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.