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An Introduction to Numerical Methods for the Physical Sciences


An Introduction to Numerical Methods for the Physical Sciences


Synthesis Lectures on Engineering, Science, and Technology 1. Aufl.

von: Colm T. Whelan

47,99 €

Verlag: Morgan & Claypool Publishers
Format: PDF
Veröffentl.: 09.07.2020
ISBN/EAN: 9781681738734
Sprache: englisch
Anzahl Seiten: 166

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Beschreibungen

<b>There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.</b> 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.
<ul>
<li>Preface</li>
<li>Preliminaries</li>
<li>Some Elementary Results</li>
<li>The Numerical Solution of Ordinary Differential Equations</li>
<li>Case Study: Damped and Driven Oscillations</li>
<li>Numerical Linear Algebra</li>
<li>Polynomial Approximations</li>
<li>Sturm--Liouville Theory</li>
<li>Case Study: The Quantum Oscillator</li>
<li>Variational Principles</li>
<li>Case Study: The Ground State of Atoms</li>
<li>Bibliography</li>
<li>Author's Biography</li>
<li>Index</li>
</ul>

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