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The Resource Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)
Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)
Resource Information
The item Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts: new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications. The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle. The book is meant for researchers both from academia and industry and graduate students. A prerequisite is knowledge on partial differential equations and numerical linear algebra
 Language
 eng
 Extent
 XII, 243 p. 54 illus., 39 illus. in color.
 Contents

 I Algorithms: new developments and analysis
 II Algorithms: practical methods and implementations
 III Industrial applications.
 Isbn
 9783319288321
 Label
 Modern Solvers for Helmholtz Problems
 Title
 Modern Solvers for Helmholtz Problems
 Statement of responsibility
 edited by Domenico Lahaye, Jok Tang, Kees Vuik
 Subject

 Algebra
 Numerical Analysis
 Functional equations
 Differential equations, Partial
 Numerical analysis
 Functional equations
 Electronic resources
 Numerical analysis
 Mathematics
 Linear and Multilinear Algebras, Matrix Theory
 Differential equations, Partial
 Partial Differential Equations
 Difference equations
 Mathematics
 Difference and Functional Equations
 Algebra
 Difference equations
 Numerical Analysis
 Matrix theory
 Language
 eng
 Summary
 This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts: new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications. The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle. The book is meant for researchers both from academia and industry and graduate students. A prerequisite is knowledge on partial differential equations and numerical linear algebra
 Image bit depth
 0
 LC call number
 QA297299.4
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Lahaye, Domenico.
 Tang, Jok.
 Vuik, Kees.
 SpringerLink
 Series statement
 Geosystems Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Matrix theory
 Algebra
 Difference equations
 Functional equations
 Differential equations, Partial
 Numerical analysis
 Mathematics
 Numerical Analysis
 Partial Differential Equations
 Linear and Multilinear Algebras, Matrix Theory
 Difference and Functional Equations
 Label
 Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 I Algorithms: new developments and analysis  II Algorithms: practical methods and implementations  III Industrial applications.
 Dimensions
 unknown
 Extent
 XII, 243 p. 54 illus., 39 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319288321
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319288321
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319288321
 Label
 Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 I Algorithms: new developments and analysis  II Algorithms: practical methods and implementations  III Industrial applications.
 Dimensions
 unknown
 Extent
 XII, 243 p. 54 illus., 39 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319288321
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319288321
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319288321
Subject
 Algebra
 Algebra
 Difference and Functional Equations
 Difference equations
 Difference equations
 Differential equations, Partial
 Differential equations, Partial
 Electronic resources
 Functional equations
 Functional equations
 Linear and Multilinear Algebras, Matrix Theory
 Mathematics
 Mathematics
 Matrix theory
 Numerical Analysis
 Numerical Analysis
 Numerical analysis
 Numerical analysis
 Partial Differential Equations
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/ModernSolversforHelmholtzProblemseditedby/uJg80ggctqo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/ModernSolversforHelmholtzProblemseditedby/uJg80ggctqo/">Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>