Method of solution of partial differential equations, including separation of variables, Fourier series, and Laplace transforms. Selected topics in linear algebra, vector analysis, and calculus of ...

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 ...

The method of characteristics for solving first order quasilinear equations will be discussed. The three main types of linear second order partial differential equations will be considered: parabolic ...

Analysis of Partial Differential Equations Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and ...

Catalog : MATH.4450 Partial Differential Equations (Formerly 92.445) Id: 008325 Credits Min: 3 Credits Max: 3 Description Linear and quasilinear first order PDE. The method of characteristics.

MATH.2360 — Online and Continuing Education Id: 008290 Offering: 2 Credits: 3-3 Description Introduction to differential equations with an emphasis on engineering applications. Topics include ...

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 ...

After translating some of math’s complicated equations, researchers have created an AI system that they hope will answer even bigger questions.

Waveguide-based structures can solve partial differential equations by mimicking elements in standard electronic circuits. This novel approach, developed by researchers at Newcastle University in the ...

The honor, like a Nobel Prize for mathematics, was given this year to Luis Caffarelli for his work on partial differential equations.