An Introduction to Numerical Methods for the Physical Sciences (Synthesis Lectures on Engineering, Science, and Technology)

Whelan, Colm T.

Springer International Publishing AG（2020/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 148 p.
• 言語 ENG
• 商品コード 9783031009570

Full Description

There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions. There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.

Contents

Preface.- Preliminaries.- Some Elementary Results.- The Numerical Solution of Ordinary Differential Equations.- Case Study: Damped and Driven Oscillations.- Numerical Linear Algebra.- Polynomial Approximations.- Sturm--Liouville Theory.- Case Study: The Quantum Oscillator.- Variational Principles.- Case Study: The Ground State of Atoms.- Bibliography.- Author's Biography.- Index .