• COMSOL

  • Referenced in 435 articles [sw04091]
  • different physics and defining the interdependencies yourself. Or you can specify your own partial differential ... equations (PDEs) and link them with other equations and physics...
  • FISHPAK

  • Referenced in 97 articles [sw08012]
  • solution of separable elliptic partial differential equations. FISHPACK contains a collection of Fortran77 subroutines that ... fourth-order finite difference approximations to separable elliptic Partial Differential Equations (PDEs). These include Helmholtz...
  • Chombo

  • Referenced in 60 articles [sw04316]
  • implementing finite difference methods for the solution of partial differential equations on block-structured adaptively...
  • PDE2D

  • Referenced in 49 articles [sw04270]
  • numerical solution of ordinary and partial differential equations. The Second Edition of this popular text ... difference and finite element methods for the computational solution of ordinary and partial differential equations ... MATLAB(r) to solve ordinary and partial differential equations.par The book begins with a review ... difference methods for solving a variety of problems, including ordinary and partial differential equations...
  • DUNE

  • Referenced in 168 articles [sw01466]
  • modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports ... Finite Volumes (FV), and also Finite Differences (FD). DUNE is free software licensed under...
  • Fluid flow phenomena

  • Referenced in 66 articles [sw15481]
  • which allow to handle the Navier-Stokes equations and to understand the complex physics related ... finite difference method is used to solve parabolic and elliptic partial differential equations in Cartesian...
  • ITPACK

  • Referenced in 47 articles [sw00459]
  • solution of partial differential equations by discretizations such as finite difference or finite element methods ... solving a class of elliptic partial differential equations. par This paper reviews the objectives...
  • TAUCS

  • Referenced in 32 articles [sw04014]
  • generate finite-differences discretizations of 2- and 3-dimensional partial differential equations. Useful for testing...
  • OreMorphisms

  • Referenced in 12 articles [sw11235]
  • functional systems (e.g., systems of partial differential or difference equations, differential time-delay systems ... equations in 6 unknowns and prove that it is equivalent to a simple equation ... classical systems of differential time-delay equations and partial differential equations coming from control theory...
  • UG

  • Referenced in 190 articles [sw04596]
  • techniques for the numerical solution of partial differential equations have been developed. We are especially ... time and know-how in different fields. UG (abbreviation for Unstructured Grids) has been designed...
  • Feel++

  • Referenced in 39 articles [sw05898]
  • solve partial differential equations. The objectives of this framework is quite ambitious; ambitions which could ... versatile mathematical kernel solving easily problems using different techniques thus allowing testing and comparing methods ... closely the mathematical abstractions associated with partial differential equations (PDE)(which is often...
  • Kaskade7

  • Referenced in 39 articles [sw06545]
  • stationary or transient systems of partial differential equations. The library is written ... independent of spatial dimension and works with different grid managers. An important feature...
  • DDESpecialSolutions

  • Referenced in 35 articles [sw12343]
  • exact traveling wave solutions of differential-difference equations in terms of tanh functions. For systems ... conditions on the parameters so that the equations might admit polynomial solutions in tanh. Examples ... drawn to the tanh-method for partial differential equations. The new algorithm is implemented ... traveling wave solutions of nonlinear polynomial differential-difference equations. Use of the package, implementation issues...
  • DGM

  • Referenced in 89 articles [sw39282]
  • deep learning algorithm for solving partial differential equations. High-dimensional PDEs have been a longstanding ... Burgers’ equation. The deep learning algorithm approximates the general solution to the Burgers’ equation ... continuum of different boundary conditions and physical conditions (which can be viewed as a high...
  • VLUGR2

  • Referenced in 17 articles [sw01003]
  • finite difference solver for time-dependent two-dimensional systems of partial differential equations. It describes...
  • TRICE

  • Referenced in 46 articles [sw05197]
  • linearized state equation and the adjoint equation. They are well suited for large scale problems ... arising from optimal control problems governed by partial differential equations.par The algorithms keep strict feasibility ... affine scaling method proposed, for a different class of problems, by {it T. F. Coleman ... control problem governed by a nonlinear heat equation are reported...
  • VLUGR3

  • Referenced in 13 articles [sw01004]
  • finite difference solver for time-dependent three-dimensional systems of partial differential equations. The robustness...
  • Pluto

  • Referenced in 27 articles [sw09092]
  • solution of mixed hyperbolic/parabolic systems of partial differential equations (conservation laws) targeting high Mach number ... with a modular and flexible structure whereby different numerical algorithms can be separately combined...
  • Sundance

  • Referenced in 18 articles [sw10599]
  • optimization. High-performance algorithms for partial differential equation (PDE)-constrained optimization often require application ... solution of systems of equations that are different from those used in a single solution...