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.
- http://www.cisl.ucar.edu/css/software/mudpack/

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.
- http://www.cisl.ucar.edu/css/software/fishpack/

FISHPACK90
- Efficient Fortran 90 subprograms for the solution of separable elliptic partial differential equations.
- http://www.cisl.ucar.edu/css/software/fishpack90/

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

BEARCLAW
- General-purpose software package in Fortran 90 for solving time dependent partial differential equations.
- http://www.amath.unc.edu/Faculty/mitran/bearclaw.html

CLAWPACK
- Computes numerical solutions to hyperbolic partial differential equations using a wave propagation approach.
- http://www.amath.washington.edu/~claw/

Computational Methods for Fluid Dynamics
- Code from book by J.H. Ferziger and M.Peric.
- ftp://ftp.springer.de/pub/technik/peric

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).
- http://sourceforge.net/projects/paramesh

Boundary Element Method
- Fortran 77 codes to solve the Laplace and Helmoltz equations.
- http://www.boundary-element-method.com/

Public Codes -- Scott R. Fulton
- Fortran 77 codes to solve partial differential equations via the multigrid method.
- http://people.clarkson.edu/~fulton/codes/

FUN2D/3D
- Describes a Fortran 95 code for solving the Navier-Stokes equation on a fully unstructured grid.
- http://fun3d.larc.nasa.gov/index.html

Multiresolution schemes
- Program by Sorin Mitran to solve the 1D Euler equations using Harten's multiresolution algorithm.
- http://www.amath.unc.edu/SCC/sep_26_2003.html

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

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

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

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.
- http://math.nist.gov/phaml/

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
- http://www.scs.leeds.ac.uk/cpde/SPRINT1.html

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

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