• UG

  • Referenced in 191 articles [sw04596]
  • efficient techniques for the numerical solution of partial differential equations have been developed...
  • CMPGRD

  • Referenced in 110 articles [sw24156]
  • overlapping grids and the numerical solution of partial differential equations on them. First, an overview ... solving elliptic and time-dependent partial differential equations on composite meshes are shown. Applications ... compressible Navier-Stokes equations are discussed. Numerical accuracy, efficiency and the numerical solution are analyzed...
  • libMesh

  • Referenced in 154 articles [sw06657]
  • framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations on serial...
  • CutFEM

  • Referenced in 204 articles [sw15034]
  • CutFEM: Discretizing geometry and partial differential equations. We discuss recent advances on robust unfitted finite ... PDEs on surfaces are discussed and illustrated numerically...
  • DUNE

  • Referenced in 184 articles [sw01466]
  • Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid...
  • Nektar++

  • Referenced in 101 articles [sw11964]
  • Galerkin (HDG) case study. Numerical methods for elliptic partial differential equations (PDEs) within both continuous ... linear system solvers make a numerical scheme for elliptic PDEs a good candidate for implementation...
  • Sinc-Pack

  • Referenced in 76 articles [sw13600]
  • application to the numerical solution of partial differential equations. It contains five chapters...
  • MEBDF

  • Referenced in 85 articles [sw00567]
  • initial value ordinary differential equations and differential-algebraic equations is described. The algorithm is constructed ... embedding a standard sparse linear algebraic equation solver into a suitably modified MEBDF code ... numerical solution of time dependent partial differential equations, particularly in two or more space dimensions...
  • UFL

  • Referenced in 77 articles [sw11183]
  • weak formulations of partial differential equations with a view to numerical approximation. Features ... differentiation of forms and expressions, arbitrary function space hierarchies for multifield problems, general differential operators ... element methods for complex systems of partial differential equations in near-mathematical notation, resulting...
  • LIMbook

  • Referenced in 59 articles [sw14520]
  • equations within the framework of geometric integration, a branch of numerical analysis that devises numerical ... differential systems named conservative problems, particularly Hamiltonian systems. Assuming only basic knowledge of numerical quadrature ... line integral methods. It describes numerous Hamiltonian problems encountered in a variety of applications ... HBVMs to handle the numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions...
  • PDE2D

  • Referenced in 49 articles [sw04270]
  • numerical solution of ordinary and partial differential equations. The Second Edition of this popular text ... variety of problems, including ordinary and partial differential equations and initial value and boundary value ... carefully developed exercises and numerical examples, can be easilymastered by readers.par The final chapter ... used to solve difficult partial differential equation problems, including nonlinear time-dependent and steady-state...
  • MOVCOL

  • Referenced in 33 articles [sw07938]
  • method for solving time dependent partial differential equations, Appl. Numer. Math...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • dimensional time‐dependent partial differential equations. In the last decade, several numerical techniques have been ... developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions with ... which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively ... moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • dimensional time-dependent partial differential equations. In the last decade, several numerical techniques have been ... developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions with ... which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively ... moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • dimensional time-dependent partial differential equations. In the last decade, several numerical techniques have been ... developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions with ... which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively ... moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers...
  • Total FETI

  • Referenced in 45 articles [sw08714]
  • interconnecting (FETI) method for numerical solution of elliptic partial differential equations (PDE) is presented ... Dirichlet boundary conditions. Results of numerical experiments are presented which indicate that the new method...
  • Fluid flow phenomena

  • Referenced in 71 articles [sw15481]
  • Fluid flow phenomena. A numerical toolkit. Incl. 1 disk. The main topic of the book ... three-dimensional incompressible Navier-Stokes equations in laminar and turbulent regimes. The author describes concrete ... which allow to handle the Navier-Stokes equations and to understand the complex physics related ... elliptic partial differential equations in Cartesian and cylindrical coordinates The direct numerical simulations of Navier...
  • BEMECH

  • Referenced in 119 articles [sw10847]
  • with basic theory and then explaining the numerical implementation of BEM in three-dimensional nonlinear ... partial differential equations that describe elasto-plasticity; b) the formulation of boundary integral equations ... elasto-plasticity; c) the description of numerical algorithms for the implementation of boundary element method...
  • deSolve

  • Referenced in 64 articles [sw04499]
  • partial differential equations (PDE) that have been converted to ODEs by numerical differencing...
  • Diffpack

  • Referenced in 115 articles [sw00203]
  • computer science to scientific computing, developers of numerical software are faced with new possibilities ... software for the solution of partial differential equations, this article has its focus on object...