Courses 1
Education 6
Events 44
Journals 6
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Software 7
Difference Equations 6
Dynamical Systems 68
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Mathematical Physics - Physics, Science 213
 Analytic Differential EquationsAnalytic Differential Equations
 Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. [PDF]
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Analytic Solution for the Burgers EquationAnalytic 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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Analytical solution for the Korteweg-de Vries equationAnalytical solution for the Korteweg-de Vries equation
 Provides the general analytic solution for the KdV equation. In one function, the result models traveling wavetrains, solitary spikes (solitons), and sech-form long waves.
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The Animated Telegraph equationThe Animated Telegraph equation
 This demonstration illustrates the behaviour of solutions of the telegraph equation
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arXiv Front: AP Analysis of PDEsarXiv Front: AP Analysis of PDEs
 PDEs section of the mathematics e-print arXiv.
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Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation CoursesBifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
 Online course material
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C*ODE*E ArchiveC*ODE*E Archive
 Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
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Computational PDEs UnitComputational PDEs Unit
 School of Computing, University of Leeds. Research details, publications, software and resources.
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Difference Method for Numerical Approximation to Applied 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 Runge-Kata and Newton's method.
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Differential EquationsDifferential Equations
 Postscript notes on various topics in differential equations by Bruce Ikenaga.
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Differential Equations in a NutshellDifferential Equations in a Nutshell
 An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs. [PDF]
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Differential Equations in Banach AlgebrasDifferential Equations in Banach Algebras
 Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF]
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Differential Equations in Industry and CommerceDifferential Equations in Industry and Commerce
 European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
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Elliptic Problems with Concentrated LoadingElliptic 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 Sui-Yuen Billy.
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Finding Green's Functions for ODEsFinding 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.
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GetDP (a General environment for the treatment of Discrete Problems)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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Green's Function LibraryGreen's Function Library
 Collection of Green's function solutions to canonical differential equations.
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Green's Function TheoryGreen's Function Theory
 A set of lecture notes on Green's functions and their applications.
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Introduction to Green's FunctionsIntroduction 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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Linear Mathematics in Infinite DimensionsLinear Mathematics in Infinite Dimensions
 A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
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Math Unit III: More on the derivative and differential equationsMath Unit III: More on the derivative and differential equations
 Exact definition of derivation and calculating the relationship of derivatives of related functions.
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MathPages: Calculus and DiffEq NotesMathPages: Calculus and DiffEq Notes
 Kevin Brown's compilation of postings including many topics in differential equations.
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MGNetMGNet
 Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
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Navier-Stokes Type EquationsNavier-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 GlasgowNonlinear 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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Ordinary Differential EquationsOrdinary Differential Equations
 Course notes by Klaus Schmitt at the University of Utah.
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Partial Differential EquationsPartial Differential Equations
 "PDE Primer" by Ralph Showalter at Oregon State.
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Partial Differential EquationsPartial Differential Equations
 Maple lessons for an undergraduate course in Differential Equations by Jim Herod.
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Partial Differential EquationsPartial Differential Equations
 An overview of partial differential equations and their physical applications.
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Partial Differential EquationsPartial Differential Equations
 Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
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The Polar Representation TheoremThe 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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PRIDEPRIDE
 Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
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Table of Laplace TransformsTable 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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Weak and Variational Forms of Poisson's EquationWeak and Variational Forms of Poisson's Equation
 A set of lecture notes on Poisson's equation. [PDF]
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The World of Mathematical EquationsThe World of Mathematical Equations
 Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
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