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Top: Science: Math: Differential_Equations:
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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. Includes page about hypercomplex math.
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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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» The Polar Representation Theorem - An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. [PDF]
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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 includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
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