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The Resource Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester
Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester
Resource Information
The item Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of fluxlimiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advectiondiffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to oddnumbered exercises are available to all readers while evennumbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific an d engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra
 Language
 eng
 Extent
 1 online resource (xi, 368 pages)
 Contents

 Setting the scene
 Boundary and initial data
 The origin of PDEs
 Classification of PDEs
 Boundary value problems in R1
 Finite difference methods in R1
 Maximum principles and energy methods
 Separation of variables
 The method of characteristics
 Finite difference methods for elliptic PDEs
 Finite difference methods for parabolic PDEs
 Finite difference methods for hyperbolic PDEs
 Projects
 Isbn
 9783319225692
 Label
 Essential partial differential equations : analytical and computational aspects
 Title
 Essential partial differential equations
 Title remainder
 analytical and computational aspects
 Statement of responsibility
 David F. Griffiths, John W. Dold, David J. Silvester
 Subject

 Differential equations, Partial
 Differential equations, Partial
 Mathematics
 Electronic books
 Mathematics  Counting & Numeration
 Mathematical modelling
 Differential calculus & equations
 Differential equations, Partial  Numerical solutions
 Partial Differential Equations
 Mathematics  Applied
 Computational Mathematics and Numerical Analysis
 Mathematical Applications in the Physical Sciences
 Mathematics  Differential Equations
 Numerical analysis
 Differential equations, Partial  Numerical solutions
 Language
 eng
 Summary
 This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of fluxlimiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advectiondiffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to oddnumbered exercises are available to all readers while evennumbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific an d engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Griffiths, D. F.
 Dewey number
 515/.353
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA374
 Literary form
 non fiction
 Nature of contents

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

 Dold, John W.
 Silvester, David J.
 Series statement
 Springer undergraduate mathematics series,
 http://library.link/vocab/subjectName

 Differential equations, Partial
 Differential equations, Partial
 Differential calculus & equations
 Mathematical modelling
 Mathematics
 Mathematics
 Mathematics
 Numerical analysis
 Differential equations, Partial
 Differential equations, Partial
 Mathematics
 Partial Differential Equations
 Mathematical Applications in the Physical Sciences
 Computational Mathematics and Numerical Analysis
 Label
 Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester
 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
 Setting the scene  Boundary and initial data  The origin of PDEs  Classification of PDEs  Boundary value problems in R1  Finite difference methods in R1  Maximum principles and energy methods  Separation of variables  The method of characteristics  Finite difference methods for elliptic PDEs  Finite difference methods for parabolic PDEs  Finite difference methods for hyperbolic PDEs  Projects
 Dimensions
 unknown
 Extent
 1 online resource (xi, 368 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319225692
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319225692
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)922970947
 (OCoLC)ocn922970947
 Label
 Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester
 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
 Setting the scene  Boundary and initial data  The origin of PDEs  Classification of PDEs  Boundary value problems in R1  Finite difference methods in R1  Maximum principles and energy methods  Separation of variables  The method of characteristics  Finite difference methods for elliptic PDEs  Finite difference methods for parabolic PDEs  Finite difference methods for hyperbolic PDEs  Projects
 Dimensions
 unknown
 Extent
 1 online resource (xi, 368 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319225692
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319225692
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)922970947
 (OCoLC)ocn922970947
Subject
 Computational Mathematics and Numerical Analysis
 Differential calculus & equations
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Electronic books
 Mathematical Applications in the Physical Sciences
 Mathematical modelling
 Mathematics
 Mathematics  Applied
 Mathematics  Counting & Numeration
 Mathematics  Differential Equations
 Numerical analysis
 Partial Differential Equations
Genre
Member of
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