Basic theory for three classical equations of mathematical physics (in all spatial dimensions): the wave equation, the heat/diffusion equation, the Laplace/Poisson equation. Initial value problems - ...

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 ...

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

I work in differential geometry and the application of geometry to the study of partial differential equations. Specifically, my work has focused on conservation laws, Backlund transformations, ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

My research interests are in applied and computational mathematics. I am interested in developing and analyzing high-order numerical methods for solving partial differential equations and fractional ...

I am interested in spatial stochastic models, in particular in diffusions, branching diffusions, superprocesses, and processes in random media. Certain linear and nonlinear partial differential ...

Comprised of internationally recognized researchers, the Department of Mathematics faculty specializes in several areas of mathematics, including mathematical biology, combinatorics, matrix and ...

Departmental research interests include: mathematical biology, applied dynamical systems, combinatorics, matrix and operator theory, geometry, optics, inverse problems, probability, numerical analysis ...

In math and computer science, researchers have long understood that some questions ... Two new approaches allow deep neural networks to solve entire families of partial differential equations, making ...