Finite Difference Computing with Exponential Decay Models [electronic resource] / by Hans Petter Langtangen.

By: Langtangen, Hans Petter [author.]
Contributor(s): SpringerLink (Online service)
Material type: TextTextSeries: Lecture Notes in Computational Science and Engineering: 110Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016Description: XIV, 200 p. 29 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319294391Subject(s): 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 EngineeringAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 004 LOC classification: QA71-90Online resources: Click here to access online
Contents:
Preface -- Algorithms and implementations -- Analysis -- Generalizations -- Models -- Scientific Software Engineering -- References -- Index. .
In: Springer Nature Open Access eBookSummary: 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. .
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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. .

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