An introduction to numerical methods for the physical sciences / Colm T. Whelan, Old Dominion University.

Format:

Book

Author/Creator:

Whelan, Colm T., Author.

Series:

Synthesis lectures on engineering, science, and technology ; 8.

Synthesis Lectures on Engineering, Science, and Technology, 2690-0327

Language:

English

Subjects (All):

Sequences (Mathematics).

Physical Description:

1 online resource (xvii, 148 pages) : illustrations (some color), charts.

Edition:

1st ed. 2020.

Place of Publication:

Switzerland : Springer Nature, [2022]

Summary:

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 .

Notes:

Includes bibliographical references and index.

ISBN:

9783031020858

3031020855

OCLC:

1351985703