- 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 fronts, and solitons. A page is included to explain the hypercomplex mathematics.
http://home.usit.net/~cmdaven/burgers.htm
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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.usit.net/~cmdaven/korteweg.htm
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- arXiv Front: AP Analysis of PDEs
PDEs section of the mathematics e-print arXiv.
http://front.math.ucdavis.edu/math.AP
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
Online course material
http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
(Added: Fri Mar 31 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- C*ODE*E Archive
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
http://www.math.hmc.edu/codee/
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Computational PDEs Unit
School of Computing, University of Leeds. Research details, publications, software and resources.
http://www.scs.leeds.ac.uk/cpde/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Difference Method for Numerical Approximation to Applied Differential Equations.
This page explains how to use the difference formula of differentials to approximate the differential equations for applied systems. This method is used when analytical techniques are unavailable or cause computers to spit out garbage. This difference method is very similar to the Runge-Kata and Newton's method.
http://www.geocities.com/b_ward.rm/na.html
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Differential Equations in Industry and Commerce
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
http://www.maths.ox.ac.uk/ociam/TMR/
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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/msc/full/billy/billy.html
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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, ...).
http://www.geuz.org/getdp/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Fri Mar 31 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Math Unit III: More on the derivative and differential equations
Exact definition of derivation and calculating the relationship of derivatives of related functions.
http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html
(Added: Sun Apr 02 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- MathPages: Calculus and DiffEq Notes
Kevin Brown's compilation of postings including many topics in differential equations.
http://www.mathpages.com/home/icalculu.htm
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- MGNet
Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
http://www.mgnet.org/
(Added: Thu Mar 30 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Numerical Methods for Partial Differential Equations
Methods such as finite differences, finite elements, fast Fourier transforms, Monte-Carlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroedinger equations.
http://www.fusion.kth.se/courses/pde
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Osaka University
PDE-Analysis research group. Organises the East Asia Symposium on PDE.
http://www.sigmath.es.osaka-u.ac.jp/suzuki/ea/ea_eng/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- Partial Differential Equations
An overview of partial differential equations and their physical applications.
http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- PDEase2D 3.0
Solves partial differential equations numerically by finite element analysis for use in such problems as heat transfer, reaction diffusion, solid and fluid mechanics, electromagnetics, groundwater flow, and quantum mechanics.
http://www.scientek.com/macsyma/pdmain.htm
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
- 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
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
Rate It
Review It
