Skip to main content
  • Textbook
  • © 2021

Principles of Parallel Scientific Computing

A First Guide to Numerical Concepts and Programming Methods

Authors:

  • Fits into many computer science degrees where students have already been exposed to programming languages
  • Highly accessible, sacrificing mathematical formalism in exchange for trial-and-error and bringing the fundamental ideas across
  • Offers reduced domain-specific jargon, instead introducing fundamental concepts of applied mathematics/numerics and focusing on the large picture approach needed for any application domain later explored
  • Pairs an introduction to mathematical concepts with an introduction to parallel programming
  • Emphasises (avoiding a code orientation) the paradigms and ideas behind parallelisation, so students can later on transfer their knowledge and skills to new technologies

Part of the book series: Undergraduate Topics in Computer Science (UTICS)

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction: Why to Study the Subject

    1. Front Matter

      Pages 1-1
    2. The Pillars of Science

      • Tobias Weinzierl
      Pages 3-9
    3. Moore Myths

      • Tobias Weinzierl
      Pages 11-17
  3. Back Matter

    Pages 29-29
  4. How the Machine Works

    1. Front Matter

      Pages 31-31
    2. Floating Point Numbers

      • Tobias Weinzierl
      Pages 33-47
    3. A Simplistic Machine Model

      • Tobias Weinzierl
      Pages 49-56
  5. Back Matter

    Pages 57-57
  6. Floating Point Number Crunching

    1. Front Matter

      Pages 59-59
    2. Round-Off Error Propagation

      • Tobias Weinzierl
      Pages 61-72
    3. SIMD Vector Crunching

      • Tobias Weinzierl
      Pages 73-87
    4. Arithmetic Stability of an Implementation

      • Tobias Weinzierl
      Pages 89-100
    5. Vectorisation of the Model Problem

      • Tobias Weinzierl
      Pages 101-113
  7. Back Matter

    Pages 115-115
  8. Basic Numerical Techniques and Terms

    1. Front Matter

      Pages 117-117
    2. Conditioning and Well-Posedness

      • Tobias Weinzierl
      Pages 119-129
    3. Taylor Expansion

      • Tobias Weinzierl
      Pages 131-138
    4. Ordinary Differential Equations

      • Tobias Weinzierl
      Pages 139-148

About this book

New insight in many scientific and engineering fields is unthinkable without the use of numerical simulations running efficiently on modern computers. The faster we get new results, the bigger and accurate are the problems that we can solve. It is the combination of mathematical ideas plus efficient programming that drives the progress in many disciplines. Future champions in the area thus will have to be qualified in their application domain, they will need a profound understanding of some mathematical ideas, and they need the skills to deliver fast code.

The present textbook targets students which have programming skills already and do not shy away from mathematics, though they might be educated in computer science or an application domain. It introduces the basic concepts and ideas behind applied mathematics and parallel programming that we need to write numerical simulations for today’s multicore workstations. Our intention is not to dive into one particular applicationdomain or to introduce a new programming language – we lay the generic foundations for future courses and projects in the area.

The text is written in an accessible style which is easy to digest for students without years and years of mathematics education. It values clarity and intuition over formalism, and uses a simple N-body simulation setup to illustrate basic ideas that are of relevance in various different subdomains of scientific computing. Its primary goal is to make theoretical and paradigmatic ideas accessible to undergraduate students and to bring the fascination of the field across.

Authors and Affiliations

  • Department of Computer Science, Durham University, Durham, UK

    Tobias Weinzierl

About the author

Tobias Weinzierl is Professor in the Department of Computer Science at Durham University, Durham, UK. He has served 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.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access