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

SOLUTIONS OF A CLASS OF N-TH ORDER ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS VIA FRACTIONAL CALCULUS Shih-Tong Tu, 杜詩統, Wen-Chieh Luo, 羅光杰, Erh-Tsung Chin and 秦爾聰 Taiwanese Journal of Mathematics , ...

MECH.5200 — Graduate Id: 036063 Offering: 1 Credits: 3-3 Description Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

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 ...