• RKC

  • Referenced in 118 articles [sw00808]
  • Runge-Kutta-Chebychev algorithm for parabolic partial differential equations is discussed, implemented and tested. This...
  • CADSOL

  • Referenced in 37 articles [sw07970]
  • three- dimensional elliptic and parabolic partial differential equations with arbitrary nonlinear boundary conditions on arbitrary...
  • Fluid flow phenomena

  • Referenced in 66 articles [sw15481]
  • which allow to handle the Navier-Stokes equations and to understand the complex physics related ... used to solve parabolic and elliptic partial differential equations in Cartesian and cylindrical coordinates...
  • SERK2

  • Referenced in 11 articles [sw10426]
  • been used with stiff ordinary differential equations (ODEs) due to their stability. Implicit schemes ... large and complicated systems of nonlinear equations, and they are especially suited for discretizations using ... three dimensional parabolic partial differential equations. In J. Martín-Vaquero and B. Janssen [ Comput. Phys...
  • SERK2v3

  • Referenced in 7 articles [sw14473]
  • partial differential equations. Multidimensional nonlinear parabolic partial differential equations (PDEs) appear in a large variety ... against the use of explicit ordinary differential equations (ODE) solvers for the integration of stiff ... method of lines (MOL) discretizations of parabolic multi-dimensional PDEs. Additionally, the stability domain...
  • KARDOS

  • Referenced in 14 articles [sw06554]
  • systems of non-linear mixed parabolic-elliptic partial differential equations by means of adaptive space...
  • FDEM

  • Referenced in 8 articles [sw10383]
  • systems of nonlinear elliptic and parabolic partial differential equations PDEs. An algorithm has been developed...
  • DGM

  • Referenced in 63 articles [sw39282]
  • deep learning algorithm for solving partial differential equations. High-dimensional PDEs have been a longstanding ... network which is trained to satisfy the differential operator, initial condition, and boundary conditions ... Burgers’ equation. The deep learning algorithm approximates the general solution to the Burgers’ equation ... neural networks for a class of quasilinear parabolic PDEs...
  • Hopscotch

  • Referenced in 43 articles [sw00413]
  • Hopscotch: a fast second order partial differential equations solver. An idea of Gordon ... process is then developed and applied to parabolic and elliptic problems, both linear...
  • BACOLI

  • Referenced in 6 articles [sw13810]
  • Numerical Solution of One Dimensional Parabolic Partial Differential Equations. BACOLI is based on the earlier ... error controlled numerical solution of 1D Parabolic PDEs. Both BACOL and BACOLI implement...
  • ROS3P

  • Referenced in 44 articles [sw00813]
  • reduction when they are applied to partial differential equations, additional order conditions have ... Wanner [Solving ordinary differential equations. II: Stiff and differential-algebraic problems ... four for special problem classes including linear parabolic equations. His solver RODASP, however, drops down...
  • d03pcf

  • Referenced in 5 articles [sw30985]
  • system of linear or nonlinear parabolic partial differential equations (PDEs) in one space variable...
  • HyPar

  • Referenced in 2 articles [sw12619]
  • HyPar - Hyperbolic-Parabolic Partial Differential Equations Solver: A finite-difference algorithm to solve hyperbolic-parabolic...
  • MOVCOL

  • Referenced in 33 articles [sw07938]
  • intended to solve systems of second-order parabolic PDEs in one space dimension ... collocation method for solving time dependent partial differential equations, Appl. Numer. Math...
  • PDECHEB

  • Referenced in 15 articles [sw12905]
  • Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. PDECHEB is a FORTRAN ... wide range of time-dependent partial differential equations in one space variable. The software implements ... powerful software tool for the solution of parabolic-elliptic PDEs with coupled differential algebraic equations...
  • eBACOLI

  • Referenced in 1 article [sw30513]
  • package for solving one-dimensional parabolic partial differential equations (PDEs) with separated boundary conditions ... interest, however, can be formulated as multiscale parabolic PDE systems, that is, models that couple...
  • FFEP

  • Referenced in 1 article [sw05514]
  • solution of elliptic and parabolic partial differential equation in two dimensions with Dirichlet and Neumann...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • solving both steady and unsteady partial differential equations (PDEs) in two-space variables. The software ... mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization ... class of problems solved includes systems of parabolic, elliptic, and hyperbolic equations; for the latter...
  • DASOPT

  • Referenced in 13 articles [sw09260]
  • Numerical optimal control of parabolic PDEs using DASOPT. This paper gives a preliminary description ... partial differential equations (PDEs). DASOPT combines the use of efficient numerical methods for solving differential ... algebraic equations (DAEs) with a package for large scale optimization based on sequential quadratic programming ... into a large system of ordinary differential equations or DAEs. Special techniques are needed...
  • MIXAGE

  • Referenced in 2 articles [sw11848]
  • solve analytically and numerically parabolic systems of partial differential equations appearing in the reactor physics...