Bøger i Frontiers in Applied Mathematics serien

This book provides an introduction to the immersed interface method (IIM).

The emergence of complex enhanced recovery procedures in the field of hydrocarbon extraction techniques has emphasized the need for sophisticated mathematical tools, capable of modeling intricate chemical and physical phenomena. This volume explains which problems need to be addressed, why they are difficult, what has been done previously, and which new techniques possess potential.

A carefully edited collection of papers that addresses the development of multigrid methods on several levels.

The author captures the interplay between mathematics and the design of effective numerical algorithms - a critical connection as more advanced machines become available. He uses a stylized Matlab notation which will be familiar to those engaged in high-performance computing.

Presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality.

Provides a modern view of iterative methods for solving linear and nonlinear equations, which are the basis for many of the models of phenomena in science and engineering. The text provides motivating examples mainly from boundary value problems with partial differential equations, and many of the chapters contain links to MATLAB code.

This book allows you to understand fully the modern tools of numerical analysis in finance.

Focuses on the analysis of iterative methods for solving linear systems.

Collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror.