• PDE2D

  • Referenced in 47 articles [sw04270]
  • numerical solution of ordinary and partial differential equations. The Second Edition of this popular text ... computational solution of ordinary and partial differential equations. Readers gain a thorough understanding ... variety of problems, including ordinary and partial differential equations and initial value and boundary value ... used to solve difficult partial differential equation problems, including nonlinear time-dependent and steady-state...
  • 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...
  • Chombo

  • Referenced in 51 articles [sw04316]
  • Chombo - Software for Adaptive Solutions of Partial Differential Equations. Chombo provides a set of tools ... difference methods for the solution of partial differential equations on block-structured adaptively refined rectangular...
  • deSolve

  • Referenced in 40 articles [sw04499]
  • problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations ... order ordinary differential equations (ODE), of partial differential equations (PDE), of differential algebraic equations ... delay differential equations. The functions provide an interface to the FORTRAN functions lsoda, lsodar, lsode ... partial differential equations (PDE) that have been converted to ODEs by numerical differencing...
  • Fluid flow phenomena

  • Referenced in 61 articles [sw15481]
  • which allow to handle the Navier-Stokes equations and to understand the complex physics related ... used to solve parabolic and elliptic partial differential equations in Cartesian and cylindrical coordinates...
  • PDESpecialSolutions

  • Referenced in 60 articles [sw12342]
  • form solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms...
  • UFL

  • Referenced in 37 articles [sw11183]
  • specific language for weak formulations of partial differential equations. We present the Unified Form Language ... 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 ... element methods for complex systems of partial differential equations in near-mathematical notation, resulting...
  • CRACK

  • Referenced in 56 articles [sw07754]
  • algorithm designed to length-reduce differential equations is presented. The program CRACK is a computer ... solutions of algebraic systems, ordinary, or partial differential equations with at most polynomial nonlinearity...
  • CutFEM

  • Referenced in 55 articles [sw15034]
  • CutFEM: Discretizing geometry and partial differential equations. We discuss recent advances on robust unfitted finite...
  • SPDE

  • Referenced in 39 articles [sw16714]
  • Package SPDE for Determining Symmetries of Partial Differential Equations. The package SPDE provides ... symmetries of a given system of partial differential equations. Preferably it is used interactively...
  • Nektar++

  • Referenced in 55 articles [sw11964]
  • case study. Numerical methods for elliptic partial differential equations (PDEs) within both continuous and hybridized...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • systems of one‐dimensional time‐dependent partial differential equations. In the last decade, several numerical ... been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • systems of one-dimensional time-dependent partial differential equations. In the last decade, several numerical ... been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • systems of one-dimensional time-dependent partial differential equations. In the last decade, several numerical ... been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions...
  • hlib

  • Referenced in 52 articles [sw04080]
  • matrix arithmetics, the treatment of partial differential equations and a number of integral operators...
  • GeoPDEs

  • Referenced in 51 articles [sw06413]
  • methods for the discretization of partial differential equations currently studied, mainly based on B-splines...
  • PDECOL

  • Referenced in 46 articles [sw00690]
  • PDECOL, general collocation software for partial differential equations...
  • ITPACK

  • Referenced in 34 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 ... solving a class of elliptic partial differential equations. par This paper reviews the objectives...
  • HSL_MI20

  • Referenced in 47 articles [sw07246]
  • second-order scalar elliptic self-adjoint partial differential equations. It can also be used...
  • Feel++

  • Referenced in 32 articles [sw05898]
  • solve partial differential equations. The objectives of this framework is quite ambitious; ambitions which could ... closely the mathematical abstractions associated with partial differential equations (PDE)(which is often...