and (stochastic) partial differential equations. Through extensive use of multiple dispatch ... differential equations while not sacrificing features or performance. Many modern features are integrated into ... such as allowing arbitrary user-defined number systems for high-precision and arithmetic with physical...
  • CONSLAW

  • Referenced in 7 articles [sw00155]
  • laws for polynomial partial differential equations automatically. Furthermore, some new integrable systems can be filtered...
  • COFFEE

  • Referenced in 22 articles [sw20274]
  • Firedrake, an automated system for the solution of partial differential equations using the finite element ... fundamental mathematical property of finite element integration kernels, namely linearity of operators in test...
  • HYPERS

  • Referenced in 6 articles [sw06392]
  • explicit time integration of multiscale numerical systems based on partial differential equations and particle techniques...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • solving both steady and unsteady partial differential equations (PDEs) in two-space variables. The software ... modules for mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity ... time. The class of problems solved includes systems of parabolic, elliptic, and hyperbolic equations...
  • d03pcf

  • Referenced in 5 articles [sw30985]
  • d03pcf/d03pca integrates a system of linear or nonlinear parabolic partial differential equations (PDEs...
  • PDECHEB

  • Referenced in 15 articles [sw12905]
  • Chebyshev polynomial software for elliptic-parabolic systems of PDEs. PDECHEB is a FORTRAN 77 software ... wide range of time-dependent partial differential equations in one space variable. The software implements ... used in conjunction with a general integrator for initial value problems to provide a powerful...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions ... compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively ... system. To solve this stiff, nonlinear DAE system, a robust and efficient time-integrator must...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions ... compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively ... system. To solve this stiff, nonlinear DAE system, a robust and efficient time-integrator must...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions ... compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively ... system. To solve this stiff, nonlinear DAE system, a robust and efficient time-integrator must...