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An Introduction to Numerical Methods for the Physical Sciences / by Colm T. Whelan.
- Format:
- Book
- Author/Creator:
- Whelan, Colm T., Author.
- Series:
- Synthesis Lectures on Engineering, Science, and Technology, 2690-0327
- Language:
- English
- Subjects (All):
- Engineering design.
- Materials.
- Professional education.
- Vocational education.
- Engineering Design.
- Materials Engineering.
- Professional and Vocational Education.
- Local Subjects:
- Engineering Design.
- Materials Engineering.
- Professional and Vocational Education.
- Physical Description:
- 1 online resource (XVII, 148 p.)
- Edition:
- 1st ed. 2020.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2020.
- 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 .
- ISBN:
- 9783031020858
- 3031020855
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