Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Numerical and Computational Mathematics is a discipline dedicated to the development and analysis of algorithms that provide approximate solutions to mathematical problems too complex for exact ...

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

This paper is devoted to the numerical solution of the axially symmetric linear sloshing problem. A mathematical model of linear sloshing in a tank filled by an inviscid incompressible liquid is ...

Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving ...