Guide to Numerical Algorithm Design and Development
Including Legacy Examples from Fortran and MathCAD in High Precision
Springer
ISBN 978-3-031-90177-5
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Hardcover
2025
7 Farbabbildungen.
In englischer Sprache
Umfang: xxvii, 243 S.
Format (B x L): 15,5 x 23,5 cm
Verlag: Springer
ISBN: 978-3-031-90177-5
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Texts in Computer Science
Produktbeschreibung
The techniques presented are based on algorithms developed by the author over six decades of research and publications in peer-reviewed journals. The exposition includes topics typical of numerical analysis courses and is supplemented with examples of algorithms demonstrated in an engineering worksheet that is easy to read and comprehend. Each chapter ends with exercises and programming problems. Additional examples are available as downloadable Fortran code based on the author’s large-scale models in computational physics. The limitations of commodity processors and modern compilers is discussed, with advice provided on how to control them in an algorithm’s code design. An ample bibliography of over 200 citations provides a guide to further reading.
Topics, features, and emphases:
· Stability: knowing the range of algorithm parameters for producing reliable results
· Accuracy: understanding convergence to a result through quantitative metrics
· Precision: advance knowledge of the expected numerical precision and how to control it
· Efficiency: translating an algorithm into code with limited redundant computation
The primary target audience of this textbook/guide are senior graduate (or postgraduate) students in computer science and scientific or engineering fields who are starting on a career path as the next generation of model developers for high-performance computing (HPC). Additionally, the book will appeal to professionals engaged in large-scale computer model development who could use the volume as a course supplement or reference.
The author is an Honorary Fellow of the University of Wollongong, New South Wales, Australia. He is active as a private consultant in HPC and CEO of HiPERiSM Consulting, LLC, in the United States of America.
Autorinnen und Autoren
Kundeninformationen
Instructs readers how to design high-precision numerical algorithms Examines approximating functions and error analysis Describes how to use truncation in approximation
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