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An Introduction to Numerical Methods for the Physical Sciences
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Artikel-Nr:
9783031009570
Veröffentl:
2020
Einband:
Paperback
Erscheinungsdatum:
09.07.2020
Seiten:
168
Autor:
Colm T. Whelan
Gewicht:
327 g
Format:
235x191x10 mm
Serie:
Synthesis Lectures on Engineering, Science, and Technology
Sprache:
Englisch
Beschreibung:
Colm T. Whelan is a Professor of Physics and an Eminent Scholar at Old Dominion University in Norfolk, Virginia. He received his Ph.D. in Theoretical Atomic Physics from the University of Cambridge in 1985 and was awarded an Sc.D. also from Cambridge in 2001. He is a Fellow of both the American Physical Society and the Institute of Physics (UK). He has over 30 years of experience in the teaching of physics.
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.
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 .