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- 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.
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- C*ODE*E Archive - - Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
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- Computational PDEs Unit - - School of Computing, University of Leeds. Research details, publications, software and resources.
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- 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, ...).
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- 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.
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- MGNet - - Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
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- 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.
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- 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.
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- 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.
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- Osaka University - - PDE-Analysis research group. Organises the East Asia Symposium on PDE.
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- 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.
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- The Polar Representation Theorem - - An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format.
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- PRIDE - - Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
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- Table of Laplace Transforms - - This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
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