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Partial Differential Equations
An overview of partial differential equations and their physical applications.
http://www.cmth.ph.ic.ac.uk/people/a.mackinnon/Lectures/compphys/node24.html
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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
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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/
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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
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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
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Complex Analysis and Dynamics
Various lecture notes by C. McMullen
http://www.math.harvard.edu/~ctm/courses.html
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