Finite Difference Computing with Exponential Decay Models

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study - an ordinary differential equation describing exponential decay processes - to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular. 

List of contents

Preface.- Algorithms and implementations.- Analysis.- Generalizations.- Models.- Scientific Software Engineering.- References.- Index. 

Additional text

“This text provides an overview of the basics of scientific computing. … the author provides an excellent introduction to the field of scientific computing via a consideration of physically relevant models. … This text is an excellent tool for teaching and ideal for readers who would like to enter the field, or reinforce prior knowledge.” (Charis Harley, zbMATH 1356.65188, 2017)

Report

"This text provides an overview of the basics of scientific computing. ... the author provides an excellent introduction to the field of scientific computing via a consideration of physically relevant models. ... This text is an excellent tool for teaching and ideal for readers who would like to enter the field, or reinforce prior knowledge." (Charis Harley, zbMATH 1356.65188, 2017)

Product details

• Authors: Hans Petter Langtangen
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 30.05.2018
• EAN: 9783319805733
• ISBN: 978-3-31-980573-3
• No. of pages: 200
• Dimensions: 178 mm x 255 mm x 13 mm
• Weight: 426 g
• Illustrations: XIV, 200 p. 29 illus.
• Series: Lecture Notes in Computational Science and Engineering
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > General, dictionaries; B, Software Engineering, Physics, Mathematics and Statistics, Mathematical and Computational Engineering, Theoretical, Mathematical and Computational Physics, Programming Techniques, Computer programming, Mathematical physics, Computer mathematics, Engineering mathematics, Applied mathematics, Computational Science and Engineering, Numerical and Computational Physics, Simulation, Computer programming / software engineering, Mathematical and Computational Engineering Applications, Maths for engineers