Proceedings of the Conference on Applied Mathematics and Scientific Computing

The Third Conference on Applied Mathematics and Scienti?c Computing took place June 23-27, 2003 on island of Brijuni, Croatia. The main goal of the conference was to interchange ideas among applied mathematicians in the broadest sense both from and outside academia, as well as experts from other areas who apply different mathematical techniques. During the meeting there were invited and contributed talksand software presentations. Invited presentations were given by active researchers from the ?eldsof approximation theory, numerical methods for differential equations and numericallinear algebra. These proceedings contain research and review papers by invited speakers and selected contributed papers from the ?elds of applied and numerical mathematics. A particular aim of the conference was to encourage young scientists to present results of their research. Traditionally, the best presentation given by PhD student was rewarded. This year awardee was Luka Grubisi ? c (University of Hagen, Hagen, Germany) and we congratulate him for this achievement. It would be hard to organize the conference without generous support of the Croatian Ministry of Science and Technology and we acknowledge it. We are also indebted to themainorganizer, Department of Mathematics, University of Zagreb.Motivating beautiful nature should bealso mentioned.And,attheend, we are thankful to Drs. JosipTambaca ? and Ivica Nakic for giving this book its ?nal shape.

Inhalt
Invited Lectures.- Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications.- A General Frame for the Construction of Constrained Curves.- DMBVP for Tension Splines.- Robust Numerical Methods for the Singularly Perturbed Black-Scholes Equation.- Contributed Lectures.- On Certain Properties of Spaces of Locally Sobolev Functions.- On Some Properties of Homogenised Coefficients for Stationary Diffusion Problem.- Solving Parabolic Singularly Perturbed Problems by Collocation Using Tension Splines.- On Accuracy Properties of One-Sided Bidiagonalization Algorithm and Its Applications.- Knot Insertion Algorithms for Weighted Splines.- Numerical Procedures for the Determination of an Unknown Source Parameter in a Parabolic Equation.- Balanced Central NT Schemes for the Shallow Water Equations.- Hidden Markov Models and Multiple Alignments of Protein Sequences.- On Strong Consistency for One-Step Approximations of Stochastic Ordinary Differential Equations.- On the Dimension of Bivariate Spline Space S31(?).- Total Least Squares Problem for the Hubbert Function.- Heating of Oil Well by Hot Water Circulation.- Geometric Interpolation of Data in $$\mathbb{R}$$ 3.- One-Dimensional Flow of a Compressible Viscous Micropolar Fluid: Stabilization of the Solution.- On Parameter Classes of Solutions for System of Quasilinear Differential Equations.- Algebraic Proof of the B-Spline Derivative Formula.- Relative Perturbations, Rank Stability and Zero Patterns of Matrices.- Numerical Simulations of Water Wave Propagation and Flooding.- Derivation of a Model of Leaf Springs.- Quantum Site Percolation on Amenable Graphs.- Order of Accuracy of Extended Weno Schemes.