• AUTO

  • Referenced in 943 articles [sw01059]
  • certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT...
  • COMSOL

  • Referenced in 458 articles [sw04091]
  • specify your own partial differential equations (PDEs) and link them with other equations and physics...
  • redbKIT

  • Referenced in 255 articles [sw12977]
  • repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such ... PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical ... context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows...
  • DGM

  • Referenced in 177 articles [sw39282]
  • solving partial differential equations. High-dimensional PDEs have been a longstanding computational challenge. We propose ... solve high-dimensional PDEs by approximating the solution with a deep neural network which ... class of high-dimensional free boundary PDEs, which we are able to accurately solve ... networks for a class of quasilinear parabolic PDEs...
  • ma2dfc

  • Referenced in 210 articles [sw20918]
  • Matrix approach to discretization of ODEs and PDEs of arbitrary real order. Functions illustrating matrix ... approach to discretization of ODEs / PDEs with fractional derivatives...
  • AUTO-86

  • Referenced in 277 articles [sw04220]
  • certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT...
  • IIMPACK

  • Referenced in 228 articles [sw16046]
  • Immersed Interface Method -- Numerical Solutions of PDEs Involving Interfaces and Irregular Domains, Zhilin...
  • PLTMG

  • Referenced in 215 articles [sw00717]
  • suite of continuation options to handle PDEs with parameter dependencies. It also provides options...
  • BVPh

  • Referenced in 204 articles [sw06575]
  • validity of the HAM for nonlinear PDEs, such as the American put option and resonance...
  • CutFEM

  • Referenced in 204 articles [sw15034]
  • boundaries and interfaces and the discretization of PDEs on surfaces are discussed and illustrated numerically...
  • Chemotaxis

  • Referenced in 201 articles [sw07009]
  • Chemotaxis: approximation of PDEs models (parabolic, hyperbolic and kinetic models...
  • DUNE

  • Referenced in 184 articles [sw01466]
  • modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports...
  • FISHPAK

  • Referenced in 99 articles [sw08012]
  • approximations to separable elliptic Partial Differential Equations (PDEs). These include Helmholtz equations in cartesian, polar ... your application requires solution of nonseparable elliptic PDEs, or a mix of separable and nonseparable ... iteration to approximate separable and nonseparable elliptic PDEs. The software is available on NCAR ... pages. If you are solving separable elliptic PDEs only, and prefer Fortran90 syntax, then...
  • Nektar++

  • Referenced in 101 articles [sw11964]
  • Numerical methods for elliptic partial differential equations (PDEs) within both continuous and hybridized discontinuous Galerkin ... solvers make a numerical scheme for elliptic PDEs a good candidate for implementation on streaming...
  • RKC

  • Referenced in 120 articles [sw00808]
  • explicit solver for parabolic PDEs. An explicit Runge-Kutta-Chebychev algorithm for parabolic partial differential...
  • GeoPDEs

  • Referenced in 116 articles [sw06413]
  • research tool for isogeometric analysis of PDEs. GeoPDEs (http://geopdes.sourceforge.net) is a suite of free...
  • Firedrake

  • Referenced in 113 articles [sw14923]
  • discretisations to an infinite variety of PDEs and employ either conventional CPUs or GPUs...
  • PDESpecialSolutions

  • Referenced in 65 articles [sw12342]
  • hyperbolic and elliptic functions for nonlinear PDEs. Algorithms are presented for the tanh- and sech ... ordinary and partial differential equations (ODEs and PDEs). New algorithms are given to find exact ... polynomial solutions of ODEs and PDEs in terms of Jacobi’s elliptic functions. For systems ... automatically compute new special solutions of nonlinear PDEs. Use of the package, implementation issues, scope...
  • Sinc-Pack

  • Referenced in 76 articles [sw13600]
  • integral equation methods for partial differential equations (PDEs) and integral equations – 3. Explicit ... Sinc-Pack – 4. Explicit program solutions of PDEs via Sinc-Pack – 5. Directory of programs...
  • DeepXDE

  • Referenced in 61 articles [sw32456]
  • solving partial differential equations (PDEs) has emerged only recently. Here, we present an overview ... applied to different types of PDEs, including integro-differential equations, fractional PDEs, and stochastic PDEs...