Differential Equations Math

Differential Equations Math

Differential equations relate functions of several variables to derivatives of the functions. Such equations are often used in the sciences to relate a quantity to its rate of change.

Top: Science: Math: Differential Equations

See Also:

Green's Function Library - Collection of Green's function solutions to canonical 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 met
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.
MGNet - Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
arXiv Front: AP Analysis of PDEs - PDEs section of the mathematics e-print arXiv.
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 Sui-Yuen Billy.
Ordinary Differential Equations - Course notes by Klaus Schmitt at the University of Utah.
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
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.
Partial Differential Equations - An overview of partial differential equations and their physical applications.
Differential Equations - Postscript notes on various topics in differential equations by Bruce Ikenaga.
Table of Laplace Transforms - This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
The Polar Representation Theorem - An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. [PDF]
C*ODE*E Archive - Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
Differential Equations in a Nutshell - An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs. [PDF]
MathPages: Calculus and DiffEq Notes - Kevin Brown's compilation of postings including many topics in differential equations.
Math Unit III: More on the derivative and differential equations - Exact definition of derivation and calculating the relationship of derivatives of related functions.
PRIDE - Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
Green's Function Theory - A set of lecture notes on Green's functions and their applications.
Analytical 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.
Analytic Differential Equations - Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. [PDF]
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, bounda
Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses - Online course material
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.
Computational PDEs Unit - School of Computing, University of Leeds. Research details, publications, software and resources.
Complex Analysis and Dynamics - Various lecture notes by C. McMullen
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.
The World of Mathematical Equations - Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
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.
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.
Differential Equations in Banach Algebras - Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF]
Weak and Variational Forms of Poisson's Equation - A set of lecture notes on Poisson's equation. [PDF]

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