Directory of Differential Equations Resources

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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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Resources in This Category

• Analytic Differential Equations

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

• arXiv Front: AP Analysis of PDEs

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

• Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses

  http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
  Online course material

• C*ODE*E Archive

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

• Complex Analysis and Dynamics

  http://www.math.harvard.edu/~ctm/courses.html
  Various lecture notes by C. McMullen

• Computational PDEs Unit

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

• Finding Green's Functions for ODEs

  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.

• GetDP (a General environment for the treatment of Discrete Problems)

  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, ...).

• Green's Function Library

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

• MathPages: Calculus and DiffEq Notes

  http://www.mathpages.com/home/icalculu.htm
  Kevin Brown's compilation of postings including many topics in differential equations.

• MGNet

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

• Navier-Stokes Type Equations

  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.

• Nonlinear Differential Equations at Glasgow

  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.

• Partial Differential Equations

  http://www.math.oregonstate.edu/~show/docs/pde.html
  "PDE Primer" by Ralph Showalter at Oregon State.

• Partial Differential Equations

  http://www.mapleapps.com/powertools/pdes/pdes.shtml
  Maple lessons for an undergraduate course in Differential Equations by Jim Herod.

• Partial Differential Equations

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

• Partial Differential Equations

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

• PRIDE

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

• Table of Laplace Transforms

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

• The Animated Telegraph equation

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

• The Polar Representation Theorem

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

• The World of Mathematical Equations

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

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