Open Directory - Science: Math: Differential Equations
See also: This category in other languages: - Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. [PDF] - 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. - 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. - Online course material - Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links. - Various lecture notes by C. McMullen - School of Computing, University of Leeds. Research details, publications, software and resources. - Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF] - A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod. - 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, ...). - Collection of Green's function solutions to canonical differential equations. - 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. - Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. - Kevin Brown's compilation of postings including many topics in differential equations. - Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation. - 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. - Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. - "PDE Primer" by Ralph Showalter at Oregon State. - Maple lessons for an undergraduate course in Differential Equations by Jim Herod. - Lecture notes on Analysis and PDEs by Bruce Driver at UCSD. - An overview of partial differential equations and their physical applications. - This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. - This demonstration illustrates the behaviour of solutions of the telegraph equation - An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. [PDF] - Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF. - A set of lecture notes on Poisson's equation. [PDF] - PDEs section of the mathematics e-print arXiv.
