Difference methods for singular perturbation problems
Shishkin, Grigory I.
Difference methods for singular perturbation problems - B0ca Raton: CRC Press, 2009. - xv, 393p.; pbk; 24cm. - Monograph and survey in pure and applied mathematics, no. 140 .
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.
9780367386825
Singular perturbations--Mathematics
Difference equations
Numerical solutions
Algebra
Grid approximation
515.35 / SHI
Difference methods for singular perturbation problems - B0ca Raton: CRC Press, 2009. - xv, 393p.; pbk; 24cm. - Monograph and survey in pure and applied mathematics, no. 140 .
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.
9780367386825
Singular perturbations--Mathematics
Difference equations
Numerical solutions
Algebra
Grid approximation
515.35 / SHI
