• FreeFem++

  • Referenced in 1234 articles [sw01436]
  • enables you to solve Partial Differential Equations (PDE) easily. Problems involving PDE (2d, 3d) from...
  • redbKIT

  • Referenced in 208 articles [sw12977]
  • PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical...
  • rbMIT

  • Referenced in 143 articles [sw00784]
  • reasonably fast platform, (iii) the Matlab® symbolic, pde, and optimizaton toolkits, and (iv) agreement...
  • ML

  • Referenced in 123 articles [sw08067]
  • systems of equations arising primarily from elliptic PDE discretizations. ML is used to define...
  • deSolve

  • Referenced in 56 articles [sw04499]
  • ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential ... differential equations (ODE), of partial differential equations (PDE), of differential algebraic equations ... partial differential equations (PDE) that have been converted to ODEs by numerical differencing...
  • PDE-Net

  • Referenced in 36 articles [sw36963]
  • PDE-Net: Learning PDEs from Data. In this paper, we present an initial attempt ... feed-forward deep network, called PDE-Net, to fulfill two objectives at the same time ... systems and to uncover the underlying hidden PDE models. The basic idea of the proposed ... PDE-Net is to learn differential operators by learning convolution kernels (filters), and apply neural...
  • top88.m

  • Referenced in 70 articles [sw22631]
  • basic code to include recent PDE-based and black-and-white projection filtering methods...
  • SU2

  • Referenced in 47 articles [sw19896]
  • software tools for performing Partial Differential Equation (PDE) analysis and solving PDE-constrained optimization problems...
  • DGM

  • Referenced in 63 articles [sw39282]
  • high-dimensional Hamilton-Jacobi-Bellman PDE and Burgers’ equation. The deep learning algorithm approximates...
  • Total FETI

  • Referenced in 44 articles [sw08714]
  • FETI method for numerical solution of elliptic PDE. A new variant of the finite element ... numerical solution of elliptic partial differential equations (PDE) is presented. The basic idea...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define ... spatial part of the user-defined PDE following the method of lines approach. We supply ... system obtained from semidiscretizing, respectively, the PDE and the set of moving-grid equations. These...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define ... spatial part of the user-defined PDE following the method of lines approach. We supply ... system obtained from semidiscretizing, respectively, the PDE and the set of moving-grid equations. These...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define ... spatial part of the user-defined PDE following the method of lines approach. We supply ... system obtained from semidiscretizing, respectively, the PDE and the set of moving-grid equations. These...
  • AMDiS

  • Referenced in 49 articles [sw10480]
  • broad class of partial differential equations (PDE) using adaptive finite elements...
  • LOBPCG

  • Referenced in 32 articles [sw09638]
  • rank methods for high-dimensional elliptic PDE eigenvalue problems. We consider elliptic PDE eigenvalue problems...
  • PDEtools

  • Referenced in 30 articles [sw10772]
  • first implementation of it as the PDE tools software package of commands, using the Maple ... system, are presented. This implementation includes a PDE-solver, a command for changing variables...
  • G+Smo

  • Referenced in 40 articles [sw14372]
  • data fitting and solid segmentation module, the PDE discretization module and the adaptive spline module...
  • Feel++

  • Referenced in 39 articles [sw05898]
  • mathematical abstractions associated with partial differential equations (PDE)(which is often not the case...
  • CADSOL

  • Referenced in 37 articles [sw07970]
  • human skin -- an unexpected application of a PDE- black-box solver CADSOL (Cartesian Arbitrary Domain...
  • ORBIT

  • Referenced in 37 articles [sw20552]
  • watershed model and optimization of a PDE-based bioremediation plan, are also encouraging and support...