Inverse problems, central to modern applied mathematics, involve deducing unknown parameters or functions in differential equations from observed spectral data. This field is pivotal in understanding ...

Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...

Mathematics of Computation, Vol. 87, No. 309 (January 2018), pp. 237-259 (23 pages) Abstract This paper is concerned with computations of a few smallest eigenvalues (in absolute value) of a large ...

We describe a new Chebyshev spectral collocation method for systems of variablecoefficient linear delay differential equations with a single fixed delay. Computable uniform a posteriori bounds are ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

Introduces linear algebra and matrices with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses vector space ...

Numerical linear algebra, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Prereq., APPM 5600 or MATH 5600. Prerequisites: Restricted to Graduate Students ...