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Differential equations relate functions of several variables to derivatives of the functions. Such equations are often used in the sciences to relate a quantity to its rate of change.
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The World of Mathematical Equations - Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF. MGNet - Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses - Online course material 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, ...). 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. The Animated Telegraph equation - This demonstration illustrates the behaviour of solutions of the telegraph equation arXiv Front: AP Analysis of PDEs - PDEs section of the mathematics e-print arXiv. Computational PDEs Unit - School of Computing, University of Leeds. Research details, publications, software and resources. PRIDE - Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. Table of Laplace Transforms - This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. MathPages: Calculus and DiffEq Notes - Kevin Brown's compilation of postings including many topics in differential equations. 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. Navier-Stokes Type Equations - Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation. Green's Function Library - Collection of Green's function solutions to canonical differential equations. Analytic Differential Equations - Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. Partial Differential Equations - "PDE Primer" by Ralph Showalter at Oregon State. Partial Differential Equations - Maple lessons for an undergraduate course in Differential Equations by Jim Herod. Partial Differential Equations - Lecture notes on Analysis and PDEs by Bruce Driver at UCSD. Partial Differential Equations - An overview of partial differential equations and their physical applications. The Polar Representation Theorem - An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. Complex Analysis and Dynamics - Various lecture notes by C. McMullen C*ODE*E Archive - Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
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