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Numerical Methods for Engineering Application [Paperback]

Joel H. Ferziger (Author)
3.5 out of 5 stars  See all reviews (2 customer reviews)


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Book Description

0471063363 978-0471063360 September 1981 1
Presents the numerical methods used in the solution of many engineering problems, including interpolation, integration, and ordinary and partial differential equations. Many methods are reduced to FORTRAN programs, with concrete examples demonstrating their actual behavior.


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From the Publisher

Presents the numerical methods used in the solution of many engineering problems, including interpolation, integration, and ordinary and partial differential equations. Many methods are reduced to FORTRAN programs, with concrete examples demonstrating their actual behavior.

From the Back Cover

State-of-the-art numerical methods for solving complex engineering problems

Great strides in computer technology have been made in the years since the popular first edition of this book was published. Several excellent software packages now help engineers solve complex problems. Making the most of these programs requires a working knowledge of the numerical methods on which the programs are based. Numerical Methods for Engineering Application provides that knowledge.

While it avoids intense mathematical detail, Numerical Methods for Engineering Application supplies more in-depth explanations of methods than found in the typical engineer's numerical "cookbook." It offers complete coverage of most commonly encountered algebraic, interpolation, and integration problems. Ordinary differential equations are examined in great detail, as are three common types of partial differential equations--parabolic, elliptic, and hyperbolic. The author also explores a wide range of methods for solving initial and boundary value problems.

This complete guide to numerical methods for solving engineering problems on computers provides:
* Practical advice on how to select the best method for a given problem
* Valuable insights into how each method works and why it is the best choice
* Complete algorithms and source code for all programs covered
* Code from the book and problem-solving programs designed by the author available from the author's website

Numerical Methods for Engineering Application is a valuable working resource for engineers and applied physicists. It also serves as an excellent upper-level text for physics and engineering students in courses on modern numerical methods. --This text refers to the Hardcover edition.

Product Details

  • Paperback: 288 pages
  • Publisher: John Wiley & Sons; 1 edition (September 1981)
  • Language: English
  • ISBN-10: 0471063363
  • ISBN-13: 978-0471063360
  • Product Dimensions: 7.8 x 5.1 x 1 inches
  • Shipping Weight: 1 pounds
  • Average Customer Review: 3.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #681,419 in Books (See Top 100 in Books)

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3.5 out of 5 stars (2 customer reviews)
 
 
 
 
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5 of 5 people found the following review helpful:
4.0 out of 5 stars explanatory treatment bridging theory and application, June 1, 2000
Professor Ferziger has provided a useful text for what to me is a nonintuitive subject. Informative cookbooks (e.g., _Numerical_Recipies_) and mathematical monographs are available, but comparitive explanations seem less common. Thus, Dr Ferziger fills a particular need in this field. Comparisons are provided regarding advantages and limitations between various methods, from the ubiquitous Trapezoid rule to less well known Peaceman-Rachford method, among others.

Despite my experience in finite difference analysis for heat transfer problems, there were many aspects regarding stability and convergence of various solution algorithms that I learned from _Numerical_Methods_. Some portions of the text are easier reading than others, depending on familiarity with various techniques and the equation forms to solve. In fluid mechanics, a combination of pressure (elliptic equations) and mass transport (parabolic equations) produce complications that may be difficult to treat. Since heat transfer was my primary computational focus, I found the sections on parabolic solutions easier to grasp than others such as on fast Fourier transforms.

The book's treatment is one of explanation rather than mathematical proofs, albeit with the assumption that differential calculus and some background in discretized equations are understood. Example routines coded in FORTRAN are mentioned in the text and in the appendix, available on a corresponding internet site at Stanford. Overall, a useful reference and helpful addition to an engineer's library.

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1 of 1 people found the following review helpful:
3.0 out of 5 stars Beware 2nd Edition, March 21, 2009
Treatment is at the right level for engineers and scientists interested in applying concepts without getting bogged down in the underlying mathematics. But beware: the promised code examples that added so much to the first edition, and which I expected when I purchased the second edition, are not in the book. Rather, an appendix refers the reader to a web site at Stanford that is no longer there. The author has died and emails to the publisher and the department at Stanford are unanswered. Had I known, I would have purchased a used copy of the first edition and saved the $100+.
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Inside This Book (learn more)
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First Sentence:
Although this book is primarily concerned with the solution of differential equations (ordinary and partial), any method for solving differential equations on a computer requires reductions of the problem to one that can be solved in a finite number of operations. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
strongly implicit method, cost per grid point, trapezoid integration, line relaxation method, leapfrog method, adaptive grid methods, optimum relaxation factor, parametric interpolation, fine grid solution, phantom point, trapezoid rule, computational molecule, convection equation, adaptive quadrature, convergence error, dispersive error, discretized equations, numerical analysis texts, central difference approximation, nonuniform grid, multigrid method, parasitic root, finest grid, multistep methods, hyperbolic equations
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Dufort Frankel, Crank Nicolson, Lax Wendroff
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