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Top > Science > Math > Differential Equations 


Project BASEL  Web based tool for finding and graphing numerical approximations to ODE's. Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses  Online course material XMorphia  A set of graphics and notes intended to show how complex patterns can arise from simple differential equations. GetDP (a General environment for the treatment of Discrete Problems)  A scientific software environment for the numerical solution of integrodifferential 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, ...). MGNet  Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. 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. The Heat Equation  An interactive page illustrating solutions of the onedimensional heat equation. The Animated Telegraph equation  This demonstration illustrates the behaviour of solutions of the telegraph equation Differential Equations in Industry and Commerce  European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics. arXiv Front: AP Analysis of PDEs  PDEs section of the mathematics eprint arXiv. C*ODE*E  Consortium of ODE Experiments. Newsletter, graphics, links Computational PDEs Unit  School of Computing, University of Leeds. Research details, publications, software and resources. Numerical Methods for Partial Differential Equations  Methods such as finite differences, finite elements, fast Fourier transforms, MonteCarlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, BlackScholes, Burger, KortewegDeVries and the Schroedinger equations. Differential Equations in Banach Algebras  Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. Stripf's Homepage  A Java Applet to illustrate and solve initial value problems. Uses different numerical methods (e.g. RungeKutta) that can be compared to each other. Math Unit III: More on the derivative and differential equations  Exact definition of derivation and calculating the relationship of derivatives of related functions. Osaka University  PDEAnalysis research group. Organises the East Asia Symposium on PDE. PRIDE  Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. Analytic Solution for the Burgers Equation  Provides the general analytic solution for the Burgers equation in the form of a 4D 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. ODEcalc an ODE calculator!  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 & BVP. Table of Laplace Transforms  This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. 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 RungeKata and Newton's method. Kevin Brown's Calculus and DiffEq Notes  Many topics on differential equations are covered including the Laplace Transform.

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