Numerical Analysis and Its Applications

1. Front Matter

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2. Invited Papers

   1. The Transmission Problem for Elliptic Second Order Equations in a Domain with Conical Boundary Points

      • Mikhail V. Borsuk

      Pages 1-12

   2. Some Contributions of Homotopic Deviation to the Theory of Matrix Pencils

      • Françoise Chatelin, Morad Ahmadnasab

      Pages 13-19

   3. Numerical Integration with Complex Jacobi Weight Function

      • Gradimir V. Milovanović, Aleksandar S. Cvetković

      Pages 20-31

   4. Surface Reconstruction via L ¹-Minimization

      • Veselin Dobrev, Jean-Luc Guermond, Bojan Popov

      Pages 32-43

   5. Qualitative Analysis of the Crank-Nicolson Method for the Heat Conduction Equation

      • István Faragó

      Pages 44-55

   6. Finite Element Approximation of an Elliptic Boundary Value Problem with Interface

      • Boško S. Jovanović, Lubin G. Vulkov

      Pages 56-67

   7. Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations

      • M. M. Konstantinov, P. Hr. Petkov, N. D. Christov

      Pages 68-79

   8. Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem

      • Natalia Kopteva

      Pages 80-91

   9. Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect

      • V. L. Makarov, L. I. Demkiv

      Pages 92-103

   10. An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems

       • E. O’Riordan, J. Stynes, M. Stynes

       Pages 104-115

   11. Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition

       • Grigory Shishkin

       Pages 116-127

   12. The Numerical Spherically Symmetric Modeling of Deep-Seated Geodynamics

       • A. V. Vyatkin, V. V. Shaidurov, G. I. Shchepanovskaya

       Pages 128-138

   13. Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation

       • E. V. Zemlyanaya, I. V. Barashenkov, N. V. Alexeeva

       Pages 139-150

3. Contributed Talks

   1. Optimal Order FEM for a Coupled Eigenvalue Problem on 2D Overlapping Domains

      • A. B. Andreev, M. R. Racheva

      Pages 151-158

   2. New Approach of FEM for Eigenvalue Problems with Non-local Transition Conditions

      • A. B. Andreev, M. R. Racheva

      Pages 159-167

   3. Minimal Simplex for IFS Fractal Sets

      • Elena Babače, Ljubiša Kocić

      Pages 168-175

   4. Computational Analysis of Expected Climate Change in the Carpathian Basin Using a Dynamical Climate Model

      • Judit Bartholy, Rita Pongrácz, Ildikó Pieczka, Péter Kardos, Adrienn Hunyady

      Pages 176-183

   5. An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems

      • Rajesh K. Bawa, Vinod Kumar

      Pages 184-191

   6. Model Predictive Control – Numerical Methods for the Invariant Sets Approximation

      • H. Benlaoukli, S. Olaru

      Pages 192-199

This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.

• Analysis
• Performance
• computational geometry
• linear algebra
• modeling
• numerical analysis
• numerical methods
• scientific computing
• algorithm analysis and problem complexity

• Institute for Parallel Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria

  Svetozar Margenov

• FNSE, Department of Numerical Methods and Statistics, University of Rousse, Rousse, Bulgaria

  Lubin G. Vulkov

• Department of Informatics and Mathematical Modelling, Technical University of Denmark, Kongens, Denmark

  Jerzy Waśniewski

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