Innovations in wave processes modelling and decision making : grid-characteristic method and applications /: grid-characteristic method and applications. (2018)

• Record Type: Book
• Further Information: Note: Alena V. Favorskaya, Igor B. Petrov, editors.
• Editors: Favorskaya, Alena V; Petrov, Igor B
• Contents: Intro; Preface; Contents; 1 Theory and Practice of Wave Processes Modelling; 1.1 Introduction; 1.2 Chapters Included in the Book; 1.3 Conclusions; References; 2 Interpolation on Unstructured Triangular Grids; 2.1 Introduction; 2.2 Polynomial Interpolation; 2.2.1 Obtaining the Analytical Formulae; 2.2.2 Weights of Reference Points for NÂ =Â 1; 2.2.3 Weights of Reference Points for NÂ =Â 2; 2.2.4 Weights of Reference Points for NÂ =Â 3; 2.2.5 Weights of Reference Points for NÂ =Â 4; 2.2.6 Weights of Reference Points for NÂ =Â 5; 2.3 Piecewise Linear Interpolation. 2.3.1 Algorithms and Analytical Formulae for NÂ =Â 22.3.2 Types of Tables and Their Description; 2.3.3 Tables and Algorithms for NÂ =Â 2; 2.3.4 Algorithms and Analytical Formulae for NÂ =Â 3; 2.3.5 Tables and Algorithms for NÂ =Â 3; 2.3.6 Tables and Algorithms for NÂ =Â 4; 2.3.7 Tables and Algorithms for NÂ =Â 5; 2.4 Several Approaches for Hybrid Interpolation; 2.4.1 Hierarchical Nested Unstructured Triangular Grids; 2.4.2 Formulae for Recalculation from Local to Global Indices; 2.4.3 Hybrid Parabolic Linear Interpolation; 2.4.4 Interpolation Using Minâ#x80;#x93;Max Limiter. 2.4.5 Parabolic Interpolation on Reference Points for Interpolation of Fourth Order2.5 Conclusions; References; 3 Interpolation on Unstructured Tetrahedral Grids; 3.1 Introduction; 3.2 Polynomial Interpolation; 3.2.1 Obtaining the Analytical Formulae; 3.2.2 Weights of Reference Points for NÂ =Â 1; 3.2.3 Weights of Reference Points for NÂ =Â 2; 3.2.4 Weights of Reference Points for NÂ =Â 3; 3.2.5 Weights of Reference Points for NÂ =Â 4; 3.2.6 Weights of Reference Points for NÂ =Â 5; 3.3 Several Approaches for Hybrid Interpolation; 3.3.1 Hierarchical Nested Unstructured Tetrahedral Grids. 3.3.2 Formulae for Recalculation from Local to Global Indices3.3.3 Hybrid Parabolic Linear Interpolation; 3.3.4 Interpolation Using Minâ#x80;#x94;Max Limiter; 3.3.5 Parabolic Interpolation on Reference Points for Interpolation of Fourth Order; 3.4 Conclusions; References; 4 Piecewise Linear Interpolation on Unstructured Tetrahedral Grids; 4.1 Introduction; 4.2 Case of Octahedron; 4.3 Types of Tables and Their Description; 4.4 Tables and Algorithms for NÂ =Â 2; 4.5 Tables and Algorithms for NÂ =Â 3; 4.6 Tables and Algorithms for NÂ =Â 4; 4.7 Tables and Algorithms for NÂ =Â 5; 4.8 Conclusions.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xi, 270 pages), illustrations (some color)
• Subjects: 518/.25; Engineering; Numerical grid generation (Numerical analysis); Computational grids (Computer systems); MATHEMATICS -- Numerical Analysis; Computational grids (Computer systems); Numerical grid generation (Numerical analysis); Engineering; Computational Intelligence; Artificial Intelligence (incl. Robotics); Operations Research/Decision Theory; Computational Science and Engineering; Computers -- Intelligence (AI) & Semantics; Business & Economics -- Operations Research; Computers -- Computer Science; Artificial intelligence; Operational research; Maths for scientists; Artificial intelligence; Operations research; Computer science; Electronic books
• Languages: English
• ISBNs: 9783319762012
• Related ISBNs: 331976201X; 9783319762005; 3319762001
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 20, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.