
CLAWPACK
 Referenced in 116 articles
[sw01069]
 actively working on extensions to parabolic equations as well. The “wave propagation” algorithms implemented...

AUTO
 Referenced in 762 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 101 articles
[sw00808]
 RungeKuttaChebychev algorithm for parabolic partial differential equations is discussed, implemented and tested. This...

ROS3P
 Referenced in 40 articles
[sw00813]
 which is thirdorder 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 differentialalgebraic problems ... special problem classes including linear parabolic equations. His solver RODASP, however, drops down to order...

AUTO86
 Referenced in 267 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 60 articles
[sw15481]
 which allow to handle the NavierStokes 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 onedimensional 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 onedimensional...

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 ellipticparabolic systems of PDEs. PDECHEB is a FORTRAN ... wide range of timedependent partial differential equations in one space variable. The software implements ... solution of parabolicelliptic PDEs with coupled differential algebraic equations. Examples are provided to illustrate...

SERK2
 Referenced in 8 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. MartínVaquero and B. Janssen [ Comput. Phys...

SERK2v3
 Referenced in 5 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 multidimensional PDEs. Additionally, the stability domain...

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...

HyPar
 Referenced in 2 articles
[sw12619]
 HyPar  HyperbolicParabolic Partial Differential Equations Solver ... finitedifference algorithm to solve hyperbolicparabolic equations (with source term). The hyperbolic terms ... order WENO, 5th order CRWENO). The parabolic terms are discretized either using a conservative ... advectiondiffusionreaction, Euler and NavierStokes equations, FokkerPlanck equations for power systems...

BACOLI
 Referenced in 5 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 differentialalgebraic equations (DAEs) that are solved using the DASSL...

KARDOS
 Referenced in 8 articles
[sw06554]
 systems of nonlinear mixed parabolicelliptic partial differential equations by means of adaptive space...

FDEM
 Referenced in 6 articles
[sw10383]
 systems of nonlinear elliptic and parabolic partial differential equations PDEs. An algorithm has been developed...