Analytic Solution for the Burgers Equation Save
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...   

Analytical solution for the Korteweg-de Vries equation Save
Provides the general analytic solution for the KdV equation. In one function, the result models traveling wavetrains, solitary spikes (solitons), and sech-form long waves.
http://home.usit.net/~cmdaven/kortewe...   

Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Save
Online course material
http://math.bu.edu/DYSYS/ode-bif/ode-...   

C*ODE*E Archive Save
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
http://www.math.hmc.edu/codee/   

Computational PDEs Unit Save
School of Computing, University of Leeds. Research details, publications, software and resources.
http://www.scs.leeds.ac.uk/cpde/   

Difference Method for Numerical Approximation to Applied Differential Equations. Save
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...   

Differential Equations in Banach Algebras Save
Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
http://www.gwfa.de/math/Fuchs_1996.pdf   

Differential Equations in Industry and Commerce Save
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
http://www.maths.ox.ac.uk/ociam/TMR/   

Differential Equations in a Nutshell Save
An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs.
http://spot.pcc.edu/~ssimonds/m253/we...   

Elliptic Problems with Concentrated Loading Save
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/b...   

Finding Green's Functions for ODEs Save
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/...   

GetDP (a General environment for the treatment of Discrete Problems) Save
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/   

Green's Function Library Save
Collection of Green's function solutions to canonical differential equations.
http://www.engr.unl.edu/~glibrary/   

Green's Function Theory Save
A set of lecture notes on Green's functions and their applications.
http://www.math.ohio-state.edu/~gerla...   

Introduction to Green's Functions Save
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/gr...   

Linear Mathematics in Infinite Dimensions Save
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/~gerla...   

MGNet Save
Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
http://www.mgnet.org/   

Math Unit III: More on the derivative and differential equations Save
Exact definition of derivation and calculating the relationship of derivatives of related functions.
http://dept.physics.upenn.edu/courses...   

MathPages: Calculus and DiffEq Notes Save
Kevin Brown's compilation of postings including many topics in differential equations.
http://www.mathpages.com/home/icalcul...   

Navier-Stokes Type Equations Save
Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.
http://www.coolissues.com/mathematics...   

Nonlinear Differential Equations at Glasgow Save
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/   

PRIDE Save
Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
http://www.amsta.leeds.ac.uk/Applied/...   

Partial Differential Equations Save
An overview of partial differential equations and their physical applications.
http://www.sst.ph.ic.ac.uk/angus/Lect...   

Table of Laplace Transforms Save
This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
http://www.vibrationdata.com/Laplace.htm   

The Animated Telegraph equation Save
This demonstration illustrates the behaviour of solutions of the telegraph equation
http://www.math.ubc.ca/~feldman/demos...   

The Polar Representation Theorem Save
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_po...   

The World of Mathematical Equations Save
Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
http://eqworld.ipmnet.ru/   

Weak and Variational Forms of Poisson's Equation Save
A set of lecture notes on Poisson's equation. [PDF Format]
http://caswww.colorado.edu/courses.d/...   

arXiv Front: AP Analysis of PDEs Save
PDEs section of the mathematics e-print arXiv.
http://front.math.ucdavis.edu/math.AP   

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