Langtangen, Hans Petter.

Finite Difference Computing with Exponential Decay Models [electronic resource] / by Hans Petter Langtangen. - 1st ed. 2016. - XIV, 200 p. 29 illus. online resource. - Lecture Notes in Computational Science and Engineering, 110 1439-7358 ; . - Lecture Notes in Computational Science and Engineering, 110 .

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

Open Access

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. .

9783319294391

10.1007/978-3-319-29439-1 doi


Computer mathematics.
Computer programming.
Software engineering.
Physics.
Applied mathematics.
Engineering mathematics.
Computational Science and Engineering.
Programming Techniques.
Software Engineering.
Numerical and Computational Physics, Simulation.
Mathematical and Computational Engineering.

QA71-90

004