Numerical Geometry, Grid Generation and Scientific Computing: Proceedings of the 9th International Conference, Numgrid 2018 / Voronoi 150, Celebrating, Garanzha Vladimir A., Kamenski Lennard, Si Hang
Автор: Aurenhammer Franz Название: Voronoi Diagrams and Delaunay Triangulations ISBN: 9814447633 ISBN-13(EAN): 9789814447638 Издательство: World Scientific Publishing Рейтинг: Цена: 13556.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute collision-free paths for mobile robots, to reconstruct curves and surfaces from sample points, to refine triangular meshes, and to design location strategies for competing markets.This unique book offers a state-of-the-art view of Voronoi diagrams and their structure, and it provides efficient algorithms towards their computation.Readers with an entry-level background in algorithms can enjoy a guided tour of gently increasing difficulty through a fascinating area. Lecturers might find this volume a welcome source for their courses on computational geometry. Experts are offered a broader view, including many alternative solutions, and up-to-date references to the existing literature; they might benefit in their own research or application development.
Автор: Vladimir A. Garanzha; Lennard Kamenski; Hang Si Название: Numerical Geometry, Grid Generation and Scientific Computing ISBN: 3030234355 ISBN-13(EAN): 9783030234355 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Voronoi diagrams and their applications, celebrating the 150th birthday of G.F. Voronoi. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.
Описание: 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.
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