Introduction This is a repository for information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. These methods are used primarily by scientists and engineers to solve partial differential equations on serial or parallel computers. Multigrid has the property of using linear time and space to solve a collection of interesting ...
Computational PDEs Unit School of Computing, University of Leeds Welcome to the Home Page of the Computational PDEs Unit in the School of Computing, University of Leeds, UK. Introduction People Projects Publications Software Seminars Links The CPDE Unit can be contacted via Dr Roger Fairlie Email rogerf@comp.leeds.ac.uk Telephone 0113 233 5324 +44 113 233 5324 Post Computational PDEs Unit School ...
GetDP: a General Environment for the Treatment of Discrete Problems Patrick Dular and Christophe Geuzaine Version 0.85, 21 January 2002 Description GetDP is a scientific computation software for the numerical solution of integro-differential equations, using finite element and integral type methods. The main feature of GetDP is the closeness between the input data defining discrete problems ...
Introduction (Next Section) Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equations Courses Robert L. Devaney Introduction Qualitative approach to autonomous equations. The phase line and the graph of the vector field. Classification of equilibrium points. Bifurcations An application: harvesting Robert L. Devaney May 6, 1995 ...
math.bu.edu/DYSYS/ode-bif/ode-bif.html
TMR Network for Differential Equations in Industry and Commerce ...
www.maths.ox.ac.uk/ociam/TMR
Calculus and Differential Equations The Laplace Equation and Harmonic Functions Curvature, Intrinsic and Extrinsic Radial Paths in Schwarzschild Spacetime Analytic Functions, The Magnus Effect, and Wings Integrating the Bell Curve Compressor Stalls and Mobius Transformations Dual Failures with General Densities Phase, Group, and Signal Velocity Series Solutions of the Wave Equation The Limit ...
www.mathpages.com/home/icalculu.htm
The Animated Telegraph Equation This demonstration illustrates the behaviour of solutions of the telegraph equation u_{tt} +(a+b)u_t+abu= c^2 u_{xx} u(0, t) = 0 u(l, t) = 0 u(x, 0) = f(x) u_t(x, 0) = g(x) In this example c=1, l=10, the intial amplitude consists of one bump centered on x=3. The initial speed is chosen to be g(x) = -cf'(x) - (a+b)f(x)/2, so that, when there is no dispersion the bump ...
www.math.ubc.ca/~feldman/demos/demo8.html
14.08.01 ...
Welcome to Vibration Data Laplace Transform Table Laplace transforms are used to solve differential equations. As an example, Laplace transforms are used to determine the response of a harmonic oscillator to an input signal. Operation Transforms N F(s) f ( t ) , t 0 1.1 definition of a Laplace transform y(t) 1.2 Y(s) inversion formula 1.3 first derivative 1.4 second derivative 1.5 nth ...
www.vibrationdata.com/Laplace.htm
Green's Function Theory ...
www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html
Green's Functions Tutorial Introduction to Green's Functions The basic idea of a Green's function is very familiar to students of mathematical physics. However, most engineers are not typically exposed to the concept of a Green's function until possibly at the upper-graduate level. Green's functions play an important role in the solution of linear ordinary and partial differential equations, and ...
www.boulder.nist.gov/div853/greenfn/tutorial.html
Back to Contents! Next: Force Revisited Up: CONSERVING EQUATIONS Previous: CONSERVING EQUATIONS Math Unit III: More on the derivative and differential equations In the last unit, we discussed how mathematicians and scientists deal with quantities that change in ways other than linearly. The key idea turns out to be the rate of change of the quantity. The lowbrow way to measure the rate of change ...
dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html
Linear Methods of Applied Mathematics Evans M. Harrell II and James V. Herod* *(c) Copyright 1994, 1995, 1996 by Evans M. Harrell II and James V. Herod. All rights reserved. version of 1 June 1996 Finding Green functions for ordinary differential equations. We begin with the case of the first Fredholm alternative. If the equation is in this case, we are guaranteed that it has a unique solution - ...
www.mathphysics.com/pde/green/g15.html
Matthias Stripf''s personal web site & Kiwi Vocabulary Trainer ...
ODEcalc (tm): ODE 'Calculator' S/W ...
www.lanset.com/ecb/ODEcalc.htm
PRIDE 7/16/98 Click here to start Table of Contents PRIDE The PDE Method (I) The PDE Method (II) The PDE Method (III) The Hybrid Object Model (HOM) Constructing the HOM (I) Constructing the HOM (II) Constructing the HOM (III) Constructing the HOM (IV) Author: Rob Clother Email: rob@maths.leeds.ac.uk Home Page: http://www.maths.leeds.ac.uk/Applied/CAGD.dir/CAGD.html Best experienced with Click ...
www.amsta.leeds.ac.uk/Applied/CAGD.dir/PRIDE/index.htm
