• DIMSYM

  • Referenced in 72 articles [sw04279]
  • linear partial differential equations. To use its primary function the user specifies a system ... ordinary and/or partial differential equations and the type of symmetry to be found (Lie point ... corresponding determining equations (a system of linear partial differential equations for the generator...
  • Janet

  • Referenced in 33 articles [sw07776]
  • like Gröbner bases for linear systems of partial differential equations. It works with left modules ... over differential algebras defined over differential fields of characteristic zero which exist in Maple. Janet ... differential expressions and differential operators. A generic linearization for a non-linear system of partial...
  • ITPACK

  • Referenced in 47 articles [sw00459]
  • linear systems arising in the solution of partial differential equations by discretizations such as finite...
  • Diffpack

  • Referenced in 111 articles [sw00203]
  • software for the solution of partial differential equations, this article has its focus on object ... oriented design of iterative solvers for linear systems of equations. Special attention is paid...
  • PDE2D

  • Referenced in 47 articles [sw04270]
  • MATLAB(r) to solve ordinary and partial differential equations.par The book begins with a review ... direct methods for the solution of linear systems, with an emphasis ... special features of the linear systems that arise when differential equations are solved. The following ... partial differential equation problems, including nonlinear time-dependent and steady-state systems, and linear eigenvalue...
  • PLTMG

  • Referenced in 214 articles [sw00717]
  • package for solving elliptic partial differential equations in general regions of the plane ... algebraic multilevel solvers for the resulting systems of linear equations. PLTMG provides a suite...
  • hgm R

  • Referenced in 16 articles [sw08770]
  • normalizing constants satisfy holonomic systems of linear partial differential equations. The HGM consists of three ... given normalizing constant. (1) Find a holonomic system satisfied by the normalizing constant ... initial value vector for the holonomic system. This is equivalent to evaluating the normalizing constant ... solving ordinary differential equations and efficient solvers of systems of linear equations...
  • libMesh

  • Referenced in 130 articles [sw06657]
  • framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations on serial ... used for the solution of linear systems on both serial and parallel platforms, and LASPack...
  • FastDer++

  • Referenced in 10 articles [sw07041]
  • Typical settings constitute non-linear systems of partial differential equations (PDEs) and ODEs. Although automatic ... considered to slow for implementation in non-linear PDE and ODE solvers, it has recently...
  • HSL_MI20

  • Referenced in 47 articles [sw07246]
  • linear systems obtained from the discretization of second-order scalar elliptic self-adjoint partial differential ... equations. It can also be used as a preconditioner for Krylov subspace methods. In this...
  • PurityFiltration

  • Referenced in 10 articles [sw07656]
  • many classes of underdetermined/overdetermined linear systems of partial differential equations can be explicitly integrated...
  • Nektar++

  • Referenced in 64 articles [sw11964]
  • case study. Numerical methods for elliptic partial differential equations (PDEs) within both continuous and hybridized ... matrix generation followed by a global linear system assembly and solve. The lack of inter...
  • LFA

  • Referenced in 46 articles [sw19092]
  • multigrid methods for systems of partial differential equations. The local Fourier analysis can be obtained ... biharmonic equation, the Oseen and Stokes equations, a linear shell problem and elasticity systems...
  • Madpack

  • Referenced in 18 articles [sw04252]
  • solving linear and nonlinear systems, possibly arizing from partial differential equations, possibly not. The author...
  • Firedrake

  • Referenced in 47 articles [sw14923]
  • system for the portable solution of partial differential equations using the finite element method ... PyOP2 system. The global mesh data structures, as well as linear and non-linear solvers...
  • MEBDF

  • Referenced in 75 articles [sw00567]
  • sparse systems of stiff initial value ordinary differential equations and differential-algebraic equations is described ... constructed by embedding a standard sparse linear algebraic equation solver into a suitably modified MEBDF ... numerical solution of time dependent partial differential equations, particularly in two or more space dimensions...
  • MrDIRECT

  • Referenced in 8 articles [sw12380]
  • phenomenon” encountered when solving linear systems discretized from partial differential equation (PDE). In the case...
  • OreMorphisms

  • Referenced in 9 articles [sw11235]
  • general linear functional systems (e.g., systems of partial differential or difference equations, differential time-delay...
  • ISTL

  • Referenced in 15 articles [sw18749]
  • partial differential equations frequently requires the solution of large and sparse linear systems. Using generic...
  • LASPack

  • Referenced in 11 articles [sw09678]
  • linear equations like those which arise from discretization of partial differential equations. It contains classical ... which are commonly used for large sparse systems such as CG-like methods...