The numerical solution of differential and integral equations is a crucial area of research in applied mathematics and engineering. These equations are fundamental in modeling various physical ...

Numerical methods for hyperbolic partial differential equations (PDEs) are essential tools in various fields, including fluid dynamics, meteorology, and engineering. These methods are designed to ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

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

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a ... to illustrate the broad applicability of numerical methods. Students will be expected to ...