
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 ... fourthorder 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 blockstructured 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 gridbased 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 NavierStokes 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 finitedifferences discretizations of 2 and 3dimensional partial differential equations. Useful for testing...

OreMorphisms
 Referenced in 12 articles
[sw11235]
 functional systems (e.g., systems of partial differential or difference equations, differential timedelay systems ... equations in 6 unknowns and prove that it is equivalent to a simple equation ... classical systems of differential timedelay 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 knowhow 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 differentialdifference 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 tanhmethod for partial differential equations. The new algorithm is implemented ... traveling wave solutions of nonlinear polynomial differentialdifference equations. Use of the package, implementation issues...

DGM
 Referenced in 89 articles
[sw39282]
 deep learning algorithm for solving partial differential equations. Highdimensional 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 timedependent twodimensional 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 timedependent threedimensional 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. Highperformance 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...