• FPINNs

  • Referenced in 49 articles [sw40570]
  • effective in solving integer-order partial differential equations (PDEs) based on scattered and noisy data ... fPINNs) to solve space-time fractional advection-diffusion equations (fractional ADEs), and we demonstrate their...
  • ParaDiag

  • Referenced in 8 articles [sw41866]
  • ParaDiag-II for the advection-diffusion equation. We will also introduce ParaDiag ... equation. We could have used the advection-diffusion equation as well to illustrate ParaDiag ... wave equations are known to cause problems for certain PinT algorithms and thus constitute ... ParaDiag algorithms for a 2D linear advection-diffusion equation. These results are obtained...
  • MOLT

  • Referenced in 7 articles [sw34473]
  • unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. In this paper, we present...
  • SWAMP

  • Referenced in 1 article [sw02319]
  • numerical solution of partial differential equations describing advection-diffusion and biological processes...
  • VarNet

  • Referenced in 9 articles [sw42184]
  • VarNet, for the solution of partial differential equations (PDEs) using deep neural networks (NNs). Particularly ... through extensive numerical experiments for the advection-diffusion PDE as an important case-study...
  • 3DFLUX

  • Referenced in 1 article [sw09564]
  • solution of the scalar transport equation. This algorithm, named 3DFLUX, produces highly accurate solutions that ... Finally, 3DFLUX is used to simulate advection-diffusion of a complex temperature field...
  • PyMPDATA

  • Referenced in 1 article [sw37981]
  • partial differential equations used to model conservation/balance laws, scalar-transport problems, convection-diffusion phenomena ... support for integration of Fickian-terms in advection-diffusion problems using the pseudo-transport velocity...
  • ADOL-C

  • Referenced in 257 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • ANSYS

  • Referenced in 713 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • Diffpack

  • Referenced in 115 articles [sw00203]
  • As modern programming methodologies migrate from computer science...
  • Expokit

  • Referenced in 200 articles [sw00258]
  • Expokit provides a set of routines aimed at...
  • Gmsh

  • Referenced in 783 articles [sw00366]
  • Gmsh is a 3D finite element grid generator...
  • Hopscotch

  • Referenced in 45 articles [sw00413]
  • Hopscotch: a fast second order partial differential equations...
  • hypre

  • Referenced in 334 articles [sw00426]
  • hypre is a software library for the solution...
  • IRKC

  • Referenced in 21 articles [sw00452]
  • The Fortran 90 code IRKC is intended for...
  • ISOGAT

  • Referenced in 318 articles [sw00457]
  • A tutorial 2D MATLAB code for solving elliptic...
  • LAPACK

  • Referenced in 1713 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...
  • LSQR

  • Referenced in 410 articles [sw00530]
  • Algorithm 583: LSQR: Sparse Linear Equations and Least...
  • Mathematica

  • Referenced in 6445 articles [sw00554]
  • Almost any workflow involves computing results, and that...
  • Matlab

  • Referenced in 13702 articles [sw00558]
  • MATLAB® is a high-level language and interactive...