Numerical Methods for Differential Equations, Optimization, and Technological Problems

Dedicated to Professor P. Neittaanmäki on His 60th Birthday

Editors:

ISBN: 978-94-007-5287-0 (Print) 978-94-007-5288-7 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages I-XX

  2. Numerical Methods for Nonlinear Problems

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-17

      The Finite Element Immersed Boundary Method for the Numerical Simulation of the Motion of Red Blood Cells in Microfluidic Flows

    3. No Access

      Book Chapter

      Pages 19-39

      Iterative Solution Methods for Large-Scale Constrained Saddle-Point Problems

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      Book Chapter

      Pages 41-64

      Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits

    5. No Access

      Book Chapter

      Pages 65-91

      Numerical Study of a High Order 3D FEM-Level Set Approach for Immiscible Flow Simulation

    6. No Access

      Book Chapter

      Pages 93-105

      GAs and Nash GAs Using a Fast Meshless Method for CFD Design

  3. Reliable Methods for Computer Simulation

    1. Front Matter

      Pages 107-107

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      Book Chapter

      Pages 109-132

      Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis

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      Book Chapter

      Pages 133-144

      On Quantitative Analysis of an Ill-Posed Elliptic Problem with Cauchy Boundary Conditions

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      Book Chapter

      Pages 145-158

      On the Advantages and Drawbacks of A Posteriori Error Estimation for Fourth-Order Elliptic Problems

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      Book Chapter

      Pages 159-173

      Upper Bound for the Approximation Error for the Kirchhoff-Love Arch Problem

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      Book Chapter

      Pages 175-189

      Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration Methods

  4. Analysis of Noised and Uncertain Data

    1. Front Matter

      Pages 191-191

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      Book Chapter

      Pages 193-217

      Hermitian Interpolation Subject to Uncertainties

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      Book Chapter

      Pages 219-236

      Inversion of the Heat Equation by a Block Based Algorithm Using Spline Wavelet Packets

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      Book Chapter

      Pages 237-251

      Comparison Between Two Multi-Objective Optimization Algorithms: PAES and MGDA. Testing MGDA on Kriging Metamodels

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      Book Chapter

      Pages 253-271

      Polar Classification of Nominal Data

  5. Optimization Methods

    1. Front Matter

      Pages 273-273

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      Book Chapter

      Pages 275-304

      Subgradient and Bundle Methods for Nonsmooth Optimization

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      Book Chapter

      Pages 305-320

      Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results

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      Book Chapter

      Pages 321-334

      Multi-Objective Actuator Placement Optimization for Local Sound Control Evaluated in a Stochastic Domain

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      Book Chapter

      Pages 335-344

      From the Idea of Bone Remodelling Simulation to Parallel Structural Optimization

  6. Mathematical Models Generated by Modern Technological Problems

    1. Front Matter

      Pages 345-345

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      Book Chapter

      Pages 347-361

      Uncertainties in Contact Mechanics and Shape Optimization Problems

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      Book Chapter

      Pages 363-377

      PPPC—Peer-2-Peer Streaming and Algorithm for Creating Spanning Trees for Peer-2-Peer Networks

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