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-Lindelöf Iteration Methods , by Svetlana Matculevich, Pekka Neittaanmäki, and Sergey Repin.-  Part III Analysis of Noised and Uncertain Data.-  Hermitian Interpolation Subject to Uncertainties , by Jean-Antoine Désidéri, Manuel Bompard, and Jacques Peter.-  Inversion of the Heat Equation by a Block Based Algorithm Using Spline Wavelet Packets , by Amir Averbuch, Pekka Neittaanmäki, and Valery Zheludev.-  Comparison Between Two Multi-Objective Optimization Algorithms: PAES and MGDA. Testing MGDA on Kriging Metamodels , by Adrien Zerbinati, Jean-Antoine Désidéri, and Régis