Difference methods for singular perturbation problems

By:

Shishkin, Grigory I

Contributor(s):

Shishkina, Lidia P [Co-author]

Series: Monograph and survey in pure and applied mathematics, no. 140Publication details: CRC Press, 2009. B0ca Raton:Description: xv, 393p.; pbk; 24cmISBN:

9780367386825

Subject(s):

DDC classification:

515.35 SHI

Summary: Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and justifying ε uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data. https://www.routledge.com/Difference-Methods-for-Singular-Perturbation-Problems/Shishkin-Shishkina/p/book/9780367386825#:~:text=Difference%20Methods%20for%20Singular%20Perturbation%20Problems%20focuses%20on%20the%20development,further%20progress%20in%20numerical%20methods.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.35 SHI (Browse shelf(Opens below))	1	Available		031603

Includes bibliographial references and index.

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.

The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and justifying ε uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data.

https://www.routledge.com/Difference-Methods-for-Singular-Perturbation-Problems/Shishkin-Shishkina/p/book/9780367386825#:~:text=Difference%20Methods%20for%20Singular%20Perturbation%20Problems%20focuses%20on%20the%20development,further%20progress%20in%20numerical%20methods.

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