عنوان

A practical guide to pseudospectral methods /

شابک

0521495822

شابک

9780521495820

شماره

b795585

عنوان اصلي

A practical guide to pseudospectral methods /

نام عام مواد

[Book]

نام نخستين پديدآور

Bengt Fornberg.

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

1996.

نام خاص و کميت اثر

x, 231 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm.

عنوان فروست

Cambridge monographs on applied and computational mathematics ;

مشخصه جلد

1

متن يادداشت

Includes bibliographical references (pages 217-228) and index.

متن يادداشت

1. Introduction -- 2. Introduction to spectral methods via orthogonal functions -- 3. Introduction to PS methods via finite differences -- 4. Key properties of PS approximations -- 5. PS variations and enhancements -- 6. PS methods in polar and spherical geometries -- 7. Comparisons of computational cost for FD and PS methods -- 8. Applications for spectral methods -- App. A: Jacobi polynomials -- App. B: Tau, Galerkin, and collocation (PS) implementations -- App. C: Codes for algorithm to find FD weights -- App. D: Lebesgue constants -- App. E: Potential function estimate for polynomial interpolation error -- App. F: FFT-based implementation of PS methods -- App. G: Stability domains for some ODE solvers -- App. H: Energy estimates.

بدون عنوان

0

متن يادداشت

Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades, pseudospectral methods have emerged as successful, and often superior, alternatives to better-known computational procedures - such as finite difference and finite element methods - in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when, and why this pseudospectral approach works. In order to make the subject accessible to students as well as to researchers and engineers, the presentation incorporates illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. A key theme of the book is to establish and exploit the close connection that exists between pseudospectral and finite difference methods.

متن يادداشت

This approach not only leads to new insights into already established pseudospectral procedures, but also provides many novel and powerful pseudospectral variations. This book will be of interest to graduate students, scientists, and engineers interested in applying pseudospectral methods to real problems.

دسترس پذيري

£49.95 : CIP entry (Jan.)

موضوع مستند نشده

Finite differences.

موضوع مستند نشده

Spectral theory (Mathematics)

موضوع مستند نشده

31.46 functional analysis.

موضوع مستند نشده

Differential equations-- Numerical solutions.

موضوع مستند نشده

Finite differences.

موضوع مستند نشده

Finite differences.

موضوع مستند نشده

Spectraaltheorie.

موضوع مستند نشده

Spectral theory (Mathematics)

شماره

513.75

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Fornberg, Bengt.

تاريخ عمليات

20201207083535.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y