• 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...