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Tytuł strony: Analytic Differential Equations
Opis strony: Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. [PDF]
Adres: http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf
Tytuł strony: Analytic Solution for the Burgers Equation
Opis strony: 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.
Adres: http://home.comcast.net/~cmdaven/burgers.htm
Tytuł strony: Analytical solution for the Korteweg-de Vries equation
Opis strony: 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.
Adres: http://home.comcast.net/~cmdaven/korteweg.htm
Tytuł strony: The Animated Telegraph equation
Opis strony: This demonstration illustrates the behaviour of solutions of the telegraph equation
Adres: http://www.math.ubc.ca/~feldman/demos/demo8.html
Tytuł strony: arXiv Front: AP Analysis of PDEs
Opis strony: PDEs section of the mathematics e-print arXiv.
Adres: http://front.math.ucdavis.edu/math.AP
Tytuł strony: Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
Opis strony: Online course material
Adres: http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
Tytuł strony: C*ODE*E Archive
Opis strony: Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
Adres: http://www.math.hmc.edu/codee/
Tytuł strony: Computational PDEs Unit
Opis strony: School of Computing, University of Leeds. Research details, publications, software and resources.
Adres: http://www.scs.leeds.ac.uk/cpde/
Tytuł strony: Difference Method for Numerical Approximation to Applied Differential Equations.
Opis strony: 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.
Adres: http://www.geocities.com/b_ward.rm/na.html
Tytuł strony: Differential Equations
Opis strony: Postscript notes on various topics in differential equations by Bruce Ikenaga.
Adres: http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html
Tytuł strony: Differential Equations in a Nutshell
Opis strony: An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs. [PDF]
Adres: http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf
Tytuł strony: Differential Equations in Banach Algebras
Opis strony: Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF]
Adres: http://www.gwfa.de/math/Fuchs_1996.pdf
Tytuł strony: Differential Equations in Industry and Commerce
Opis strony: European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
Adres: http://www2.maths.ox.ac.uk/ociam/TMR/
Tytuł strony: Finding Green's Functions for ODEs
Opis strony: A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod.
Adres: http://www.mathphysics.com/pde/green/g15.html
Tytuł strony: GetDP (a General environment for the treatment of Discrete Problems)
Opis strony: 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, ...).
Adres: http://www.geuz.org/getdp/
Tytuł strony: Green's Function Library
Opis strony: Collection of Green's function solutions to canonical differential equations.
Adres: http://www.engr.unl.edu/~glibrary/
Tytuł strony: Green's Function Theory
Opis strony: A set of lecture notes on Green's functions and their applications.
Adres: http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html
Tytuł strony: Introduction to Green's Functions
Opis strony: 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.
Adres: http://www.boulder.nist.gov/div853/greenfn/tutorial.html
Tytuł strony: Linear Mathematics in Infinite Dimensions
Opis strony: A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
Adres: http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html
Tytuł strony: Math Unit III: More on the derivative and differential equations
Opis strony: Exact definition of derivation and calculating the relationship of derivatives of related functions.
Adres: http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html
Tytuł strony: MathPages: Calculus and DiffEq Notes
Opis strony: Kevin Brown's compilation of postings including many topics in differential equations.
Adres: http://www.mathpages.com/home/icalculu.htm
Tytuł strony: MGNet
Opis strony: Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
Adres: http://www.mgnet.org/
Tytuł strony: Navier-Stokes Type Equations
Opis strony: Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.
Adres: http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm
Tytuł strony: Nonlinear Differential Equations at Glasgow
Opis strony: 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.
Adres: http://www.maths.gla.ac.uk/~ca/
Tytuł strony: Ordinary Differential Equations
Opis strony: Course notes by Klaus Schmitt at the University of Utah.
Adres: http://www.math.utah.edu/~schmitt/math6410.html
Tytuł strony: Partial Differential Equations
Opis strony: "PDE Primer" by Ralph Showalter at Oregon State.
Adres: http://www.math.oregonstate.edu/~show/docs/pde.html
Tytuł strony: Partial Differential Equations
Opis strony: Maple lessons for an undergraduate course in Differential Equations by Jim Herod.
Adres: http://www.mapleapps.com/powertools/pdes/pdes.shtml
Tytuł strony: Partial Differential Equations
Opis strony: An overview of partial differential equations and their physical applications.
Adres: http://www.cmth.ph.ic.ac.uk/people/a.mackinnon/Lectures/compphys/node24.html
Tytuł strony: Partial Differential Equations
Opis strony: Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
Adres: http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm
Tytuł strony: The Polar Representation Theorem
Opis strony: An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. [PDF]
Adres: http://gfm.cii.fc.ul.pt/people/jrezende/jr_polar-repr.pdf
Tytuł strony: PRIDE
Opis strony: Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
Adres: http://www.amsta.leeds.ac.uk/Applied/CAGD.dir/PRIDE/index.htm
Tytuł strony: Table of Laplace Transforms
Opis strony: This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
Adres: http://www.vibrationdata.com/Laplace.htm
Tytuł strony: The World of Mathematical Equations
Opis strony: Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
Adres: http://eqworld.ipmnet.ru/
Cytat dnia:
Trzy są sposoby zdobywania mądrości. Pierwszy to refleksja - to najbardziej szlachetny, następnie naśladowanie - jest on najłatwiejszy, a trzeci to doświadczenie - najbardziej gorzki ze wszystkich.
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