Covers finite difference, finite element, finite volume, pseudo-spectral, and spectral methods for elliptic, parabolic, and hyperbolic partial differential equations. Prereq., APPM 5600. Recommended ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve.

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Xicheng Zhang, STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS DRIVEN BY LÉVY PROCESSES AND QUASI-LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS, The Annals of Applied Probability, Vol. 22, No. 6 ...

Our goal in this paper is to make this literature accessible to experimentally ecologists. Partial differential equations are used to model a variety of ecological phenomena; here we discuss dispersal ...