# Differential Equations

- 1
- Analytic Differential Equations
- Page http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf
- Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. [PDF]

- 2
- Analytic Solution for the Burgers Equation
- Page http://home.comcast.net/~cmdaven/burgers.htm
- 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.

- 3
- Analytical solution for the Korteweg-de Vries equation
- Page http://home.comcast.net/~cmdaven/korteweg.htm
- 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.

- 4
- Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
- Page http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
- Online course material

- 5
- C*ODE*E Archive
- Page http://www.math.hmc.edu/resources/odes/codee/
- Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.

- 6
- Complex Analysis and Dynamics
- Page http://www.math.harvard.edu/~ctm/courses.html
- Various lecture notes by C. McMullen

- 7
- Computational PDEs Unit
- Page http://www.scs.leeds.ac.uk/cpde/
- School of Computing, University of Leeds. Research details, publications, software and resources.

- 8
- Finding Green's Functions for ODEs
- Page http://www.mathphysics.com/pde/green/g15.html
- A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod.

- 9
- GetDP (a General environment for the treatment of Discrete Problems)
- Page http://www.geuz.org/getdp/
- 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, ...).

- 10
- Green's Function Library
- Page http://www.engr.unl.edu/~glibrary/
- Collection of Green's function solutions to canonical differential equations.

- 11
- MGNet
- Page http://www.mgnet.org/
- Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.

- 12
- MathPages: Calculus and DiffEq Notes
- Page http://www.mathpages.com/home/icalculu.htm
- Kevin Brown's compilation of postings including many topics in differential equations.

- 13
- Navier-Stokes Type Equations
- Page http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm
- Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.

- 14
- Nonlinear Differential Equations at Glasgow
- Page http://www.maths.gla.ac.uk/~ca/
- 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.

- 15
- Partial Differential Equations
- Page http://www.math.oregonstate.edu/~show/docs/pde.html
- "PDE Primer" by Ralph Showalter at Oregon State.

- 16
- Partial Differential Equations
- Page http://www.cmth.ph.ic.ac.uk/people/a.mackinnon/Lectures/compphys/node24.html
- An overview of partial differential equations and their physical applications.

- 17
- Table of Laplace Transforms
- Page http://www.vibrationdata.com/Laplace.htm
- This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.

- 18
- The Animated Telegraph equation
- Page http://www.math.ubc.ca/~feldman/demos/demo8.html
- This demonstration illustrates the behaviour of solutions of the telegraph equation