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Differential Equations (200)

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Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Open in a new browser window  
   Online course material
   http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
GetDP (a General environment for the treatment of Discrete Problems) Open in a new browser window  
   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/
MGNet Open in a new browser window  
   Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
   http://www.mgnet.org/
Nonlinear Differential Equations at Glasgow Open in a new browser window  
   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/
The Animated Telegraph equation Open in a new browser window  
   This demonstration illustrates the behaviour of solutions of the telegraph equation
   http://www.math.ubc.ca/~feldman/demos/demo8.html
Differential Equations in Industry and Commerce Open in a new browser window  
   European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
   http://www.maths.ox.ac.uk/ociam/TMR/
arXiv Front: AP Analysis of PDEs Open in a new browser window  
   PDEs section of the mathematics e-print arXiv.
   http://front.math.ucdavis.edu/math.AP
Computational PDEs Unit Open in a new browser window  
   School of Computing, University of Leeds. Research details, publications, software and resources.
   http://www.scs.leeds.ac.uk/cpde/
Numerical Methods for Partial Differential Equations Open in a new browser window  
   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 Schroed
   http://www.fusion.kth.se/courses/pde
Math Unit III: More on the derivative and differential equations Open in a new browser window  
   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
PRIDE Open in a new browser window  
   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
Analytic Solution for the Burgers Equation Open in a new browser window  
   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.usit.net/~cmdaven/burgers.htm
Table of Laplace Transforms Open in a new browser window  
   This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
   http://www.vibrationdata.com/Laplace.htm
Difference Method for Numerical Approximation to Applied Differential Equations. Open in a new browser window  
   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 met
   http://www.geocities.com/b_ward.rm/na.html
MathPages: Calculus and DiffEq Notes Open in a new browser window  
   Kevin Brown's compilation of postings including many topics in differential equations.
   http://www.mathpages.com/home/icalculu.htm
Elliptic Problems with Concentrated Loading Open in a new browser window  
   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
Finding Green's Functions for ODEs Open in a new browser window  
   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
Introduction to Green's Functions Open in a new browser window  
   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
Weak and Variational Forms of Poisson's Equation Open in a new browser window  
   A set of lecture notes on Poisson's equation. [PDF Format]
   http://caswww.colorado.edu/courses.d/AFEM.d/AFEM.Ch03.d/AFEM.Ch03.pdf
Green's Function Theory Open in a new browser window  
   A set of lecture notes on Green's functions and their applications.
   http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html
Linear Mathematics in Infinite Dimensions Open in a new browser window  
   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
Partial Differential Equations Open in a new browser window  
   An overview of partial differential equations and their physical applications.
   http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html
The Polar Representation Theorem Open in a new browser window  
   An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format.
   http://gfm.cii.fc.ul.pt/Members/jr_polar-repr.pdf
PDEase2D 3.0 Open in a new browser window  
   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
Navier-Stokes Type Equations Open in a new browser window  
   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
Analytical solution for the Korteweg-de Vries equation Open in a new browser window  
   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
XMorphia Open in a new browser window  
   A set of graphics and notes intended to show how complex patterns can arise from simple differential equations.
   http://www.cacr.caltech.edu/ismap/image.html
Differential Equations in Banach Algebras Open in a new browser window  
   Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF]
   http://www.gwfa.de/math/Fuchs_1996.pdf
ODEcalc Open in a new browser window  
   An ordinary differential equation (ODE) calculator. State your equation and boundary or initial value conditions and it solves your problem. Plots solution, y, and derivative, ydot, versus x. Solves nth order ODE as IVP and BVP.
   http://www.digitalcalculus.com/demos/ODEcalc/
Stripf's Homepage Open in a new browser window  
   A Java Applet to illustrate and solve initial value problems. Uses different numerical methods (e.g. Runge-Kutta) that can be compared to each other.
   http://home.t-online.de/home/wstripf/
C*ODE*E Open in a new browser window  
   Consortium of ODE Experiments. Newsletter, graphics, links.
   http://www.math.hmc.edu/codee/main.html

Last Updated: 2005-02-07 07:36:39


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