Differential Equations (Math)

Differential Equations further on these related pages:

Courses Difference Equations Dynamical Systems Education

Events Journals People Software

Top/Science/Math/Calculus Top/Science/Physics/Mathematical Physics

Differential Equations Sites:

Introduction to Green's Functions 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. (Differential Equations) http://www.boulder.nist.gov/div853/greenfn/tutorial.html Table of Laplace Transforms Table of Laplace Transforms: This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. (Differential Equations) http://www.vibrationdata.com/Laplace.htm Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses: Online course material (Differential Equations) http://math.bu.edu/DYSYS/ode-bif/ode-bif.html Navier-Stokes Type Equations 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) http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm Numerical Methods for Partial Differential Equations Numerical Methods for Partial Differential Equations: Methods such as finite differences, finite elements, fast Fourier transforms, Monte-Carlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroed (Differential Equations) http://www.fusion.kth.se/courses/pde XMorphia XMorphia: A set of graphics and notes intended to show how complex patterns can arise from simple differential equations. (Differential Equations) http://www.cacr.caltech.edu/ismap/image.html MathPages: Calculus and DiffEq Notes MathPages: Calculus and DiffEq Notes: Kevin Brown's compilation of postings including many topics in differential equations. (Differential Equations) http://www.mathpages.com/home/icalculu.htm Stripf's Homepage Stripf's Homepage: A Java Applet to illustrate and solve initial value problems. Uses different numerical methods (e.g. Runge-Kutta) that can be compared to each other. (Differential Equations) http://www.stripf.com PDEase2D 3.0 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. (Differential Equations) http://www.scientek.com/macsyma/pdmain.htm Green's Function Theory Green's Function Theory: A set of lecture notes on Green's functions and their applications. (Differential Equations) http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html MGNet MGNet: Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. (Differential Equations) http://www.mgnet.org/ Weak and Variational Forms of Poisson's Equation Weak and Variational Forms of Poisson's Equation: A set of lecture notes on Poisson's equation. [PDF Format] (Differential Equations) http://caswww.colorado.edu/courses.d/AFEM.d/AFEM.Ch03.d/AFEM.Ch03.pdf arXiv Front: AP Analysis of PDEs arXiv Front: AP Analysis of PDEs: PDEs section of the mathematics e-print arXiv. (Differential Equations) http://front.math.ucdavis.edu/math.AP Linear Mathematics in Infinite Dimensions 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. (Differential Equations) http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html Elliptic Problems with Concentrated Loading 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. (Differential Equations) http://www.sci.hkbu.edu.hk/msc/full/billy/billy.html Finding Green's Functions for ODEs 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. (Differential Equations) http://www.mathphysics.com/pde/green/g15.html Math Unit III: More on the derivative and 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. (Differential Equations) http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html Nonlinear Differential Equations at Glasgow 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. (Differential Equations) http://www.maths.gla.ac.uk/~ca/ Computational PDEs Unit Computational PDEs Unit: School of Computing, University of Leeds. Research details, publications, software and resources. (Differential Equations) http://www.scs.leeds.ac.uk/cpde/ The Animated Telegraph equation The Animated Telegraph equation: This demonstration illustrates the behaviour of solutions of the telegraph equation (Differential Equations) http://www.math.ubc.ca/~feldman/demos/demo8.html Analytic Solution for the Burgers Equation 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 (Differential Equations) http://home.usit.net/~cmdaven/burgers.htm Osaka University Osaka University: PDE-Analysis research group. Organises the East Asia Symposium on PDE. (Differential Equations) http://www.math.sci.osaka-u.ac.jp/handai_kaiseki/ The Polar Representation Theorem The Polar Representation Theorem: An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format. (Differential Equations) http://gfm.cii.fc.ul.pt/Members/jr_polar-repr.pdf PRIDE PRIDE: Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. (Differential Equations) http://www.amsta.leeds.ac.uk/Applied/CAGD.dir/PRIDE/index.htm Partial Differential Equations Partial Differential Equations: An overview of partial differential equations and their physical applications. (Differential Equations) http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html 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, bounda (Differential Equations) http://www.geuz.org/getdp/ Differential Equations in Banach Algebras Differential Equations in Banach Algebras: Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. (Differential Equations) http://members.aol.com/AlbrechtG4/math3.htm Analytical solution for the Korteweg-de Vries equation 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. (Differential Equations) http://home.usit.net/~cmdaven/korteweg.htm 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 met (Differential Equations) http://www.geocities.com/b_ward.rm/na.html Differential Equations in Industry and Commerce Differential Equations in Industry and Commerce: European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics. (Differential Equations) http://www.maths.ox.ac.uk/ociam/TMR/ ODEcalc 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. (Differential Equations) http://webs.lanset.com/ecb/ODEcalc.htm