
 EqWorld, The World of
Mathematical Equations.
Extensive information on ordinary differential, partial
differential (mathematical physics), integral, functional, and
other mathematical equations. It gives exact solutions and outlines
solution methods, includes articles, gives links to math websites,
lists books, software, and more.
 Concepts 2.0.0
CONCEPTS is a C++ class library for solving elliptic partial
differential equations (PDEs) numerically.

Software Package for Adaptivity, Wavelets & Finite
Differences AWFD (Adaptivity, Wavelets & Finite
Differences) software package is a C++ class library for
wavelet/interpoletbased solvers for PDEs and integral
equations.
Department of Scientific Computing and Numerical Simulation,
University of Bonn, Germany
 Particle codes for 2D Coulombic and screened Coulombic
interactions
 Solvers for homogeneous boundary value problems in interior or
exterior multiply connected domains with Dirichlet or Neumann
conditions: (Laplace and modified Helmholtz equations)
 Solvers for inhomogeneous boundary value problems in interior
or exterior multiply connected domains with Dirichlet or Neumann
conditions: (Poisson and modified Helmholtz equations)
 A test set for
initial value problems in ODEs and DAEs (formerly the well
known Amsterdam test set) by the numerical analysis group in Bari
(Italy) coordinated by Francesca Mazzia The project is sponsored by
the Istituto Nazionale di Alta MatematicaRoma (INdAM) and the
University of Bari. The aim is to extend the present test set of
challenging problems and to include codes for other important
classes of differential equations.
A steering committee of A. Bellen, J. Cash, E. Hairer, F. Krogh, L.
Petzold, B. Simeon, G. Soderlind, D. Trigiante and P.J. van der
Houwen has been set up to oversee this project.
Comments for consideration by the committee can be sent to
Francesca Mazzia at the email address (testset@dm.uniba.it).
 SBVP1.0 a
MATLAB code (based on collocation) for the numerical solution of
singular boundary value problems for systems of ODEs with a
singularity of the first kind. Prof. Dr. Ewa B.
Weinmüller, Department of Applied Mathematics and Numerical
Analysis, Vienna University of Technology.
 Mimetic
Discretizations of Continuum Mechanics This page provides
information about mimetic discretizations of continuum mechanics
problems, including problems in fluid mechanics, solid mechanics
and electrodynamics. Please send proposed additions to this web
site to Stanly Steinberg (stanly@wendouree.org).
 Fortran
codes for the numerical solution of differential equations
including those of stiff/delay/differentialalgebraic types are
available courtesy of Ernst Hairer,
Université de Genève.
 Cactus, Parallel Code for
PDEs Cactus is a general, modular, parallel code for solving
systems of partial differential equations. The code has been
developmented over many years by a large international
collaboration of numerical relativity and computational science
research groups and can be used to provide a portable platform for
solving any system of partial differential equations. The code
compiles and runs on a variety of different platforms, from laptops
running Linux or NT to clusters of workstations, to large T3Es,
with no modifications needing to be made to the application
codes. cactusmaint@cactuscode.org
 Five New
Codes for Stiff ODEs and DAEs All of these codes are based
on the well known approach defined by Modified Extended Backward
Differentiation Formulae. (Including sparse solvers.) J. Cash, Imperial College.
 DAEPACK is
an acronym for DifferentialAlgebraic Equation Package, however,
its scope is not limited to the analysis of DAEs. DAEPACK is a
software library consisting of components for performing symbolic
and numeric computations on general Fortran90 models.
 PseudoPack
is a software library for numerical differentiation by
pseudospectral methods. ( Prof. Bruno Costa and Prof. Wai Sun Don)
 FIDISOL/CADSOL
"FIDISOL/CADSOL is a program package for the solution of partial
differential equations. 2 and 3dimensional systems of elliptic
(stationary) and parabolic (timedependent) 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 bodyoriented, 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." (Dr. Ruediger
Weiss, Universitaet Karlsruhe)
 Ordinary
Differential Equations: Fortran Codes (and some C codes)
produced for the text Hairer, Norsett
and Wanner (1993): Solving Ordinary Differential Equations.
Nonstiff Problems. 2nd edition. Springer Series in Comput. Math.,
vol. 8.
 Convectiondiffusion, Stokes and Oseen codes using SUPG
and Multigrid (written in Matlab) by David
Silvester (UMIST) and Howard Elman (Maryland).
 ELLPACK "ELLPACK is a very high level, portable
system for solving elliptic boundary value problems. One can solve
routine problems by simply writing them down and naming the methods
to be used. One can solve harder problems by using the problem
solving modules in the flexible ELLPACK framework. The ELLPACK
language is an easytolearn extension of Fortran: this provides
greatly reduced coding for most of the computation, but still
allows one to do special processing. ELLPACK incorporates over 50
problem solving modules, including some of the best and most
current software in the world. A knowledgeable user can even tailor
ELLPACK itself by adding new problem solving or analysis modules.
"
 CLAWPACK  A Software Package for Conservation
Laws "Clawpack contains software for solving hyperbolic systems
of conservation laws in 1 and 2 space dimensions. "
 Diffpack project  its goal is "...is to develop
a fully objectoriented framework for solution of partial
differential equations."
 DifEqu "...is a program designed for numerically solving
ordinary, functional and partial differential equations, difference
equations and do many more things. It can be used for solving
problems arising in mathematics, physics, chemistry, biology. The
program is most useful for teaching, doing research and creating
simulation.
 C*ODE*E : Consortium of ODE Experiments.
"The goal of the Consortium of ODE Experiments is to share the
rapidly growing wealth of computational instruction techniques with
as many teachers of differential equations as is possible."
"If you are interested in introducing computer experiments into
your ordinary differential equations course, your first decision
might be to choose a DE solving package.
 LASPack is a package for solving large sparse
systems of linear equations like those which arise from
discretization of partial differential equations.
 SLEIGN2  SturmLiouville Problems "The main purpose of
SLEIGN2 is to compute eigenvalues, eigenfunctions, and to
approximate the continuous spectrum of regular and singular
SturmLiouville (SL) problems. "
 LUGR:
Adaptivegrid methods for timedependent PDEs "LUGR methods
are meant for the efficient computation of rapidly varying temporal
and spatial solution transitions by automatic local grid
adaptation." (Dr J.G. Verwer Dr R.A. Trompert (now at the
faculty of Geophysics of the University of Utrecht).
trompert@geof.ruu.nl J.G. Blom, CWI, AMsterdam.)
 A
practical introduction to Matlab The tutorial is aimed at
students who have not used Matlab before. It explains the basics
features of Matlab in some detail, with examples, and points the
students to the more advanced features. Mark Gockenbach, Michigan
Technological University
 SOLVING DELAY
DIFFERENTIAL EQUATIONS IN MATLAB We have developed a MATLAB
program, dde23, that solves delay differential equations with
constant delays. It is a very capable solver that is exceptionally
easy to use. Included are a tutorial on using dde23, a manuscript
containing technical details, and a manuscript and a link about
event location. The programs run in Matlab 5.
L.F.
Shampine, Southern Methodist University, lshampin@mail.smu.edu
S. Thompson, Radford University, thompson@runet.edu
