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Difference Methods for Singular Perturbation Problems
Af: Grigory I. Shishkin, Lidia P. Shishkina Engelsk Paperback
SPAR
kr 98
Difference Methods for Singular Perturbation Problems
Af: Grigory I. Shishkin, Lidia P. Shishkina Engelsk Paperback
  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.

Containing information published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters.

Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.

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  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.

Containing information published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters.

Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.

Produktdetaljer
Sprog: Engelsk
Sider: 408
ISBN-13: 9780367386825
Indbinding: Paperback
Udgave:
ISBN-10: 0367386828
Udg. Dato: 5 sep 2019
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 5 sep 2019
Forfatter(e) Grigory I. Shishkin, Lidia P. Shishkina


Kategori Differentialregning & ligninger


Sprog Engelsk


Indbinding Paperback


Sider 408


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm


Udg. Dato 5 sep 2019


Oplagsdato 5 sep 2019

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