Web Directory

» Analytic Differential Equations
   Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
   http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf

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

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

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

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

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

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

» Differential Equations
   Postscript notes on various topics in differential equations by Bruce Ikenaga.
   http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html

» Differential Equations in Banach Algebras
   Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
   http://www.gwfa.de/math/Fuchs_1996.pdf

» Differential Equations in Industry and Commerce
   European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
   http://www2.maths.ox.ac.uk/ociam/TMR/

» Differential Equations in a Nutshell
   An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs.
   http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf

» Elliptic Problems with Concentrated Loading
   A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy.
   http://www.sci.hkbu.edu.hk/mscsc/dissert/billy/node1.html

» 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.
   http://www.mathphysics.com/pde/green/g15.html

» 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, bounda
   http://www.geuz.org/getdp/

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

» Green's Function Theory
   A set of lecture notes on Green's functions and their applications.
   http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html

» Introduction to Green's Functions
   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.
   http://www.boulder.nist.gov/div853/greenfn/tutorial.html

» Linear Mathematics in Infinite Dimensions
   A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
   http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html

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

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

» 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.
   http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm

» 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.
   http://www.maths.gla.ac.uk/~ca/

» Ordinary Differential Equations
   Course notes by Klaus Schmitt at the University of Utah.
   http://www.math.utah.edu/~schmitt/math6410.html

» PRIDE
   Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
   http://www.amsta.leeds.ac.uk/Applied/CAGD.dir/PRIDE/index.htm

» Partial Differential Equations
   Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
   http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm

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

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

» The Polar Representation Theorem
   An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon.
   http://gfm.cii.fc.ul.pt/people/jrezende/jr_polar-repr.pdf

» The World of Mathematical Equations
   Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
   http://eqworld.ipmnet.ru/

» Weak and Variational Forms of Poisson's Equation
   A set of lecture notes on Poisson's equation.
   http://www.colorado.edu/engineering/cas/courses.d/AFEM.d/AFEM.Ch03.d/AFEM.Ch03.pdf

» arXiv Front: AP Analysis of PDEs
   PDEs section of the mathematics e-print arXiv.
   http://front.math.ucdavis.edu/math.AP