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Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Zhongyi Huang

    1. Dept. of Mathematical Sciences, Tsinghua University, Beijing, China

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  2. Martin Stynes

    1. Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

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    You can also search for this editor in PubMed   Google Scholar

  3. Zhimin Zhang

    1. Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

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Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 120)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-viii
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  2. Error Estimates in Balanced Norms of Finite Element Methods on Layer-Adapted Meshes for Second Order Reaction-Diffusion Problems

    • Hans-G. Roos
    Pages 1-18

  3. Numerical Studies of Higher Order Variational Time Stepping Schemes for Evolutionary Navier-Stokes Equations

    • Naveed Ahmed, Gunar Matthies
    Pages 19-33

  4. Uniform Convergent Monotone Iterates for Nonlinear Parabolic Reaction-Diffusion Systems

    • Igor Boglaev
    Pages 35-48

  5. Order Reduction and Uniform Convergence of an Alternating Direction Method for Solving 2D Time Dependent Convection-Diffusion Problems

    • C. Clavero, J. C. Jorge
    Pages 49-61

  6. Laminar Boundary Layer Flow with DBD Plasma Actuation: A Similarity Equation

    • Gael de Oliveira, Marios Kotsonis, Bas van Oudheusden
    Pages 63-76

  7. On Robust Error Estimation for Singularly Perturbed Fourth-Order Problems

    • Sebastian Franz, Hans-Görg Roos
    Pages 77-85

  8. Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition

    • José Luis Gracia, Eugene O’Riordan
    Pages 87-99

  9. Numerical Results for Singularly Perturbed Convection-Diffusion Problems on an Annulus

    • Alan F. Hegarty, Eugene O’Riordan
    Pages 101-112

  10. Numerical Calculation of Aerodynamic Noise Generated from an Aircraft in Low Mach Number Flight

    • Vladimir Jazarević, BoÅ¡ko RaÅ¡uo
    Pages 113-127

  11. On the Discrete Maximum Principle for Algebraic Flux Correction Schemes with Limiters of Upwind Type

    • Petr Knobloch
    Pages 129-139

  12. Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes: Neumann Boundary Conditions

    • Natalia Kopteva
    Pages 141-154

  13. A DG Least-Squares Finite Element Method for Nagumo’s Nerve Equation with Fast Reaction: A Numerical Study

    • Runchang Lin
    Pages 155-168

  14. Local Projection Stabilization for Convection-Diffusion-Reaction Equations on Surfaces

    • Kristin Simon, Lutz Tobiska
    Pages 169-181

  15. A Comparison Study of Parabolic Monge-Ampère Equations Adaptive Grid Methods

    • Mohamed H. M. Sulman
    Pages 183-196

  16. Approximate Solutions to Poisson Equation Using Least Squares Support Vector Machines

    • Ziku Wu, Zhenbin Liu, Fule Li, Jiaju Yu
    Pages 197-203

  17. Back Matter

    Pages 204-211
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Keywords

About this book

This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena.

The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between

these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics.

This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app

roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.

Editors and Affiliations

  • Dept. of Mathematical Sciences, Tsinghua University, Beijing, China

    Zhongyi Huang

  • Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

    Martin Stynes, Zhimin Zhang

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