• ROS3P

  • Referenced in 45 articles [sw00813]
  • third-order Rosenbrock solver designed for parabolic problems WWe present a new Rosenbrock solver which ... third-order accurate for nonlinear parabolic problems. Since Rosenbrock methods suffer from order reduction when ... classical order four for special problem classes including linear parabolic equations. His solver RODASP, however ... down to order three for nonlinear parabolic problems. Our motivation here was to derive...
  • AUTO

  • Referenced in 958 articles [sw01059]
  • software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel ... certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT...
  • Hopscotch

  • Referenced in 45 articles [sw00413]
  • Gordon for the numerical solution of evolutionary problems is reformulated and shown to be equivalent ... then developed and applied to parabolic and elliptic problems, both linear and non-linear. This ... given which ensure convergence for parabolic and elliptic problems...
  • CLAWPACK

  • Referenced in 138 articles [sw01069]
  • problems that are not in conservation form. We are actively working on extensions to parabolic ... book Finite Volume Methods for Hyperbolic Problems Virtually all of the figures in this book...
  • ShearLab

  • Referenced in 53 articles [sw06721]
  • rational design of a digital parabolic scaling algorithm. Multivariate problems are typically governed by anisotropic ... such features is the utilization of parabolic scaling. One prominent example is the shearlet system...
  • PELLPACK

  • Referenced in 20 articles [sw00698]
  • software architecture and implementation of the problem-solving environment (PSE) PELLPACK for modeling physical objects ... elliptic or parabolic problems is quite broad, and it handles some hyperbolic problems. Since...
  • AUTO-86

  • Referenced in 279 articles [sw04220]
  • software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel ... certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • time. The class of problems solved includes systems of parabolic, elliptic, and hyperbolic equations ... solution procedure for a Burgers’ equations problem, an electrostatics problem from elastohydrodynamic lubrication...
  • DASOPT

  • Referenced in 14 articles [sw09260]
  • Numerical optimal control of parabolic PDEs using DASOPT. This paper gives a preliminary description ... solve this very large optimal control problem. The use of DASOPT is illustrated ... application to a nonlinear parabolic PDE boundary control problem in two spatial dimensions. Computational results...
  • Dynaflow

  • Referenced in 13 articles [sw34674]
  • analysis capabilities for both parabolic and hyperbolic initial value problems in solid, structural and fluid...
  • ComPASS

  • Referenced in 3 articles [sw13577]
  • been validated on a toy parabolic problem using the Vertex Approximate Gradient finite volume spatial...
  • FreeHyTE

  • Referenced in 11 articles [sw30297]
  • solution of initial boundary value problems using hybrid-Trefftz finite elements. FreeHyTE is designed ... perspective, applicable to hyperbolic, parabolic and elliptic boundary value problems alike. It provides standardized procedures...
  • IRKC

  • Referenced in 21 articles [sw00452]
  • code make it especially attractive for problems in several spatial variables. IRKC is a successor ... Verwer}, RKC: an explicit solver for parabolic PDEs, J. Comput. Appl. Math ... that solves similar problems without stiff reaction terms...
  • PDECHEB

  • Referenced in 15 articles [sw12905]
  • Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. PDECHEB is a FORTRAN ... value problems to provide a powerful software tool for the solution of parabolic-elliptic PDEs...
  • DUNE-FEM-DG

  • Referenced in 3 articles [sw37061]
  • matrix-free implementation for time dependent problems. Both parabolic and first order hyperbolic...
  • AUTO2000

  • Referenced in 52 articles [sw04643]
  • software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel ... certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT...
  • SERK2v3

  • Referenced in 8 articles [sw14473]
  • stiff nonlinear partial differential equations. Multidimensional nonlinear parabolic partial differential equations (PDEs) appear ... solvers for the integration of stiff problems. However, in this manuscript, we would like ... applied to many different classes of problems with large dimensions and additionally they have ... method of lines (MOL) discretizations of parabolic multi-dimensional PDEs. Additionally, the stability domain...
  • FLEXI

  • Referenced in 13 articles [sw36412]
  • high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. High order (HO) schemes ... candidates for the numerical solution of multiscale problems occurring in fluid dynamics and related disciplines...
  • KARDOS

  • Referenced in 14 articles [sw06554]
  • Software Package for Solving Non-linear Evolution Problems The code KARDOS was originally developed ... solve systems of non-linear mixed parabolic-elliptic partial differential equations by means of adaptive...
  • p2poc

  • Referenced in 1 article [sw18657]
  • infinite time horizon optimal control (OC) problems for parabolic systems of PDE over ... basic idea is to treat the OC problem via the associated canonical system...