Directory > Science > Math > Differential Equations XMorphia 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 Reviews Rating: Not yet Rated
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Analytical solution for the Kortewegde Vries equation Provides the general analytic solution for the KdV equation. In one function, the result models traveling wavetrains, solitary spikes (solitons), and sechform long waves. http://home.usit.net/~cmdaven/korteweg.htm Reviews Rating: Not yet Rated
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ODEcalc 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. http://webs.lanset.com/ecb/ODEcalc.htm Reviews Rating: Not yet Rated
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NavierStokes 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. http://www.coolissues.com/mathematics/NavierStokes/nstokes.htm Reviews Rating: Not yet Rated
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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. http://www.scientek.com/macsyma/pdmain.htm Reviews Rating: Not yet Rated
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The Polar Representation Theorem An article covering ndimensional timedependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format. http://gfm.cii.fc.ul.pt/Members/jr_polarrepr.pdf Reviews Rating: Not yet Rated
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Partial Differential Equations An overview of partial differential equations and their physical applications. http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html Reviews Rating: Not yet Rated
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Linear Mathematics in Infinite Dimensions A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics. http://www.math.ohiostate.edu/~gerlach/math/BVtypset/node2.html Reviews Rating: Not yet Rated
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Green's Function Theory A set of lecture notes on Green's functions and their applications. http://www.math.ohiostate.edu/~gerlach/math/BVtypset/node59.html Reviews Rating: Not yet Rated
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Weak and Variational Forms of Poisson's Equation 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 Reviews Rating: Not yet Rated
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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. http://www.boulder.nist.gov/div853/greenfn/tutorial.html Reviews Rating: Not yet Rated
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Finding Green's Functions for ODEs 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 Reviews Rating: Not yet Rated
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Elliptic Problems with Concentrated Loading A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok SuiYuen Billy. http://www.sci.hkbu.edu.hk/msc/full/billy/billy.html Reviews Rating: Not yet Rated
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MathPages: Calculus and DiffEq Notes Kevin Brown's compilation of postings including many topics in differential equations. http://www.mathpages.com/home/icalculu.htm Reviews Rating: Not yet Rated
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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. http://www.geocities.com/b_ward.rm/na.html Reviews Rating: Not yet Rated
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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. http://www.vibrationdata.com/Laplace.htm Reviews Rating: Not yet Rated
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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. http://home.usit.net/~cmdaven/burgers.htm Reviews Rating: Not yet Rated
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PRIDE 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 Reviews Rating: Not yet Rated
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Osaka University PDEAnalysis research group. Organises the East Asia Symposium on PDE. http://www.math.sci.osakau.ac.jp/handai_kaiseki/ Reviews Rating: Not yet Rated
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Math Unit III: More on the derivative and differential equations 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 Reviews Rating: Not yet Rated
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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. http://www.stripf.com Reviews Rating: Not yet Rated
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Differential Equations in Banach Algebras Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. http://members.aol.com/AlbrechtG4/math3.htm Reviews Rating: Not yet Rated
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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. http://www.fusion.kth.se/courses/pde Reviews Rating: Not yet Rated
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Computational PDEs Unit School of Computing, University of Leeds. Research details, publications, software and resources. http://www.scs.leeds.ac.uk/cpde/ Reviews Rating: Not yet Rated
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arXiv Front: AP Analysis of PDEs PDEs section of the mathematics eprint arXiv. http://front.math.ucdavis.edu/math.AP Reviews Rating: Not yet Rated
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Differential Equations in Industry and Commerce European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics. http://www.maths.ox.ac.uk/ociam/TMR/ Reviews Rating: Not yet Rated
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The Animated Telegraph equation This demonstration illustrates the behaviour of solutions of the telegraph equation http://www.math.ubc.ca/~feldman/demos/demo8.html Reviews Rating: Not yet Rated
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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. http://www.maths.gla.ac.uk/~ca/ Reviews Rating: Not yet Rated
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MGNet Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. http://www.mgnet.org/ Reviews Rating: Not yet Rated
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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, ...). http://www.geuz.org/getdp/ Reviews Rating: Not yet Rated
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Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Online course material http://math.bu.edu/DYSYS/odebif/odebif.html Reviews Rating: Not yet Rated
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