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Programming Guide


Programming Guide: Languages: Fortran: Source Code: Partial Differential Equations
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Finite Elements [13]

Web Sites

Boundary Element Method in Acoustics
Code accompanies book by Stephen Kirkup.
url: www.soundsoft.demon.co.uk/tbemia.htm

ELLPACK
High level, portable system for solving elliptic boundary value problems, implemented in Fortran 77. [Commercial]
url: www.cs.purdue.edu/ellpack/ellpack.html

FD
Fortran 77 package by Jiri Zahradnik for 2-D P-SV elastic second-order finite differences.
url: seis.karlov.mff.cuni.cz/software/sw3dcd5/fd/fd.htm

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 boundary conditions may be arbitrary. The solution method is the finite difference method. For the FIDISOL part the solution domain is restricted to be rectangular. For the CADSOL part the domain is body-oriented, i. e. logically rectangular. There are versions with an adaptive grid generation. For CADSOL dividing lines can be prescribed allowing the solution of different partial differential equations in different subdomains or allowing noncontinuous conditions inside the domain.
url: www.rz.uni-karlsruhe.de/~numerik/fidisol.cadsol/in...

Finite Differencing on a Rectangular Grid
Compatible with Lahey ELF90 (Fortran 90 subset) compiler.
url: www.cilea.it/~bottoni/F90/laplace.f90.htm

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.
url: www.scd.ucar.edu/css/software/fishpack/

Introduction to Convective Heat Transfer Analysis
Fortran 77 programs from book by P.H. Oosthuizen and D. Naylor.
url: www.ryerson.ca/~dnaylor/programs.htm

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.
url: www.scd.ucar.edu/css/software/mudpack/

ODE and PDE software
Codes from books of W. E. Schiesser. Some are online, others are available upon request.
url: www.lehigh.edu/~wes1/ctp/ctp.html

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.
url: ct.gsfc.nasa.gov/paramesh/Users_manual/amr.html

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.
url: math.nist.gov/phaml/

Parallel Multi-domain Decomposition
Parallel Fortran 90 module to solve positive-definite elliptic linear second-order operator systems.
url: www.idris.fr/data/publications/PMD/PMD.html

PseudoPack 2000 Edition Manual
Solution of PDEs using pseudospectral (collocation) methods.
url: www.labma.ufrj.br/~bcosta/pseudopack2000/main.html

Pyramid Parallel Unstructured AMR Library Project
Fortran 90 software library for performing parallel adaptive mesh refinement (PAMR) on unstructured meshes.
url: www-hpc.jpl.nasa.gov/APPS/AMR/

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.
url: www.scs.leeds.ac.uk/cpde/SPRINT1.html


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