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Partial Differential Equations

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Finite Elements (12)

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	Parallel Hierarchical Adaptive MultiLevel Project (PHAML) - http://math.nist.gov/phaml/ Fortran 90 code using adaptive refinement, multigrid and parallel computing to solve 2-D linear elliptic PDEs. Successor to MGGHAT.
	CLAWPACK - http://www.amath.washington.edu/~claw/ Computes numerical solutions to hyperbolic partial differential equations using a wave propagation approach.
	BEARCLAW - http://www.amath.unc.edu/Faculty/mitran/bearclaw.html General-purpose software package in Fortran 90 for solving time dependent partial differential equations.
	FUN2D/3D - http://fun3d.larc.nasa.gov/index.html Describes a Fortran 95 code for solving the Navier-Stokes equation on a fully unstructured grid.
	ELLPACK - http://www.cs.purdue.edu/ellpack/ellpack.html High level, portable system for solving elliptic boundary value problems, implemented in Fortran 77. [Commercial]

	PseudoPack 2000 Edition Manual - http://www.labma.ufrj.br/~bcosta/pseudopack2000/main.html Solution of PDEs using pseudospectral (collocation) methods.
	MUDPACK: Multigrid Software for Elliptic PDEs - http://www.cisl.ucar.edu/css/software/mudpack/ 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.
	ODE and PDE software - http://www.lehigh.edu/~wes1/ctp/ctp.html Codes from books of W. E. Schiesser. Some are online, others are available upon request.
	FISHPACK: Fortran Subprograms for the Solution of Separable Elliptic PDEs - http://www.cisl.ucar.edu/css/software/fishpack/ 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 - http://www.cisl.ucar.edu/css/software/fishpack90/ Efficient Fortran 90 subprograms for the solution of separable elliptic partial differential equations.

	PARAMESH - http://sourceforge.net/projects/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).
	Multiresolution schemes - http://www.amath.unc.edu/SCC/sep_26_2003.html Program by Sorin Mitran to solve the 1D Euler equations using Harten's multiresolution algorithm.
	Introduction to Convective Heat Transfer Analysis - http://www.ryerson.ca/~dnaylor/programs.htm Fortran 77 programs from book by P.H. Oosthuizen and D. Naylor.
	Public Codes -- Scott R. Fulton - http://people.clarkson.edu/~fulton/codes/ Fortran 77 codes to solve partial differential equations via the multigrid method.
	Boundary Element Method - http://www.boundary-element-method.com/ Fortran 77 codes to solve the Laplace and Helmoltz equations.

	Computational Methods for Fluid Dynamics - ftp://ftp.springer.de/pub/technik/peric Code from book by J.H. Ferziger and M.Peric.
	FD - http://seis.karlov.mff.cuni.cz/software/sw3dcd5/fd/fd.htm Fortran 77 package by Jiri Zahradnik for 2-D P-SV elastic second-order finite differences.
	SPRINT - http://www.scs.leeds.ac.uk/cpde/SPRINT1.html 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.
	Parallel Multi-domain Decomposition - http://www.idris.fr/data/publications/PMD/PMD.html Parallel Fortran 90 module to solve positive-definite elliptic linear second-order operator systems.

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