• FISHPAK

  • Referenced in 99 articles [sw08012]
  • Fortran subprograms for the solution of separable elliptic partial differential equations. FISHPACK contains a collection ... coordinates, as well as more general separable elliptic equations. The solvers use the cyclic reduction ... problem is singular, a least-squares solution is computed. Singularities induced by the coordinate system ... make”. If your application requires solution of nonseparable elliptic PDEs, or a mix of separable...
  • Total FETI

  • Referenced in 45 articles [sw08714]
  • FETI method for numerical solution of elliptic PDE. A new variant of the finite element ... interconnecting (FETI) method for numerical solution of elliptic partial differential equations (PDE) is presented...
  • ELLPACK

  • Referenced in 131 articles [sw01208]
  • elliptic problems with ELLPACK typically involves a process in which one repeatedly computes a solution ... analyzes the results, and modifies the solution technique. Although this process is best suited ... interactive elliptic problem solving by allowing the user to interactively build grids, choose solution methods...
  • PDESpecialSolutions

  • Referenced in 65 articles [sw12342]
  • Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs. Algorithms ... sech-methods, which lead to closed-form solutions of nonlinear ordinary and partial differential equations ... exact polynomial solutions of ODEs and PDEs in terms of Jacobi’s elliptic functions ... that the differential equations admit polynomial solutions in tanh, sech, combinations thereof, Jacobi...
  • MUDPACK

  • Referenced in 31 articles [sw00601]
  • FORTRAN software for the efficient solution of linear elliptic partial differential equations MUDPACK ... solving real or complex elliptic partial differential equations. The solution regions are rectangles...
  • CMPGRD

  • Referenced in 110 articles [sw24156]
  • generate curvilinear overlapping grids and the numerical solution of partial differential equations on them. First ... also presented. Some techniques for solving elliptic and time-dependent partial differential equations on composite ... meshes are shown. Applications to the solution of the compressible Navier-Stokes equations are discussed...
  • PDERecursionOperator

  • Referenced in 27 articles [sw12345]
  • package, PDESpecialSolutions.m, computes exact solutions expressible in hyperbolic or elliptic functions. The third package, PDERecursionOperator.m...
  • T-IFISS

  • Referenced in 13 articles [sw23889]
  • Efficient adaptive algorithms for elliptic PDEs with random data. We present a novel adaptive algorithm ... Galerkin finite element method for numerical solution of elliptic PDE problems with correlated random data...
  • Chombo

  • Referenced in 69 articles [sw04316]
  • solution of partial differential equations on block-structured adaptively refined rectangular grids. Both elliptic...
  • HSL_MI20

  • Referenced in 55 articles [sw07246]
  • solution of large, sparse linear systems obtained from the discretization of second-order scalar elliptic...
  • FiPy

  • Referenced in 23 articles [sw10791]
  • standard sources, enabling the solution of arbitrary combinations of coupled elliptic, hyperbolic and parabolic PDEs...
  • PHAML

  • Referenced in 12 articles [sw05764]
  • parallel program for the solution of 2D elliptic partial differential equations using low or high...
  • PDECHEB

  • Referenced in 15 articles [sw12905]
  • Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. PDECHEB is a FORTRAN ... powerful software tool for the solution of parabolic-elliptic PDEs with coupled differential algebraic equations...
  • ITPACK

  • Referenced in 47 articles [sw00459]
  • solution modules in the ELLPACK package of computer routines for solving a class of elliptic...
  • JACOBI

  • Referenced in 7 articles [sw13620]
  • Symbolic computation of Jacobi elliptic function solutions to nonlinear differential-difference equations. An algorithm ... polynomial solutions of nonlinear differential-difference equations(DDEs) in terms of the Jacobi elliptic functions ... algorithm to automatically compute special solutions of nonlinear DDEs. The effectiveness of the package...
  • CADSOL

  • Referenced in 38 articles [sw07970]
  • solution of arbitrary nonlinear systems of two-dimensional and three- dimensional elliptic and parabolic partial...
  • RAEEM

  • Referenced in 15 articles [sw00773]
  • finding a series of exact traveling wave solutions for nonlinear evolution equations. In Maple ... method, the extended tanh-method, the Jacobi elliptic function method and the elliptic equation method ... traveling wave solutions, including those of polynomial, exponential, triangular, hyperbolic, rational, Jacobi elliptic, Weierstrass elliptic ... equations. In addition to recovering previously known solutions, we also obtain more general forms...
  • Hopscotch

  • Referenced in 44 articles [sw00413]
  • idea of Gordon for the numerical solution of evolutionary problems is reformulated and shown ... then developed and applied to parabolic and elliptic problems, both linear and non-linear. This...
  • PainleveTest

  • Referenced in 13 articles [sw12344]
  • package, PDESpecialSolutions.m, computes exact solutions expressible in hyperbolic or elliptic functions. The third package, PDERecursionOperator.m...
  • HyENA

  • Referenced in 7 articles [sw20711]
  • Elliptic Numerical Analysis. HyENA is a C++ library for the numerical solution of partial differential ... temporal discretization; Fundamental solutions for different elliptic and hyperbolic problems; Support for fast boundary element...