Essentials of Scientific Computing
Home > Computing and Information Technology > Computer science > Essentials of Scientific Computing: Numerical Methods for Science and Engineering
Essentials of Scientific Computing: Numerical Methods for Science and Engineering

Essentials of Scientific Computing: Numerical Methods for Science and Engineering


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

Modern development of science and technology is based to a large degree on computer modelling. To understand the principles and techniques of computer modelling, students should first get a strong background in classical numerical methods, which are the subject of this book. This text is intended for use in a numerical methods course for engineering and science students, but will also be useful as a handbook on numerical techniques for research students. Essentials of Scientific Computing is as self-contained as possible and considers a variety of methods for each type of problem discussed. It covers the basic ideas of numerical techniques, including iterative process, extrapolation and matrix factorization, and practical implementation of the methods shown is explained through numerous examples. An introduction to MATLAB is included, together with a brief overview of modern software widely used in scientific computations.

Table of Contents:
About the Author Dedication List of Examples Preface 1: Errors in computer arithmetic operations 2: Solving equations of the form f(x)=0 2.1 THE BISECTION METHOD 2.2 CALCULATION OF ROOTS WITH THE USE OF ITERATIVE FUNCTIONS 2.3 CONCLUDING REMARKS 3: Solving systems of linear equations 3.1 LINEAR ALGEBRA BACKGROUND 3.2 SYSTEMS OF LINEAR EQUATIONS 3.3 TYPES OF MATRICES THAT ARISE FROM APPLICATIONS AND ANALYSIS 3.4 ERROR SOURCES 3.5 CONDITION NUMBER 3.6 DIRECT METHODS 3.7 ITERATIVE METHODS 3.8 COMPARATIVE EFFICACY OF DIRECT AND ITERATIVE METHODS 4: Computational eigenvalue problems 4.1 BASIC FACTS CONCERNING EIGENVALUE PROBLEMS 4.2 LOCALIZATION OF EIGENVALUES 4.3 POWER METHOD 4.4 INVERSE ITERATION 4.5 ITERATION WITH A SHIFT OF ORIGIN 4.6 THE QR METHOD 4.7 CONCLUDING REMARKS 5: Solving systems of nonlinear equations 5.1 FIXED-POINT ITERATION 5.2 NEWTON’S METHOD 5.3 METHOD WITH CUBIC CONVERGENCE 5.4 MODIFICATION OF NEWTON’S METHOD 5.5 MAKING THE NEWTON-BASED TECHNIQUES MORE RELIABLE 6: Numerical integration 6.1 SIMPLE QUADRATURE FORMULAE 6.2 COMPUTATION OF INTEGRALS WITH PRESCRIBED ACCURACY 6.3 INTEGRATION FORMULAE OF GAUSSIAN TYPE 6.4 DEALING WITH IMPROPER INTEGRALS 6.5 MULTIDIMENSIONAL INTEGRATION 7: Introduction to finite difference schemes for ordinary differential equations 7.1 ELEMENTARY EXAMPLE OF A FINITE DIFFERENCE SCHEME 7.2 APPROXIMATION AND STABILITY 7.3 NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS 7.4 NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS 7.5 ERROR ESTIMATION AND CONTROL 8: Interpolation and Approximation 8.1 INTERPOLATION 8.2 APPROXIMATION OF FUNCTIONS AND DATA REPRESENTATION 9: Programming in MATLAB 9.1 NUMBERS, VARIABLES AND SPECIAL CHARACTERS 9.2 ARITHMETIC AND LOGICAL EXPRESSIONS 9.3 CONDITIONAL EXECUTION 9.4 LOOPS 9.5 ARRAYS 9.6 FUNCTIONS 9.7 INPUT AND OUTPUT 9.8 VISUALIZATION A: Integration formulae of Gaussian type B: Transformations of integration domains C: Stability regions for Runge-Kutta and Adams schemes D: A brief survey of available software LAPACK library for problems in numerical linear algebra IMSL mathematics and statistics libraries Numerical Algorithms Group (NAG) numerical libraries Bibliography Index

About the Author :
Dr. Victor Zalizniak was awarded his Masters in Physics at Krasnoyarsk State University, Russia before becoming a Research Fellow at the Centre for Scientific Computing at the Russian Academy of Sciences (Siberian Branch). He then moved to the Department of Aerospace Engineering at the Royal Melbourne Institute of Technology where he obtained his PhD. In 2001 he returned to the Department of Computer Science at his alma mater, Krasnoyarsk State University, where he continues to lecture, research and write in his particular fields of computational physics and mathematical physics. He is the author of several books on scientific computing including Essentials of Computational Physics Parts 1 and 2.

Review :
Zalizniak brings an unparalleled and novel treatment to this field and is to be commended for the sufficient level of detail provided in each chapter. The strength of the work lies in its conciseness, mathematical rigor and clear explanations of the underlying principles …Recommended, Choice …invaluable to research students as a handbook on numerical techniques, Mathematical Reviews


Best Sellers


Product Details
  • ISBN-13: 9781904275329
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Horwood Publishing Ltd
  • Language: English
  • Sub Title: Numerical Methods for Science and Engineering
  • ISBN-10: 190427532X
  • Publisher Date: 01 Mar 2008
  • Binding: Paperback
  • No of Pages: 212
  • Weight: 330 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Essentials of Scientific Computing: Numerical Methods for Science and Engineering
Elsevier Science & Technology -
Essentials of Scientific Computing: Numerical Methods for Science and Engineering
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Essentials of Scientific Computing: Numerical Methods for Science and Engineering

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!