• CLAWPACK

  • Referenced in 111 articles [sw01069]
  • actively working on extensions to parabolic equations as well. The “wave propagation” algorithms implemented...
  • AUTO

  • Referenced in 739 articles [sw01059]
  • systems of ordinary differential equations of the form ... certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT ... applicable to rather large systems of differential equations...
  • RKC

  • Referenced in 95 articles [sw00808]
  • Runge-Kutta-Chebychev algorithm for parabolic partial differential equations is discussed, implemented and tested. This...
  • ROS3P

  • Referenced in 40 articles [sw00813]
  • which is third-order accurate for nonlinear parabolic problems. Since Rosenbrock methods suffer from order ... when they are applied to partial differential equations, additional order conditions have to be satisfied ... Hairer and G. Wanner [Solving ordinary differential equations. II: Stiff and differential-algebraic problems ... special problem classes including linear parabolic equations. His solver RODASP, however, drops down to order...
  • AUTO-86

  • Referenced in 260 articles [sw04220]
  • Rnand of systems of ordinary differential equations of the formu ... certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT ... applicable to rather large systems of differential equations...
  • Fluid flow phenomena

  • Referenced in 54 articles [sw15481]
  • which allow to handle the Navier-Stokes equations and to understand the complex physics related ... used to solve parabolic and elliptic partial differential equations in Cartesian and cylindrical coordinates...
  • CADSOL

  • Referenced in 33 articles [sw07970]
  • three- dimensional elliptic and parabolic partial differential equations with arbitrary nonlinear boundary conditions on arbitrary...
  • M3RK

  • Referenced in 10 articles [sw00533]
  • explicit time integrator for semidiscrete parabolic equations...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization ... problems solved includes systems of parabolic, elliptic, and hyperbolic equations; for the latter...
  • FIDISOL

  • Referenced in 12 articles [sw00288]
  • elliptic and parabolic differential equations subject to arbitrary nonlinear boundary conditions on a rectangular domain...
  • PDDE

  • Referenced in 4 articles [sw07608]
  • numerical algorithms for solving the evolutionary equations (parabolic and hyperbolic) with the effect of heredity ... weights for the one-dimensional heat conduction equation with delay of general form, analog ... method of variable directions for the equation of parabolic type with time delay ... scheme with weights for the equation of hyperbolic type with delay. For the one-dimensional...
  • Hopscotch

  • Referenced in 42 articles [sw00413]
  • Hopscotch: a fast second order partial differential equations solver. An idea of Gordon ... process is then developed and applied to parabolic and elliptic problems, both linear...
  • PDECHEB

  • Referenced in 15 articles [sw12905]
  • Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. PDECHEB is a FORTRAN ... wide range of time-dependent partial differential equations in one space variable. The software implements ... solution of parabolic-elliptic PDEs with coupled differential algebraic equations. Examples are provided to illustrate...
  • AUTO2000

  • Referenced in 49 articles [sw04643]
  • systems of ordinary differential equations of the form ... certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT ... applicable to rather large systems of differential equations...
  • SERK2

  • Referenced in 7 articles [sw10426]
  • large and complicated systems of nonlinear equations, and they are especially suited for discretizations using ... three dimensional parabolic partial differential equations. In J. Martín-Vaquero and B. Janssen [ Comput. Phys...
  • SERK2v3

  • Referenced in 4 articles [sw14473]
  • mildly stiff nonlinear partial differential equations. Multidimensional nonlinear parabolic partial differential equations (PDEs) appear ... against the use of explicit ordinary differential equations (ODE) solvers for the integration of stiff ... method of lines (MOL) discretizations of parabolic multi-dimensional PDEs. Additionally, the stability domain...
  • HyPar

  • Referenced in 2 articles [sw12619]
  • HyPar - Hyperbolic-Parabolic Partial Differential Equations Solver ... finite-difference algorithm to solve hyperbolic-parabolic equations (with source term). The hyperbolic terms ... order WENO, 5th order CRWENO). The parabolic terms are discretized either using a conservative ... advection-diffusion-reaction, Euler and Navier-Stokes equations, Fokker-Planck equations for power systems...
  • KARDOS

  • Referenced in 8 articles [sw06554]
  • systems of non-linear mixed parabolic-elliptic partial differential equations by means of adaptive space...
  • FDEM

  • Referenced in 5 articles [sw10383]
  • systems of nonlinear elliptic and parabolic partial differential equations PDEs. An algorithm has been developed...
  • BACOLI

  • Referenced in 3 articles [sw13810]
  • Numerical Solution of One Dimensional Parabolic Partial Differential Equations. BACOLI is based on the earlier ... error controlled numerical solution of 1D Parabolic PDEs. Both BACOL and BACOLI implement ... conditions represents a system of differential-algebraic equations (DAEs) that are solved using the DASSL...