Computational acoustics : (Record no. 5188)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 06594cam a22003618i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 20029085 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200102124115.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170919s2018 nju b 001 0 eng c |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2017036469 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119277286 (cloth) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | WaSeSS/DLC |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | WaSeSS |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC243 |
| Item number | .B38 2018 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 620.2 BER |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bergman, David R., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Computational acoustics : |
| Remainder of title | theory and implementation / |
| Statement of responsibility, etc. | David R. Bergman. |
| 263 ## - PROJECTED PUBLICATION DATE | |
| Projected publication date | 1802 |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Hoboken, NJ : |
| Name of producer, publisher, distributor, manufacturer | John Wiley & Sons, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 279 p. |
| Dimensions | 23 cm |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | unmediated |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | volume |
| Source | rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Series Preface ix<br/><br/><br/>1 Introduction 1<br/><br/><br/>2 Computation and Related Topics 5<br/><br/><br/>2.1 Floating-Point Numbers 5<br/><br/><br/>2.1.1 Representations of Numbers 5<br/><br/><br/>2.1.2 Floating-Point Numbers 7<br/><br/><br/>2.2 Computational Cost 9<br/><br/><br/>2.3 Fidelity 11<br/><br/><br/>2.4 Code Development 12<br/><br/><br/>2.5 List of Open-Source Tools 16<br/><br/><br/>2.6 Exercises 17<br/><br/><br/>References 17<br/><br/><br/>3 Derivation of the Wave Equation 19<br/><br/><br/>3.1 Introduction 19<br/><br/><br/>3.2 General Properties of Waves 20<br/><br/><br/>3.3 One-Dimensional Waves on a String 23<br/><br/><br/>3.4 Waves in Elastic Solids 26<br/><br/><br/>3.5 Waves in Ideal Fluids 29<br/><br/><br/>3.5.1 Setting Up the Derivation 29<br/><br/><br/>3.5.2 A Simple Example 30<br/><br/><br/>3.5.3 Linearized Equations 31<br/><br/><br/>3.5.4 A Second-Order Equation from Differentiation 33<br/><br/><br/>3.5.5 A Second-Order Equation from a Velocity Potential 34<br/><br/><br/>3.5.6 Second-Order Equation without Perturbations 36<br/><br/><br/>3.5.7 Special Form of the Operator 36<br/><br/><br/>3.5.8 Discussion Regarding Fluid Acoustics 40<br/><br/><br/>3.6 Thin Rods and Plates 41<br/><br/><br/>3.7 Phonons 42<br/><br/><br/>3.8 Tensors Lite 42<br/><br/><br/>3.9 Exercises 48<br/><br/><br/>References 48<br/><br/><br/>4 Methods for Solving the Wave Equation 49<br/><br/><br/>4.1 Introduction 49<br/><br/><br/>4.2 Method of Characteristics 49<br/><br/><br/>4.3 Separation of Variables 56<br/><br/><br/>4.4 Homogeneous Solution in Separable Coordinates 57<br/><br/><br/>4.4.1 Cartesian Coordinates 58<br/><br/><br/>4.4.2 Cylindrical Coordinates 59<br/><br/><br/>4.4.3 Spherical Coordinates 61<br/><br/><br/>4.5 Boundary Conditions 63<br/><br/><br/>4.6 Representing Functions with the Homogeneous Solutions 67<br/><br/><br/>4.7 Green's Function 70<br/><br/><br/>4.7.1 Green's Function in Free Space 70<br/><br/><br/>4.7.2 Mode Expansion of Green's Functions 72<br/><br/><br/>4.8 Method of Images 76<br/><br/><br/>4.9 Comparison of Modes to Images 81<br/><br/><br/>4.10 Exercises 82<br/><br/><br/>References 82<br/><br/><br/>5 Wave Propagation 85<br/><br/><br/>5.1 Introduction 85<br/><br/><br/>5.2 Fourier Decomposition and Synthesis 85<br/><br/><br/>5.3 Dispersion 88<br/><br/><br/>5.4 Transmission and Reflection 90<br/><br/><br/>5.5 Attenuation 96<br/><br/><br/>5.6 Exercises 97<br/><br/><br/>References 97<br/><br/><br/>6 Normal Modes 99<br/><br/><br/>6.1 Introduction 99<br/><br/><br/>6.2 Mode Theory 100<br/><br/><br/>6.3 Profile Models 101<br/><br/><br/>6.4 Analytic Examples 105<br/><br/><br/>6.4.1 Example 1: Harmonic Oscillator 105<br/><br/><br/>6.4.2 Example 2: Linear 108<br/><br/><br/>6.5 Perturbation Theory 110<br/><br/><br/>6.6 Multidimensional Problems and Degeneracy 118<br/><br/><br/>6.7 Numerical Approach to Modes 120<br/><br/><br/>6.7.1 Derivation of the Relaxation Equation 120<br/><br/><br/>6.7.2 Boundary Conditions in the Relaxation Method 125<br/><br/><br/>6.7.3 Initializing the Relaxation 127<br/><br/><br/>6.7.4 Stopping the Relaxation 128<br/><br/><br/>6.8 Coupled Modes and the Pekeris Waveguide 129<br/><br/><br/>6.8.1 Pekeris Waveguide 129<br/><br/><br/>6.8.2 Coupled Modes 131<br/><br/><br/>6.9 Exercises 135<br/><br/><br/>References 135<br/><br/><br/>7 Ray Theory 137<br/><br/><br/>7.1 Introduction 137<br/><br/><br/>7.2 High Frequency Expansion of the Wave Equation 138<br/><br/><br/>7.2.1 Eikonal Equation and Ray Paths 139<br/><br/><br/>7.2.2 Paraxial Rays 140<br/><br/><br/>7.3 Amplitude 144<br/><br/><br/>7.4 Ray Path Integrals 145<br/><br/><br/>7.5 Building a Field from Rays 160<br/><br/><br/>7.6 Numerical Approach to Ray Tracing 162<br/><br/><br/>7.7 Complete Paraxial Ray Trace 168<br/><br/><br/>7.8 Implementation Notes 170<br/><br/><br/>7.9 Gaussian Beam Tracing 171<br/><br/><br/>7.10 Exercises 173<br/><br/><br/>References 174<br/><br/><br/>8 Finite Difference and Finite Difference Time Domain 177<br/><br/><br/>8.1 Introduction 177<br/><br/><br/>8.2 Finite Difference 178<br/><br/><br/>8.3 Time Domain 188<br/><br/><br/>8.4 FDTD Representation of the Linear Wave Equation 193<br/><br/><br/>8.5 Exercises 197<br/><br/><br/>References 197<br/><br/><br/>9 Parabolic Equation 199<br/><br/><br/>9.1 Introduction 199<br/><br/><br/>9.2 The Paraxial Approximation 199<br/><br/><br/>9.3 Operator Factoring 201<br/><br/><br/>9.4 Pauli Spin Matrices 204<br/><br/><br/>9.5 Reduction of Order 205<br/><br/><br/>9.5.1 The Pade Approximation 207<br/><br/><br/>9.5.2 Phase Space Representation 208<br/><br/><br/>9.5.3 Diagonalizing the Hamiltonian 209<br/><br/><br/>9.6 Numerical Approach 210<br/><br/><br/>9.7 Exercises 212<br/><br/><br/>References 212<br/><br/><br/>10 Finite Element Method 215<br/><br/><br/>10.1 Introduction 215<br/><br/><br/>10.2 The Finite Element Technique 216<br/><br/><br/>10.3 Discretization of the Domain 218<br/><br/><br/>10.3.1 One-Dimensional Domains 218<br/><br/><br/>10.3.2 Two-Dimensional Domains 219<br/><br/><br/>10.3.3 Three-Dimensional Domains 222<br/><br/><br/>10.3.4 Using Gmsh 223<br/><br/><br/>10.4 Defining Basis Elements 225<br/><br/><br/>10.4.1 One-Dimensional Basis Elements 226<br/><br/><br/>10.4.2 Two-Dimensional Basis Elements 227<br/><br/><br/>10.4.3 Three-Dimensional Basis Elements 229<br/><br/><br/>10.5 Expressing the Helmholtz Equation in the FEM Basis 232<br/><br/><br/>10.6 Numerical Integration over Triangular and Tetrahedral Domains 234<br/><br/><br/>10.6.1 Gaussian Quadrature 234<br/><br/><br/>10.6.2 Integration over Triangular Domains 235<br/><br/><br/>10.6.3 Integration over Tetrahedral Domains 239<br/><br/><br/>10.7 Implementation Notes 240<br/><br/><br/>10.8 Exercises 240<br/><br/><br/>References 241<br/><br/><br/>11 Boundary Element Method 243<br/><br/><br/>11.1 Introduction 243<br/><br/><br/>11.2 The Boundary Integral Equations 244<br/><br/><br/>11.3 Discretization of the BIE 249<br/><br/><br/>11.4 Basis Elements and Test Functions 253<br/><br/><br/>11.5 Coupling Integrals 254<br/><br/><br/>11.5.1 Derivation of Coupling Terms 254<br/><br/><br/>11.5.2 Singularity Extraction 256<br/><br/><br/>11.5.3 Evaluation of the Singular Part 260<br/><br/><br/>11.5.3.1 Closed-Form Expression for the Singular Part of K 260<br/><br/><br/>11.5.3.2 Method for Partial Analytic Evaluation 261<br/><br/><br/>11.5.3.3 The Hypersingular Integral 266<br/><br/><br/>11.6 Scattering from Closed Surfaces 267<br/><br/><br/>11.7 Implementation Notes 269<br/><br/><br/>11.8 Comments on Additional Techniques 271<br/><br/><br/>11.8.1 Higher-Order Methods 271<br/><br/><br/>11.8.2 Body of Revolution 272<br/><br/><br/>11.9 Exercises 273<br/><br/><br/>References 273<br/><br/><br/>Index 275 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Sound-waves |
| General subdivision | Measurement. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Sound-waves |
| General subdivision | Computer simulation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Sound-waves |
| General subdivision | Mathematical models. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Online version: |
| Main entry heading | Bergman, David R., author. |
| Title | Computational acoustics |
| Place, publisher, and date of publication | Hoboken, NJ : John Wiley & Sons, 2018 |
| International Standard Book Number | 9781119277330 |
| Record control number | (DLC) 2017046745 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
| a | 7 |
| b | cbc |
| c | orignew |
| d | 1 |
| e | ecip |
| f | 20 |
| g | y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Stack text books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | R-65/2 | All India Institute of Speech and Hearing | All India Institute of Speech and Hearing | 02/01/2020 | 620.2 BER | 22274 | 02/01/2020 | 02/01/2020 | Reference text books |