Analytical and Numerical Approaches to Asymptotic Problems in Analysis

Name: Analytical and Numerical Approaches to Asymptotic Problems in Analysis
Brand: Elsevier
Price: 195.0 EUR
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O. Axelsson L. S. Frank A. van der Sluis(Herausgeber*in)

Elsevier (Verlag)

Erschienen am 3. Juli 2010

380 Seiten

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978-0-08-087158-5 (ISBN)

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Front Cover
Analytical and Numerical Approaches to Asymptotic Problems in Analysis
Copyright Page
TABLE OF CONTENTS
PREFACE
ACKNOWLEDGEMENTS
CONTRIBUTORS
OPENING ADDRESS
PART I: INVITED LECTURES
Chapter 1. Finite gap almost periodic solutions in asymptotical expansions
Chapter 2. Periodic solutions near equilibrium points of Hamiltonian systems
Chapter 3. Asymptotics for elementary spherical functions
Chapter 4. On the question of the existence and nature of homogeneous-center target patterns in the Belousov-Zhabotinskii reagent
Chapter 5. Singular perturbations of hyperbolic type
Chapter 6. Computation by extrapolation of solutions of singular perturbation problems
Chapter 7. Proper approximation of a normed space and singular perturbations
Chapter 8. An analysis of some finite element methods for advection-diffusion problems
Chapter 9. Short time asymptotic behavior for parabolic equations
Chapter 10. Difference approximation for a singular perturbation problem with turning points
Chapter 11. Stability and consistency analysis of difference methods for singular perturbation problems
Chapter 12. Finite element Galerkin methods for convection-diffusion and reaction-diffusion
Chapter 13. Numerical solution of singular perturbation problems and hyperbolic systems of conservation laws
Chapter 14. Nonstationary filtration in partially saturated media
Chapter 15. A-Posteriori error estimates and adaptive finite element computations for singularly perturbed one space dimensional parabolic equations
Chapter 16. Diffraction of waves by cones and polyhedra
Chapter 17. Some asymptotic problems in mechanics
PART II: CONTRIBUTED PAPERS
Chapter 18. Asymptotic amplitude and phase for isochronic familie of periodic solutions
Chapter 19. Quasioptimal finite element approximations of first order hyperbolic and of convection-dominated convection-diffusion equations
Chapter 20. Homogenization of the equation of stationary diffusion in cylindrical domains
Chapter 21. Singular perturbations of an elliptic operation with discontinuous nonlinearity
Chapter 22. Coercive singular perturbations: asymptotics and reduction to regularly perturbed boundary value problems
Chapter 23. Efficient two-step numerical methods for parabolic differential equations
Chapter 24. Estimating the discretization error in three point difference schemes for second order linear singularly perturbed BVP
Chapter 25. Failure of nerve impulse propagation for nonuniform nerve axons
Chapter 26. The penalty method for the vibrating string with an obstacle
Chapter 27. On the asymptotic behavior of the solution of a nonlinear Volterra integral equation
Chapter 28. Conservative upwind finite element approximation and its applications

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