عنوان

Numerical models for differential problems

شابک

9788847055216

کد کشور

IR

شماره

EN-52499

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Numerical models for differential problems

نام عام مواد

[Book]

نام نخستين پديدآور

/ Alfio Quarteroni

وضعيت ويراست

Second edition.

محل نشرو پخش و غیره

Milan ;New York

نام ناشر، پخش کننده و غيره

: Springer,

تاریخ نشرو بخش و غیره

, 2014.

نام خاص و کميت اثر

xix, 656 pages , illustrations , 24 cm..

عنوان فروست

(MS&A

مشخصه جلد

; v. 8,2037-5255)

متن يادداشت

"Translated by Silvia Quarteroni from the original Italian edition: A. Quarteroni, Modellistica Numerica per Problemi Differenziali, 5th ed., Springer-Verlag Italia, Milano, 2012"-- t.p. verso.

متن يادداشت

Electronic

متن يادداشت

Includes bibliographical references (pages 635-648) and index..

متن يادداشت

Abstract: In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics --.

متن يادداشت

1. A brief survey of partial differential equations -- 2. Elements of functional analysis -- 3. Elliptic equations -- 4. The Galerkin finite element method for elliptic problems -- 5. Parabolic equations -- 6. Generation of 1D and 2D grids -- 7. Algorithms for the solution of linear systems -- 8. Elements of finite element programming -- 9. The finite volume method -- 10. Spectral methods -- 11. Discontinuous element methods (DG and mortar) -- 12. Diffusion-transport-reaction equations -- 13. Finite differences for hyperbolic equations -- 14. Finite elements and spectral methods for hyperbolic equations -- 15. Nonlinear hyperbolic problems -- 16. Navier-Stokes equations -- 17. Optimal control of partial differential equations -- 18. Domain decomposition methods -- 19. Reduced basis approximation for parametrized partial differential equations.

عنوان

MS&A (Series)

شماره جلد

v. 8

مستند تایید نشده

[Modellistica numerica per problemi differenziali.]

موضوع مستند نشده

Differential equations, Partial, Numerical solutions

موضوع مستند نشده

Numerisches Verfahren, gnd

موضوع مستند نشده

Partielle Differentialgleichung, gnd

شماره رده

مستند نام اشخاص تاييد نشده

Quarteroni, Alfio

کشور

ایران

نام ميزبان

9788847055216.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9788847055216.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y