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Partial Differential Equations
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  • FIDISOL/CADSOL - The "FInite DIfference SOLver/Cartesian Arbitrary Domain SOLver" is a program package for the solution of partial differential equations. 2- and 3-dimensional systems of elliptic (stationary) and parabolic (time-dependent) equations can be solved. The bou
  • Finite Differencing on a Rectangular Grid - Compatible with Lahey ELF90 (Fortran 90 subset) compiler.
  • PseudoPack 2000 Edition Manual - Solution of PDEs using pseudospectral (collocation) methods.
  • Parallel Multi-domain Decomposition - Parallel Fortran 90 module to solve positive-definite elliptic linear second-order operator systems.
  • SPRINT - Modular general-purpose package written in Fortran 77 for the numerical solution of systems of differential-algebraic equations and 1D partial differential equations. It is used at Shell Research Laboratories and at several UK, Europe and North American U
  • MUDPACK: Multigrid Software for Elliptic PDEs - Collection of vectorized, portable Fortran 77/90 subprograms which efficiently solve linear elliptic PDEs using multigrid iteration. OpenMP directives are used in the latest version to enable shared memory parallelism.
  • FISHPACK: Fortran Subprograms for the Solution of Separable Elliptic PDEs - Collection of Fortran subprograms which utilize cyclic reduction to directly solve second- and fourth-order finite difference approximations to separable elliptic PDEs in a variety of forms.
  • Parallel Hierarchical Adaptive MultiLevel Project (PHAML) - Fortran 90 code using adaptive refinement, multigrid and parallel computing to solve 2-D linear elliptic PDEs. Successor to MGGHAT.
  • Parallel Adaptive Mesh Refinement (PARAMESH) - Package of Fortran 90 subroutines designed to provide an application developer with an easy route to extend an existing serial code which uses a logically cartesian structured mesh into a parallel code with adaptive mesh refinement.
  • Pyramid Parallel Unstructured AMR Library Project - Fortran 90 software library for performing parallel adaptive mesh refinement (PAMR) on unstructured meshes.
  • ODE and PDE software - Codes from books of W. E. Schiesser. Some are online, others are available upon request.
  • FD - Fortran 77 package by Jiri Zahradnik for 2-D P-SV elastic second-order finite differences.
  • ELLPACK - High level, portable system for solving elliptic boundary value problems, implemented in Fortran 77. [Commercial]
  • Introduction to Convective Heat Transfer Analysis - Fortran 77 programs from book by P.H. Oosthuizen and D. Naylor.
  • Multiresolution schemes - Program by Sorin Mitran to solve the 1D Euler equations using Harten's multiresolution algorithm.
  • ToyFDTD - Finite Difference Time Domain code by L. E. Miller, Paul R. Hayes, and M. O'Keefe.
  • FUN2D/3D - Describes a Fortran 95 code for solving the Navier-Stokes equation on a fully unstructured grid.
  • Public Codes -- Scott R. Fulton - Fortran 77 codes to solve partial differential equations via the multigrid method.
  • Boundary Element Method - Fortran 77 codes to solve the Laplace and Helmoltz equations.
  • FISHPACK90 - Efficient Fortran 90 subprograms for the solution of separable elliptic partial differential equations.
  • PARAMESH - Package of Fortran 90 subroutines designed to provide an application developer with an easy route to extend an existing serial code which uses a logically cartesian structured mesh into a parallel code with adaptive mesh refinement (AMR).

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