Difference methods for singular perturbation problems. (©2009)

• Record Type: Book
• Further Information: Note: Grigory I. Shishkin, Lidia P. Shishkina.
• Other Names: Shishkin, G. I; Shishkina, Lidia P
• Contents: Preface ; Part I: Grid Approximations of Singular Perturbation Partial Differential Equations ; Introduction; Boundary Value Problems for Elliptic Reaction-Diffusion Equations in Domains with Smooth Boundaries; Boundary Value Problems for Elliptic Reaction-Diffusion Equations in Domains with Piecewise-Smooth Boundaries; Generalizations for Elliptic Reaction-Diffusion Equations; Parabolic Reaction-Diffusion Equations; Elliptic Convection-Diffusion Equations; Parabolic Convection-Diffusion Equations; Part II: Advanced Trends in ε Uniformly Convergent Difference Methods ; Grid Approximations of Parabolic Reaction-Diffusion Equations with Three Perturbation Parameters; Application of Widths for Construction of Difference Schemes for Problems with Moving Boundary Layers; High-Order Accurate Numerical Methods for Singularly Perturbed Problems; A Finite Difference Scheme on a priori Adapted Grids for a Singularly Perturbed Parabolic Convection-Diffusion Equation; On Conditioning of Difference Schemes and Their Matrices for Singularly Perturbed Problems; Approximation of Systems of Singularly Perturbed Elliptic Reaction-Diffusion Equations with Two Parameters; Survey; References
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2009
• Copyright Date: 2009
• Extent: 1 online resource (xv, 393 pages)
• Subjects: 515/.392; Singular perturbations (Mathematics); Difference equations -- Numerical solutions; Algebra, Abstract; MATHEMATICS -- Differential Equations -- General; Algebra, Abstract; Difference equations -- Numerical solutions; Singular perturbations (Mathematics)
• Languages: English
• ISBNs: 9780203492413; 0203492412; 1584884592; 9781584884590
• Related ISBNs: 9781584884590
• Notes: Note: Includes bibliographical references (pages 371-388) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.