2 edition of **Numerical solution of hyperbolic partial differential equations** found in the catalog.

Numerical solution of hyperbolic partial differential equations

J. A. Trangenstein

- 370 Want to read
- 2 Currently reading

Published
**2009**
by Cambridge University Press in Cambridge, New York
.

Written in English

- Differential equations, Hyperbolic -- Numerical solutions -- Textbooks

**Edition Notes**

Statement | John A. Trangenstein. |

Genre | Textbooks |

Classifications | |
---|---|

LC Classifications | QA377 .T62 2009 |

The Physical Object | |

Pagination | xxi, 597 p. : |

Number of Pages | 597 |

ID Numbers | |

Open Library | OL24009126M |

ISBN 10 | 052187727X |

ISBN 10 | 9780521877275 |

LC Control Number | 2009504883 |

Partial differential equations with numerical methods covers a lot of ground authoritatively and without ostentation and with a constant focus on the needs of practitioners." (Nick Lord, The Mathematical Gazette, March, ) "Larsson and Thomée discuss numerical solution methods of linear partial differential equations.4/5(7). Some Partial Di erential Equations From Physics Remark Contents. This chapter introduces some partial di erential equations (pde’s) from physics to show the importance of this kind of equations and to moti-vate the application of numerical methods for their solution. 2 The Heat Equation Remark by: 5.

Numerical methods for solving hyperbolic partial differential equations may be subdivided into two groups: 1) methods involving an explicit separation of the singularities of the solution; 2) indirect computation methods, in which the singularities are not directly separated but are obtained in the course of the computation procedure as domains. Numerical Methods for Partial Differential Equations is an international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations. Read the journal's full aims and scope. Supporting Authors. Numerical Methods for Partial Differential Equations supports.

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems Book Edition: 3. This book treats the three main areas of partial differential equations (PDEs): elliptic, parabolic, and hyperbolic. Most of the text involves first- and second-order linear equations in one space dimension, although higher dimensional, systems, and nonlinear equations, especially conservation laws, are by no means ignored.

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Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, comprising print, and interactive electronic components (on CD). It is a comprehensive presentation of the modern theory and numerics with a range of applications broad enough to engage most engineering disciplines and many areas of applied Cited by: with each class.

The reader is referred to other textbooks on partial differential equations for alternate approaches, e.g., Folland [18], Garabedian [22], and Weinberger [68].

After introducing each class of differential equations we consider ﬁnite difference methods for the numerical solution of equations in the Size: 1MB. Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods.

The solution of PDEs can be very challenging, depending on the type of equation, the number of. "Larsson and Thomée discuss numerical solution methods of linear partial differential equations.

They explain finite difference and finite element methods and apply these concepts to elliptic, parabolic, and hyperbolic partial differential equations. The text is enhanced by 13 figures and by: Explicit solvers are the simplest and time-saving ones.

However, many models consisting of partial differential equations can only be solved with implicit methods because of Author: Louise Olsen-Kettle. Numerical Solution of Partial Differential Equations—II: Synspade provides information pertinent to the fundamental aspects of partial differential equations.

This book covers a variety of topics that range from mathematical numerical analysis to numerical methods applied to problems in mechanics, meteorology, and fluid dynamics. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each. Numerical Solution of Partial Differential Equations An Introduction K.

Morton The origin of this book was a sixteen-lecture course that each of us Partial diﬀerential equations (PDEs) form the basis of very many math-ematical models of physical, chemical and biological phenomena, and.

The Wolfram Language function NDSolve has extensive capability for solving partial differential equations (PDEs). A unique feature of NDSolve is that given PDEs and the solution domain in symbolic form, NDSolve automatically chooses numerical methods that appear best suited to the problem structure.

Commonly, the automatic algorithm selection works quite well, but it is. Download Citation | Hyperbolic Partial Differential Equations | IntroductionEquations of Hyperbolic TypeFinite Difference Solution of First-Order Scalar Hyperbolic Partial Differential.

From the reviews: "This textbook is the translation and revision of the third German edition of the book deals with different aspects of the numerical solution of elliptic, parabolic and hyperbolic partial differential equations. LECTURE SLIDES LECTURE NOTES; Numerical Methods for Partial Differential Equations ()(PDF - MB)Finite Difference Discretization of Elliptic Equations: 1D Problem ()(PDF - MB)Finite Difference Discretization of Elliptic Equations: FD Formulas and Multidimensional Problems ()(PDF - MB)Finite Differences: Parabolic Problems ()(Solution Methods:.

From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject [It] is unique in that it covers equally finite.

: Numerical Solution of Hyperbolic Partial Differential Equations () by Trangenstein, John A. and a great selection of similar New, Used and Collectible Books available now at great prices.5/5(1).

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods.

The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and. B 2 − AC > 0 (hyperbolic partial differential equation): hyperbolic equations retain any discontinuities of functions or derivatives in the initial data.

An example is the wave equation. The motion of a fluid at supersonic speeds can be approximated with hyperbolic PDEs, and the Euler–Tricomi equation is hyperbolic where x > 0. This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields.

The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations.

"Numerical Solution of Hyperbolic Partial Differential Equations is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods.

Numerical Methods for Partial Differential Equations is a bimonthly peer-reviewed scientific journal covering the development and analysis of new methods for the numerical solution of partial differential equations. It was established in and is published by John Wiley & Sons.

The editors-in-chief are George F. Pinder (University of Discipline: Partial differential equations, numerical. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations.

For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods.

Numerical Recipes in Fortran (2nd Ed.), W. H. Press et al. Introduction to Partial Di erential Equations with Matlab, J. M. Cooper. Numerical solution of partial di erential equations, K. W. Morton and D. F. Mayers. Spectral methods in Matlab, L.

N. Trefethen 8Cited by: 4.Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD). It is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and.Numerical Solution of Partial Differential Equations by Smith, G.

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