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Differential Equations
Directory > Science > Math > Differential Equations
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  Online course material |
An overview of partial differential equations and their physical applications. |
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics. |
Course notes by Klaus Schmitt at the University of Utah. |
A set of lecture notes on Poisson's equation. |
Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. |
School of Computing, University of Leeds. Research details, publications, software and resources. |
Kevin Brown's compilation of postings including many topics in differential equations. |
Various lecture notes by C. McMullen |
This demonstration illustrates the behaviour of solutions of the telegraph equation |
A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod. |
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. |
An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs. |
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links. |
Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation. |
This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. |
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. |
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. Includes page about hypercomplex math. |
Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. |
Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. |
Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF. |
Collection of Green's function solutions to canonical differential equations. |
Lecture notes on Analysis and PDEs by Bruce Driver at UCSD. |
"PDE Primer" by Ralph Showalter at Oregon State. |
Exact definition of derivation and calculating the relationship of derivatives of related functions. |
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, ...). |
Maple lessons for an undergraduate course in Differential Equations by Jim Herod. |
A set of lecture notes on Green's functions and their applications. |
A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics. |
PDEs section of the mathematics e-print arXiv. |
A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy. |
An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. |
Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. |
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. |
Postscript notes on various topics in differential equations by Bruce Ikenaga. |
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