Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry --- Geometry, Modern --- Convex bodies. --- Convex surfaces --- 514.1 --- Convex bodies --- #TCPW W1.0 --- #TCPW W1.1 --- Modern geometry --- Sphere --- Convex areas --- Convex domains --- Surfaces --- General geometry --- Convex surfaces. --- Geometry, Modern. --- 514.1 General geometry --- Géometrie convexe

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces. However, the theory without convexity condition is covered for the first time in this book. This shows that we are really working with a new, important and interesting field. Theory of functions and nonlinear analysis problems are widespread in the mathematical modeling of real world systems in a very broad range of applications. During the past three decades many new results from the author have helped to solve multiextreme problems arising from important situations, non-c

Holomorphic functions. --- Functional analysis. --- Convexity spaces. --- Convex surfaces. --- Complexes. --- Linear complexes --- Algebras, Linear --- Coordinates --- Geometry --- Line geometry --- Transformations (Mathematics) --- Convex areas --- Convex domains --- Surfaces --- Spaces, Convexity --- Convex sets --- Vector spaces --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functions, Holomorphic --- Functions of several complex variables

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

­The present book provides an introduction to using space-filling curves (SFC) as tools in scientific computing. Special focus is laid on the representation of SFC and on resulting algorithms. For example, grammar-based techniques are introduced for traversals of Cartesian and octree-type meshes, and arithmetisation of SFC is explained to compute SFC mappings and indexings. ­The locality properties of SFC are discussed in detail, together with their importance for algorithms. Templates for parallelisation and cache-efficient algorithms are presented to reflect the most important applications of SFC in scientific computing. Special attention is also given to the interplay of adaptive mesh refinement and SFC, including the structured refinement of triangular and tetrahedral grids. For each topic, a short overview is given on the most important publications and recent research activities.

Computer science --- Curves on surfaces. --- 519.6 --- 514.1 --- Surfaces, Curves on --- Computational mathematics. Numerical analysis. Computer programming --- General geometry --- Covering spaces (Topology). --- Curves of double curvature. --- Geometry, Differential. --- Curves --- Curves on surfaces --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Geometry --- Mathematical models --- 514.1 General geometry --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Convex surfaces. --- Convex areas --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Algorithms. --- Computer mathematics. --- Computational Science and Engineering. --- Applications of Mathematics. --- Math Applications in Computer Science. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algorism --- Algebra --- Arithmetic --- Engineering --- Engineering analysis --- Mathematical analysis --- Math --- Science --- Foundations --- Convex domains --- Surfaces --- Computer science. --- Informatics --- Mathematical models. --- Computer science—Mathematics.