Time-Dependent Problems and Difference Methods

Description

Praise for the First Edition ". . . fills a considerable gap in the numerical analysisliterature by providing a self-contained treatment . . . this is animportant work written in a clear style . . . warmly recommended toany graduate student or researcher in the field of the numericalsolution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, SecondEdition continues to provide guidance for the analysis ofdifference methods for computing approximate solutions to partialdifferential equations for time-dependent problems. The book treatsdifferential equations and difference methods with a paralleldevelopment, thus achieving a more useful analysis of numericalmethods. The Second Edition presents hyperbolic equations in greatdetail as well as new coverage on second-order systems of waveequations including acoustic waves, elastic waves, and Einsteinequations. Compared to first-order hyperbolic systems,initial-boundary value problems for such systems contain newproperties that must be taken into account when analyzingstability. Featuring the latest material in partial differentialequations with new theorems, examples, andillustrations,Time-Dependent Problems and Difference Methods,Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and theirapplication to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, SecondEdition is an ideal reference for physical scientists,engineers, numerical analysts, and mathematical modelers who usenumerical experiments to test designs and to predict andinvestigate physical phenomena. The book is also excellent forgraduate-level courses in applied mathematics and scientificcomputations.

Get the book

Amazon.com

Search the book

eBay.com

Search the book

Other editions

• 

  Time-Dependent Problems and Difference Methods

  • 2013-08-05
  • - pages
  • Paperback
  • John Wiley & Sons

Similar books

• 

  Integral Geometry and Tomography: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Held June 24-30, 1989, with Support from the...

  By Eric Grinberg, Eric Todd Quinto

  In Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...

• 

  Ordinary Differential Equations and Linear Algebra: A Systems Approach

  By Todd Kapitula

  ... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...

• 

  Cognition and Intractability: A Guide to Classical and Parameterized Complexity Analysis

  By Iris van Rooij, Mark Blokpoel, Johan Kwisthout

  x,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.

• 

  Mymathlab -- Standalone Access Card

  By Pearson Education, David P Pearson Education, Hall H Pearson Education

  Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.

• 

  Mymathlab Student Acc Kit + Intro Alg Wrkshts

  By Inc. Pearson Education

  Mymathlab Student Acc Kit + Intro Alg Wrkshts

• 

  Pearson Mathematics 7: H.P

  By Pearson Education Australia Staff

  Pearson Mathematics homework program for Year 7 provides tear-out sheets which correspond with student book sections, providing systematic and cumulative skills revision of basic skills and current class topics in the form of take-home ...

• 

  Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models

  By Addison-Wesley

  Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models

• 

  Pearson Mathematics New South Wales 8 Student Book: Australian Curriculum

  By Pearson Education Australia Staff, Gael McLeod, David Coffey

  The Student Book provides an easy-to-use 'nuts and bolts' book at each year level.

• 

  Matrix Iterative Analysis

  By Richard S. Varga

  ... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...

• 

  Mathematical Modelling: Education, Engineering and Economics - ICTMA 12

  By C Haines, P Galbraith, W Blum

  Todd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...