• deSolve

  • Referenced in 44 articles [sw04499]
  • ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential ... differential equations (ODE), of partial differential equations (PDE), of differential algebraic equations ... partial differential equations (PDE) that have been converted to ODEs by numerical differencing...
  • CRACK

  • Referenced in 57 articles [sw07754]
  • length-reduce differential equations is presented. The program CRACK is a computer algebra package written ... obtaining of solutions of algebraic systems, ordinary, or partial differential equations with at most polynomial...
  • DASPK 3.0

  • Referenced in 34 articles [sw04288]
  • numerical experiments on differential algebraic equations arising from the discretisation of partial differential equations...
  • redbKIT

  • Referenced in 138 articles [sw12977]
  • problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied ... implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors ... error analysis. Reduced basis methods for partial differential equations. An introduction. The whole mathematical presentation...
  • Janet

  • Referenced in 33 articles [sw07776]
  • systems of partial differential equations. It works with left modules over differential algebras defined over ... system of partial differential equations can be computed. Some procedures translate differential expressions into ... notation and vice versa. For the Weyl algebra representing ordinary differential operators in characteristic zero...
  • Schittkowski

  • Referenced in 23 articles [sw05205]
  • ordinary differential equations, differential algebraic equations, or one-dimensional partial differential equations which...
  • PLTMG

  • Referenced in 206 articles [sw00717]
  • package for solving elliptic partial differential equations in general regions of the plane ... coarsening, and mesh moving. PLTMG employes several algebraic multilevel solvers for the resulting systems...
  • SYMMGRP

  • Referenced in 118 articles [sw01066]
  • programs for Lie symmetry analysis of partial differential equations symmgrp.max: A Macsyma program ... point symmetries of large systems of differential equations (2006). The package symmgrp.max, which ... works only under Macsyma, the commercial computer algebra system. The 1991 version of symmgrp.max (with...
  • MEBDF

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

  • Referenced in 47 articles [sw11183]
  • language for representing weak formulations of partial differential equations with a view to numerical approximation ... differentiation of forms and expressions, arbitrary function space hierarchies for multifield problems, general differential operators ... flexible tensor algebra. With these features, UFL has been used to effortlessly express finite ... element methods for complex systems of partial differential equations in near-mathematical notation, resulting...
  • hlib

  • Referenced in 56 articles [sw04080]
  • using BLAS and LAPACK for lower-level algebraic operations. The library contains functions ... matrix arithmetics, the treatment of partial differential equations and a number of integral operators...
  • DIFFALG

  • Referenced in 16 articles [sw08613]
  • handling systems of algebraic differential equations--either ordinary or partial differential equations. The core...
  • ITPACK

  • Referenced in 47 articles [sw00459]
  • solving large systems of linear algebraic equations with sparse coefficient matrices. The emphasis ... systems arising in the solution of partial differential equations by discretizations such as finite difference...
  • PRRMD

  • Referenced in 7 articles [sw32782]
  • Parameter range fitting of Differential-Algebraic Equations with partial data...
  • LAMG

  • Referenced in 23 articles [sw06551]
  • Lean algebraic multigrid (LAMG): fast graph Laplacian linear solver. Laplacian matrices of graphs arise ... elliptic partial differential equations discretized on unstructured grids with finite elements. A lean algebraic multigrid...
  • HSL_MI20

  • Referenced in 47 articles [sw07246]
  • preconditioner for finite element problems in 3D. Algebraic multigrid (AMG) is one of the most ... second-order scalar elliptic self-adjoint partial differential equations. It can also be used...
  • ICS

  • Referenced in 1 article [sw09220]
  • computing involutive characteristic set of algebraic partial differential equation systems. A constructive algorithm ... completion of arbitrary algebraic partial differential equation systems to involutive ones is presented. Based ... characteristic set (ICS) of an algebraic partial differential equation system is given. Some examples ... involutive characteristic set of arbitrary algebraic partial differential equation systems thereafter...
  • DESOLVII

  • Referenced in 19 articles [sw06914]
  • Finding higher symmetries of differential equations using the MAPLE package DESOLVII. We present and describe ... with illustrative examples, the MAPLE computer algebra package DESOLVII, which is a major upgrade ... systems of both ordinary and partial differential equations...
  • Kranc

  • Referenced in 13 articles [sw00494]
  • algebra packages, termed ”Kranc”, which comprise a toolbox to convert (tensorial) systems of partial differential ... evolution equations to parallelized C or Fortran code. Kranc can be used as a ”rapid...
  • BIGLIE

  • Referenced in 5 articles [sw09207]
  • rather the Lie algebra, of differential equations, ordinary or partial, single or simultaneous ... books ”Applications of Lie Groups to Differential Equations” by P. J. Olver ( and the worked ... Differential Equations” by G. W. Blumen and S. Kumei or the article ”Symmetries of Differential ... Equations: from Sophus Lie to Computer Algebra” by F. Schwarz, SIAM Review, vol 30, Sept...