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Differential Equations (180)
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» Analytic Differential Equations 
Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf
Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf
» 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
http://home.comcast.net/~cmdaven/burgers.htm
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
http://home.comcast.net/~cmdaven/burgers.htm
» 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.
http://home.comcast.net/~cmdaven/korteweg.htm
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.
http://home.comcast.net/~cmdaven/korteweg.htm
» Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
Online course material
http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
Online course material
http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
» C*ODE*E Archive
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
http://www.math.hmc.edu/resources/odes/codee/
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
http://www.math.hmc.edu/resources/odes/codee/
» Complex Analysis and Dynamics
Various lecture notes by C. McMullen
http://www.math.harvard.edu/~ctm/courses.html
Various lecture notes by C. McMullen
http://www.math.harvard.edu/~ctm/courses.html
» Computational PDEs Unit
School of Computing, University of Leeds. Research details, publications, software and resources.
http://www.scs.leeds.ac.uk/cpde/
School of Computing, University of Leeds. Research details, publications, software and resources.
http://www.scs.leeds.ac.uk/cpde/
» Differential Equations
Postscript notes on various topics in differential equations by Bruce Ikenaga.
http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html
Postscript notes on various topics in differential equations by Bruce Ikenaga.
http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html
» Differential Equations in Banach Algebras
Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
http://www.gwfa.de/math/Fuchs_1996.pdf
Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
http://www.gwfa.de/math/Fuchs_1996.pdf
» Differential Equations in Industry and Commerce
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
http://www2.maths.ox.ac.uk/ociam/TMR/
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
http://www2.maths.ox.ac.uk/ociam/TMR/
» Differential Equations in a Nutshell
An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs.
http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf
An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs.
http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf
» 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.
http://www.sci.hkbu.edu.hk/mscsc/dissert/billy/node1.html
A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy.
http://www.sci.hkbu.edu.hk/mscsc/dissert/billy/node1.html
» 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
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
» 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
http://www.geuz.org/getdp/
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
http://www.geuz.org/getdp/
» Green's Function Library
Collection of Green's function solutions to canonical differential equations.
http://www.engr.unl.edu/~glibrary/
Collection of Green's function solutions to canonical differential equations.
http://www.engr.unl.edu/~glibrary/
» Green's Function Theory
A set of lecture notes on Green's functions and their applications.
http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html
A set of lecture notes on Green's functions and their applications.
http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html
» 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
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
» 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.ohio-state.edu/~gerlach/math/BVtypset/node2.html
A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html
» MGNet
Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
http://www.mgnet.org/
Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
http://www.mgnet.org/
» MathPages: Calculus and DiffEq Notes
Kevin Brown's compilation of postings including many topics in differential equations.
http://www.mathpages.com/home/icalculu.htm
Kevin Brown's compilation of postings including many topics in differential equations.
http://www.mathpages.com/home/icalculu.htm
» 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.
http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm
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/Navier-Stokes/nstokes.htm
» 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/
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/
» Ordinary Differential Equations
Course notes by Klaus Schmitt at the University of Utah.
http://www.math.utah.edu/~schmitt/math6410.html
Course notes by Klaus Schmitt at the University of Utah.
http://www.math.utah.edu/~schmitt/math6410.html
» 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
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
» Partial Differential Equations
Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm
Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm
» Table of Laplace Transforms
This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
http://www.vibrationdata.com/Laplace.htm
This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
http://www.vibrationdata.com/Laplace.htm
» The Animated Telegraph equation
This demonstration illustrates the behaviour of solutions of the telegraph equation
http://www.math.ubc.ca/~feldman/demos/demo8.html
This demonstration illustrates the behaviour of solutions of the telegraph equation
http://www.math.ubc.ca/~feldman/demos/demo8.html
» The Polar Representation Theorem
An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon.
http://gfm.cii.fc.ul.pt/people/jrezende/jr_polar-repr.pdf
An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon.
http://gfm.cii.fc.ul.pt/people/jrezende/jr_polar-repr.pdf
» The World of Mathematical Equations
Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
http://eqworld.ipmnet.ru/
Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
http://eqworld.ipmnet.ru/
» Weak and Variational Forms of Poisson's Equation
A set of lecture notes on Poisson's equation.
http://www.colorado.edu/engineering/cas/courses.d/AFEM.d/AFEM.Ch03.d/AFEM.Ch03.pdf
A set of lecture notes on Poisson's equation.
http://www.colorado.edu/engineering/cas/courses.d/AFEM.d/AFEM.Ch03.d/AFEM.Ch03.pdf
» arXiv Front: AP Analysis of PDEs
PDEs section of the mathematics e-print arXiv.
http://front.math.ucdavis.edu/math.AP
PDEs section of the mathematics e-print arXiv.
http://front.math.ucdavis.edu/math.AP
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Last Updated: 2009-07-30 12:27:59
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