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Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
Online course material
math.bu.edu
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, ...).
www.geuz.org
Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
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.
www.maths.gla.ac.uk
The Animated Telegraph equation
This demonstration illustrates the behaviour of solutions of the telegraph equation
www.math.ubc.ca
Differential Equations in Industry and Commerce
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
www.maths.ox.ac.uk
arXiv Front: AP Analysis of PDEs
PDEs section of the mathematics e-print arXiv.
front.math.ucdavis.edu
School of Computing, University of Leeds. Research details, publications, software and resources.
www.scs.leeds.ac.uk
Math Unit III: More on the derivative and differential equations
Exact definition of derivation and calculating the relationship of derivatives of related functions.
dept.physics.upenn.edu
Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
www.amsta.leeds.ac.uk
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.
home.usit.net
This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
www.vibrationdata.com
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.
www.geocities.com
MathPages: Calculus and DiffEq Notes
Kevin Brown's compilation of postings including many topics in differential equations.
www.mathpages.com
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.
www.sci.hkbu.edu.hk