Numerical Methods for Stiff Equations and Singular Perturbation Problems
Autor A. Mirankeren Limba Engleză Paperback – 30 noi 2001
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Specificații
ISBN-13: 9781402002984
ISBN-10: 140200298X
Pagini: 220
Ilustrații: XIV, 204 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.34 kg
Ediția:Softcover reprint of the original 1st edition 1981
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 140200298X
Pagini: 220
Ilustrații: XIV, 204 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.34 kg
Ediția:Softcover reprint of the original 1st edition 1981
Editura: Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
1. Introduction.- Summary.- 1.1. Stiffness and Singular Perturbations.- 1.2. Review of the Classical Linear Multistep Theory.- 2. Methods of Absolute Stability.- Summary.- 2.1. Stiff Systems and A-stability.- 2.2. Notions of Diminished Absolute Stability.- 2.3. Solution of the Associated Equations.- 3. Nonlinear Methods.- Summary.- 3.1. Interpolatory Methods.- 3.2. Runge-Kutta Methods and Rosenbrock Methods.- 4 Exponential Fitting.- Summary.- 4.1. Exponential Fitting for Linear Multistep Methods.- 4.2. Fitting in the Matricial Case.- 4.3. Exponential Fitting in the Oscillatory Case.- 4.4. Fitting in the Case of Partial Differential Equations.- 5. Methods of Boundary Layer Type.- Summary.- 5.1. The Boundary Layer Numerical Method.- 5.2. The ?-independent Method.- 5.3. The Extrapolation Method.- 6. The Highly Oscillatory Problem.- Summary.- 6.1. A Two-time Method for the Oscillatory Problem.- 6.2. Algebraic Methods for the Averaging Process.- 6.3. Accelerated Computation of Averages and an Extrapolation Method.- 6.4. A Method of Averaging.- 7. Other Singularly Perturbed Problems.- Summary.- 7.1. Singularly Perturbed Recurrences.- 7.2. Singularly Perturbed Boundary Value Problems.- References.