The Resource Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors
Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors
Resource Information
The item Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 This book presents methods for fullwave computer simulation that can be used in various applications and contexts, e.g. seismic prospecting, earthquake stability, global seismic patterns on Earth and Mars, medicine, traumatology, ultrasound investigation of the human body, ultrasound and laser operations, ultrasonic nondestructive railway testing, modelling aircraft composites, modelling composite material delamination, etc. The key innovation of this approach is the ability to study spatial dynamical wave processes, which is made possible by cuttingedge numerical finitedifference gridcharacteristic methods. The book will benefit all students, researchers, practitioners and professors interested in numerical mathematics, computer science, computer simulation, highperformance computer systems, unstructured meshes, interpolation, seismic prospecting, geophysics, medicine, nondestructive testing and composite materials
 Language
 eng
 Extent
 1 online resource (xi, 270 pages)
 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
 Isbn
 9783319762012
 Label
 Innovations in wave processes modelling and decision making : gridcharacteristic method and applications
 Title
 Innovations in wave processes modelling and decision making
 Title remainder
 gridcharacteristic method and applications
 Statement of responsibility
 Alena V. Favorskaya, Igor B. Petrov, editors
 Language
 eng
 Summary
 This book presents methods for fullwave computer simulation that can be used in various applications and contexts, e.g. seismic prospecting, earthquake stability, global seismic patterns on Earth and Mars, medicine, traumatology, ultrasound investigation of the human body, ultrasound and laser operations, ultrasonic nondestructive railway testing, modelling aircraft composites, modelling composite material delamination, etc. The key innovation of this approach is the ability to study spatial dynamical wave processes, which is made possible by cuttingedge numerical finitedifference gridcharacteristic methods. The book will benefit all students, researchers, practitioners and professors interested in numerical mathematics, computer science, computer simulation, highperformance computer systems, unstructured meshes, interpolation, seismic prospecting, geophysics, medicine, nondestructive testing and composite materials
 Cataloging source
 GW5XE
 Dewey number
 518/.25
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA377
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Favorskaya, Alena V.
 Petrov, Igor B.
 Series statement
 Smart innovation, systems and technologies,
 Series volume
 volume 90
 http://library.link/vocab/subjectName

 Numerical grid generation (Numerical analysis)
 Computational grids (Computer systems)
 Engineering
 Computational Intelligence
 Artificial Intelligence (incl. Robotics)
 Operations Research/Decision Theory
 Computational Science and Engineering
 Label
 Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 SPR1023626904
 Dimensions
 unknown
 Extent
 1 online resource (xi, 270 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319762012
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319762012
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 on1023626904
 (OCoLC)1023626904
 Label
 Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 SPR1023626904
 Dimensions
 unknown
 Extent
 1 online resource (xi, 270 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319762012
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319762012
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 on1023626904
 (OCoLC)1023626904
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Innovationsinwaveprocessesmodellingand/zQJuOGwP78/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Innovationsinwaveprocessesmodellingand/zQJuOGwP78/">Innovations in wave processes modelling and decision making : gridcharacteristic method and applications, Alena V. Favorskaya, Igor B. Petrov, editors</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>