An Introduction to Numerical Methods for the Physical Sciences
Whelan, Colm T.
An Introduction to Numerical Methods for the Physical Sciences by Colm T. Whelan - 1st edition 2020 - 1 recurso en línea (XVII, 148 páginas) - Synthesis Lectures on Engineering Science and Technology 2690-0327 .
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.
9783031020858
10.1007/978-3-031-02085-8 doi
Sucesiones (Matemáticas)
QA292 / 2020 EB
An Introduction to Numerical Methods for the Physical Sciences by Colm T. Whelan - 1st edition 2020 - 1 recurso en línea (XVII, 148 páginas) - Synthesis Lectures on Engineering Science and Technology 2690-0327 .
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.
9783031020858
10.1007/978-3-031-02085-8 doi
Sucesiones (Matemáticas)
QA292 / 2020 EB