Numerical Methods for Differential Equations, Optimization, and Technological Problems

Foreword.- Preface.- Part I Numerical Methods for Nonlinear Problems.- The Finite Element Immersed Boundary Method for the Numerical Simulation of the Motion of Red Blood Cells in Microfluidic Flows, by Ronald H. W. Hoppe and Christopher Linsenmann.- Iterative Solution Methods for the Large-Scale Constrained Saddle Point Problems , by Erkki Laitinen and Alexander Lapin.- Analytical-Numerical Methods for Hidden Attractors' Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits, by Gennady A. Leonov and Nikolay V. Kuznetsov.- Numerical Study of a High Order 3D FEM-Level Set Approach for Immiscible Flow Simulation, by Stefan Turek, Otto Mierka, Shuren Hysing, and Dmitri Kuzmin.- GAs and Nash GAs Using a Fast Meshless Method for CFD Design, by Hong Wang, Hong-Quan Chen, and Jacques Periaux.- Part II Reliable Methods for Computer Simulation.- Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis , by Rolf Rannacher and Jevgeni Vihharev.- On Quantitative Analysis of an Ill-Posed Elliptic Problem with Cauchy Boundary Conditions , by Sergey Repin and Tuomo Rossi.- On the Advantages and Drawbacks of A Posteriori Error Estimation for Fourth-Order Elliptic Problems , by Karel Segeth.- Upper Bound for the Approximation Error for the Kirchhoff-Love Arch Problem , by Olli Mali.- Guaranteed Error Bounds for a Class of Picard-Lindelof Iteration Methods , by Svetlana Matculevich, Pekka Neittaanmaki, and Sergey Repin.- Part III Analysis of Noised and Uncertain Data.- Hermitian Interpolation Subject to Uncertainties , by Jean-Antoine Desideri, Manuel Bompard, and Jacques Peter.- Inversion of the Heat Equation by a Block Based Algorithm Using Spline Wavelet Packets , by Amir Averbuch, Pekka Neittaanmaki, and Valery Zheludev.- Comparison Between Two Multi-Objective Optimization Algorithms: PAES and MGDA. Testing MGDA on Kriging Metamodels , by Adrien Zerbinati, Jean-Antoine Desideri, and Regis Duvigneau.- Polar Classification of Nominal Data , by Guy Wolf, Shachar Harussi, Yaniv Shmueli, and Amir Averbuch.- Part IV Optimization Methods.- Subgradient and Bundle Methods for Nonsmooth Optimization , by Marko M. Makela, Napsu Karmitsa, and Adil Bagirov.- Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results , by Peter Philip and Dan Tiba.- Multi-Objective Actuator Placement Optimization for Local Sound Control Evaluated in a Stochastic Domain, by Tuomas Airaksinen and Timo Aittokoski.- From the Idea of Bone Remodelling Simulation to Parallel Structural Optimisation , by Michal Nowak.- Part V Mathematical Models Generated by Modern Technological Problems.- Uncertainties in Contact Mechanics and Shape Optimization Problems , by Nikolay Banichuk and Svetlana Ivanova.- PPPC - Peer-2-Peer Streaming and Algorithm for Creating Spanning Trees for Peer-2-Peer Networks , by Amir Averbuch, Yehuda Roditi, and Nezer Jacob Zaidenberg.- Safety Analysis and Optimization of Travelling Webs Subjected to Fracture and Instability , by Nikolay Banichuk, Svetlana Ivanova, Matti Kurki, Tytti Saksa, Maria Tirronen, and Tero Tuovinen.- Dynamic Behaviour of a Travelling Viscoelastic Band in Contact With Rollers, by Tytti Saksa, Nikolay Banichuk, Juha Jeronen, Matti Kurki, and Tero Tuovinen.- Visual Contrast Preserving Representation of High Dynamic Range Mathematical Functions , by Juha Jeronen.- Failure Simulations with a Strain Rate Dependent Ductile-to-Brittle Transition Model , by Juha Hartikainen, Kari Kolari, and Reijo Kouhia.