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An Introduction to Numerical Methods for the Physical Sciences [electronic resource] / by Colm T. Whelan.

By: Whelan, Colm T [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Engineering, Science, and Technology: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: XVII, 148 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031020858.Subject(s): Engineering design | Materials | Professional education | Vocational education | Engineering Design | Materials Engineering | Professional and Vocational EducationAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.0042 Online resources: Click here to access online
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 .
In: Springer Nature eBookSummary: 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.
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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 .

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.

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