GetDP (a General environment for the treatment of Discrete Problems):
A scientific software environment for the numerical solution of
integro-differential equations, open to the coupling of physical
problems (electromagnetic, acoustic, thermal, mechanical, ...) as
well as of numerical methods (finite element methods, boundary
element and integral methods, ...).
http://www.geuz.org/getdp/
MGNet:
Information related to multigrid, multilevel, multiscale,
aggregation, defect correction, and domain decomposition methods.
http://www.mgnet.org/
Nonlinear Differential Equations at Glasgow:
The site describes research activities of the differential equations
group in the mathematics department at the university of Glasgow,
UK, and provides some resources of a general nature.
http://www.maths.gla.ac.uk/~ca/
C*ODE*E:
Consortium of ODE Experiments. Newsletter, graphics, links
http://www.math.hmc.edu/codee/main.html
Computational PDEs Unit:
School of Computing, University of Leeds. Research details,
publications, software and resources.
http://www.scs.leeds.ac.uk/cpde/
Numerical Methods for Partial Differential Equations:
Methods such as finite differences, finite elements, fast Fourier
transforms, Monte-Carlo and Lagrangian schemes are discussed in 1D
to solve a variety of problems including the advection, diffusion,
Black-Scholes, Burger, Korteweg-DeVries and the Schroedinger
equations.
http://www.fusion.kth.se/courses/pde
Differential Equations in Banach Algebras:
Fuchsian Singularities of Linear Ordinary Differential Equations in
Banach Algebras. By Gerald Albrecht in Wuppertal.
http://members.aol.com/AlbrechtG4/math3.htm
Stripf's Homepage:
A Java Applet to illustrate and solve initial value problems. Uses
different numerical methods (e.g. Runge-Kutta) that can be compared
to each other.
http://www.stripf.com
Osaka University:
PDE-Analysis research group. Organises the East Asia Symposium on
PDE.
http://www.math.sci.osaka-u.ac.jp/handai_kaiseki/
PRIDE:
Products by Rapid Integrated Detailed Engineering. An application of
PDEs in engineering design.
http://www.amsta.leeds.ac.uk/Applied/CAGD.dir/PRIDE/index.htm
Analytic Solution for the Burgers Equation:
Provides the general analytic solution for the Burgers equation in
the form of a 4-D commutative hypercomplex function. The solution
exhibits the main dynamic features in a Burgers medium: propagation
of disturbances, shock waves, propagating state change fronts, and
solitons. A page is included to explain the hypercomplex
mathematics.
http://home.usit.net/~cmdaven/burgers.htm
Table of Laplace Transforms:
This page contains an extensive table of Laplace transforms. Laplace
transforms are used to solve certain differential equations.
http://www.vibrationdata.com/Laplace.htm
Difference Method for Numerical Approximation to Applied
Differential Equations.:
This page explains how to use the difference formula of
differentials to approximate the differential equations for applied
systems. This method is used when analytical techniques are
unavailable or cause computers to spit out garbage. This difference
method is very similar to the Runge-Kata and Newton's method.
http://www.geocities.com/b_ward.rm/na.html
MathPages: Calculus and DiffEq Notes:
Kevin Brown's compilation of postings including many topics in
differential equations.
http://www.mathpages.com/home/icalculu.htm
Elliptic Problems with Concentrated Loading:
A web text on the background to the extrapolation method for the
numerical solution of elliptic boundary value problems by Kwok Sui-Yuen
Billy.
http://www.sci.hkbu.edu.hk/msc/full/billy/billy.html
Finding Green's Functions for ODEs:
A brief but technical overview of methods of finding Green's
functions. By Evans M. Harrell II and James V. Herod.
http://www.mathphysics.com/pde/green/g15.html
Introduction to Green's Functions:
Green's functions play an important role in the solution of linear
ordinary and partial differential equations, and are a key component
to the development of boundary integral equation methods.
http://www.boulder.nist.gov/div853/greenfn/tutorial.html
Green's Function Theory:
A set of lecture notes on Green's functions and their applications.
http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html
Linear Mathematics in Infinite Dimensions:
A set of lecture notes on the mathematical framework that underlies
linear systems arising in physics, engineering and applied
mathematics.
http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html
Partial Differential Equations:
An overview of partial differential equations and their physical
applications.
http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html
The Polar Representation Theorem:
An article covering n-dimensional time-dependent linear Hamiltonian
systems. By Jorge Rezende from the University of Lisbon. In PDF
format.
http://gfm.cii.fc.ul.pt/Members/jr_polar-repr.pdf
PDEase2D 3.0:
Solves partial differential equations numerically by finite element
analysis for use in such problems as heat transfer, reaction
diffusion, solid and fluid mechanics, electromagnetics, groundwater
flow, and quantum mechanics.
http://www.scientek.com/macsyma/pdmain.htm
Navier-Stokes Type Equations and their Explicit Solutions:
Explicit solutions provided for Navier-Stokes type equations and
their relations to the heat equation, Burger's equation, and Euler's
equation.
http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm
ODEcalc:
An Ordinary Differential Equation (ODE) Calculator. State your
equation and boundary or initial value conditions and it solves your
problem. Plots solution, y, and derivative, ydot, versus x. Solves
nth order ODE as IVP & BVP.
http://webs.lanset.com/ecb/ODEcalc.htm
