An Introduction to Numerical Methods for the Physical Sciences

Paperback Engels 2020 9783031009570
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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.

Specificaties

ISBN13:9783031009570
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

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Inhoudsopgave

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 .

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        An Introduction to Numerical Methods for the Physical Sciences