• CADSOL

  • Referenced in 37 articles [sw07970]
  • arbitrary nonlinear systems of two-dimensional and three- dimensional elliptic and parabolic partial differential equations ... with arbitrary nonlinear boundary conditions on arbitrary domains with body- oriented grids. We will present...
  • CLAWPACK

  • Referenced in 130 articles [sw01069]
  • initially developed for linear and nonlinear hyperbolic systems of conservation laws, with a focus ... actively working on extensions to parabolic equations as well. The “wave propagation” algorithms implemented...
  • FIDISOL

  • Referenced in 12 articles [sw00288]
  • solution of nonlinear systems of 2-D and 3-D elliptic and parabolic differential equations ... subject to arbitrary nonlinear boundary conditions on a rectangular domain. The solution method ... iterative solvers for large sparse linear systems. For details the reader is referred...
  • FDEM

  • Referenced in 8 articles [sw10383]
  • solution of systems of nonlinear elliptic and parabolic partial differential equations PDEs. An algorithm...
  • d03pcf

  • Referenced in 5 articles [sw30985]
  • d03pcf/d03pca integrates a system of linear or nonlinear parabolic partial differential equations (PDEs ... employed to reduce the PDEs to a system of ordinary differential equations (ODEs). The resulting...
  • SPRINT2D

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

  • Referenced in 13 articles [sw34674]
  • response of linear and nonlinear two- and three-dimensional systems. In particular, it offers transient ... analysis capabilities for both parabolic and hyperbolic initial value problems in solid, structural and fluid ... bandwidth of the equations. Despite large system capacity, no loss of efficiency is encountered ... predictor-(multi)corrector scheme is used. The nonlinear implicit solution algorithms available include: successive substitutions...
  • DASOPT

  • Referenced in 13 articles [sw09260]
  • parabolic PDEs using DASOPT. This paper gives a preliminary description of DASOPT, a software system ... optimal control of time-dependent nonlinear systems of PDEs in two (and eventually three) spatial ... PDEs are converted into a large system of ordinary differential equations or DAEs. Special techniques ... illustrated by its application to a nonlinear parabolic PDE boundary control problem in two spatial...
  • SERK2

  • Referenced in 11 articles [sw10426]
  • solution of large and complicated systems of nonlinear equations, and they are especially suited ... lines of two and three dimensional parabolic partial differential equations. In J. Martín-Vaquero...
  • SERK2v3

  • Referenced in 7 articles [sw14473]
  • stiff nonlinear partial differential equations. Multidimensional nonlinear parabolic partial differential equations (PDEs) appear ... require algebra routines to solve large nonlinear systems associated to ODEs and therefore are especially ... method of lines (MOL) discretizations of parabolic multi-dimensional PDEs. Additionally, the stability domain ... spectral radius in the new code: a nonlinear power method and another procedure based...
  • ParaOpt

  • Referenced in 1 article [sw35927]
  • systems. The time parallel solution of optimality systems arising in PDE constrained optimization could ... ParaOpt, for the coupled forward and backward nonlinear partial differential equations. ParaOpt is inspired ... convergence analysis for the case of linear parabolic PDE constraints. We illustrate the performance ... numerical experiments for both linear and nonlinear optimality systems...
  • MOL1D

  • Referenced in 1 article [sw36300]
  • method of lines solution for systems of initial-boundary-value partial differential equations ... linear and nonlinear hyperbolic equations with or without discontinuities, linear and nonlinear parabolic equations (including ... stable time-independent solution of a parabolic equation. Systems are handled as easily as single...
  • Mafem3D

  • Referenced in 1 article [sw14359]
  • yield surface are crucial elements in nonlinear FEM analysis of reinforced concrete members and structures ... material model used in author’s computational system Mafem3D has been described. In MWW3 model ... middle part and two caps: parabolic from the side of mean tensile stresses and circular...
  • ADOL-C

  • Referenced in 244 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • ALBERT

  • Referenced in 82 articles [sw00025]
  • ALBERT - Software for scientific computations and applications. Adaptive...
  • ANSYS

  • Referenced in 666 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • CAGE

  • Referenced in 9 articles [sw00099]
  • CAGE: A tool for parallel genetic programming applications...
  • Diffpack

  • Referenced in 114 articles [sw00203]
  • As modern programming methodologies migrate from computer science...
  • EPDCOL

  • Referenced in 18 articles [sw00240]
  • The software package PDECOL [7] is a popular...
  • Expokit

  • Referenced in 184 articles [sw00258]
  • Expokit provides a set of routines aimed at...