This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) aris

This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental al

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving parti

This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades,

The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, pa