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Time-dependent problems and difference methods

BPraise for the iFirst Edition/i/b/ ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment ... this is an important work written in a clear style ... warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." /'iSIAM Review/i/ iTime-Dependent Problems and Difference Methods, Second Edition/i continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods./ The iSecond Edition/i presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations, iTime-Dependent Problems and Difference Methods, Second Edition/i also includes:/ ulliHigh order methods on staggered grids/liliExtended treatment of Summation By Parts operators and their application to second-order derivatives/liliSimplified presentation of certain parts and proofs/li/ul iTime-Dependent Problems and Difference Methods, Second Edition/i is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.

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  • "BPraise for the iFirst Edition/i/b/ ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment ... this is an important work written in a clear style ... warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." /'iSIAM Review/i/ iTime-Dependent Problems and Difference Methods, Second Edition/i continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods./ The iSecond Edition/i presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations, iTime-Dependent Problems and Difference Methods, Second Edition/i also includes:/ ulliHigh order methods on staggered grids/liliExtended treatment of Summation By Parts operators and their application to second-order derivatives/liliSimplified presentation of certain parts and proofs/li/ul iTime-Dependent Problems and Difference Methods, Second Edition/i is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations."@en
  • "Time dependent problems frequently pose challenges in areas of science and engineering dealing with numerical analysis, scientific computation, mathematical models, and most importantly - numerical experiments intended to analyze physical behavior and test design. Time Dependent Problems and Difference Methods addresses these various industrial considerations in a pragmatic and detailed manner, giving special attention to time dependent problems in its coverage of the derivation and analysis of numerical methods for computational approximations to Partial Differential Equations (PDEs). The authors draw on their own interests and combined extensive experience in applied mathematics and computer science to bring about this practical and useful guide. They provide complete discussions of the pertinent theorems and back them up with examples and illustrations."
  • ""Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids ; Extended treatment of Summation By Parts operators and their application to second-order derivatives ; Simplified presentation of certain parts and proofs. Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations."--Publisher's website."

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  • "Electronic books"@en
  • "Electronic books"

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  • "Time dependent problems and difference methods"
  • "Time-dependent problems and difference methods"@en
  • "Time-dependent problems and difference methods"
  • "Time-Dependent Problems and Difference Methods"
  • "Time Dependent Problems and Difference Methods"@en
  • "Time Dependent Problems and Difference Methods"

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