Principles of parallel scientific computing : a first guide to numerical concepts and programming methods / Tobias Weinzierl.
2021
QA76.58
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Details
Title
Principles of parallel scientific computing : a first guide to numerical concepts and programming methods / Tobias Weinzierl.
Author
Weinzierl, Tobias.
ISBN
9783030761943 (electronic bk.)
3030761940 (electronic bk.)
3030761932
9783030761936
3030761940 (electronic bk.)
3030761932
9783030761936
Imprint
Cham, Switzerland : Springer, 2021.
Language
English
Description
1 online resource
Other Standard Identifiers
10.1007/978-3-030-76194-3 doi
Call Number
QA76.58
Dewey Decimal Classification
004/.35
Summary
It is the combination of mathematical ideas and efficient programs that drives the progress in many scientific disciplines: The faster results can be generated on a computer, the bigger and the more accurate are the challenges that can be solved. This textbook targets students who have programming skills and do not shy away from mathematics, though they might be educated in computer science or an application domain and have no primary interest in the maths. The book is for students who want to see some simulations up and running. It introduces the basic concepts and ideas behind applied mathematics and parallel programming that are needed to write numerical simulations for todays multicore workstations. The intention is not to dive into one particular application domain or to introduce a new programming language; rather it is to lay the generic foundations for future studies and projects in this field. Topics and features: Fits into many degrees where students have already been exposed to programming languages Pairs an introduction to mathematical concepts with an introduction to parallel programming Emphasises the paradigms and ideas behind code parallelisation, so students can later on transfer their knowledge and skills Illustrates fundamental numerical concepts, preparing students for more formal textbooks The easily digestible text prioritises clarity and intuition over formalism, illustrating basic ideas that are of relevance in various subdomains of scientific computing. Its primary goal is to make theoretical and paradigmatic ideas accessible and even fascinating to undergraduate students. Tobias Weinzierl is professor in the Department of Computer Science at Durham University, Durham, UK. He has worked at the Munich Centre for Advanced Computing (see the Springer edited book, Advanced Computing) before, and holds a PhD and habilitation from the Technical University Munich.
Note
Includes index.
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Access limited to authorized users.
Series
Undergraduate topics in computer science.
Available in Other Form
Print version: 9783030761936
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Table of Contents
1. The Pillars of Science
2. Moore Myths
3. Our Model Problem
4. Floating Point Numbers
5. A Simplistic Machine Model
6. Round-off Error Propagation
7. SIMD Vector Crunching
8. Arithmetic Stability of an Implementation
9. Vectorisation of the Model Problem
10. Conditioning and Well-posedness
11. Taylor Expansion
12. Ordinary Differential Equations
13. Accuracy and Appropriateness of Numerical Schemes
14. Writing Parallel Codes
15. Upscaling Methods
16. OpenMP Primer
17. Shared Memory Tasking
18. GPGPUs with OpenMP
19. Higher Order Methods
20. Adaptive Time Stepping.
2. Moore Myths
3. Our Model Problem
4. Floating Point Numbers
5. A Simplistic Machine Model
6. Round-off Error Propagation
7. SIMD Vector Crunching
8. Arithmetic Stability of an Implementation
9. Vectorisation of the Model Problem
10. Conditioning and Well-posedness
11. Taylor Expansion
12. Ordinary Differential Equations
13. Accuracy and Appropriateness of Numerical Schemes
14. Writing Parallel Codes
15. Upscaling Methods
16. OpenMP Primer
17. Shared Memory Tasking
18. GPGPUs with OpenMP
19. Higher Order Methods
20. Adaptive Time Stepping.