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Partial Differential Equations
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Finite Elements
(12)
Computational Methods for Fluid Dynamics
Code from book by J.H. Ferziger and M.Peric.
FUN2D/3D
Describes a Fortran 95 code for solving the Navier-Stokes equation on a fully unstructured grid.
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.
Public Codes -- Scott R. Fulton
Fortran 77 codes to solve partial differential equations via the multigrid method.
FD
Fortran 77 package by Jiri Zahradnik for 2-D P-SV elastic second-order finite differences.
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).
BEARCLAW
General-purpose software package in Fortran 90 for solving time dependent partial differential equations.
Multiresolution schemes
Program by Sorin Mitran to solve the 1D Euler equations using Harten's multiresolution algorithm.
CLAWPACK
Computes numerical solutions to hyperbolic partial differential equations using a wave propagation approach.
Boundary Element Method
Fortran 77 codes to solve the Laplace and Helmoltz equations.
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.
FISHPACK90
Efficient Fortran 90 subprograms for the solution of separable elliptic partial differential equations.
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.
ELLPACK
High level, portable system for solving elliptic boundary value problems, implemented in Fortran 77. [Commercial]
Parallel Multi-domain Decomposition
Parallel Fortran 90 module to solve positive-definite elliptic linear second-order operator systems.
PseudoPack 2000 Edition Manual
Solution of PDEs using pseudospectral (collocation) methods.
ODE and PDE software
Codes from books of W. E. Schiesser. Some are online, others are available upon request.
Introduction to Convective Heat Transfer Analysis
Fortran 77 programs from book by P.H. Oosthuizen and D. Naylor.
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 Universities, and it forms the basis of the underlying solver in the SPRINT2D and SPRINT3D software.
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