The Resource Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book)
Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book)
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The item Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book) 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 Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book) 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.
 Language
 eng
 Extent
 1 online resource (259 p.)
 Note
 2 Nonlinear ReactionDiffusion Models
 Contents

 Preface; Acknowledgements; Contents; Contributors; About the Editors; Part I Theory; Optimal Control of Partial Differential Equations; 1 Introduction; 2 Setting of the Model Control Problem; 3 Existence of a Solution; 4 Some Other Control Problems; 4.1 The Linear Quadratic Control Problem; 4.2 A Neumann Boundary Control Problem; 4.3 A Dirichlet Boundary Control Problem; 4.4 A Parabolic Control Problem; 4.5 A Problem with State Constraints; 5 First Order Optimality Conditions; 6 Second Order Optimality Conditions; 7 Numerical Approximation; 8 Convergence of the Approximations
 9 Error Estimates10 Piecewise Linear Approximations of the Controls; 11 Semidiscretization of the Problem (P); 12 Superconvergence and Postprocessing Step; 13 Time Dependent Problems; 14 An Optimization Method; 15 An Example; References; Introduction to FirstPrinciple Simulation of Molecular Systems; 1 Introduction; 2 Optimization in Hilbert Spaces; 3 Introduction to the Spectral Theory of Selfadjoint Operators; 3.1 Linear Operators on Hilbert Spaces; 3.2 Spectrum; 4 The Quantum ManyBody Problem; 4.1 OneParticle Systems; 4.2 ManyParticle Systems; 5 FirstPrinciple Molecular Simulation
 6 HartreeFock Approximation7 Numerical Approximation of Eigenvalues of Selfadjoint Operators; References; Accurate Computations and Applications of Some Classesof Matrices; 1 Introduction; 2 Errors and High Relative Accuracy; 3 PMatrices, MMatrices, Diagonal Dominance and Applications to LC Problems; 4 HRA for Diagonally Dominant MMatrices; 5 Totally Positive Matrices and Bidiagonal Factorizations; 5.1 Neville Elimination and Bidiagonal Factorizations; 5.2 HRA for SBD Matrices; 6 Applications of Totally Positive Matrices to CAGD; 7 HRA for Some Subclasses of TP Matrices
 7.1 HRA with Rational BernsteinVandermonde Matrices7.2 HRA with qBernsteinVandermonde Matrices; 7.3 HRA with JacobiStirling Matrices; References; Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra; 1 Introduction; 1.1 Communication Avoiding Algorithms; 1.2 Different Previous Approaches for Reducing Communication; 1.3 Notations; 2 Lower Bounds on Communication for Dense Linear Algebra; 3 Communication Avoiding LU Factorization; 3.1 Parallel Block LU Factorization; 3.2 Tournament Pivoting; 3.3 Pivoting Strategies and Numerical Stability
 3.4 Selection of References for LU Factorization4 Communication Avoiding QR Factorization; 4.1 Communication Avoiding QR Factorization for a Tall and Skinny Matrix: TSQR; 4.2 Communication Avoiding QR Factorization; 5 Communication Avoiding Rank Revealing Factorization and Low Rank Matrix Approximation; 5.1 Rank Revealing QR Factorization; 5.2 Tournament Pivoting for Selecting a Set of k Columns; 5.3 Low Rank Matrix Approximation for Sparse Matrices; References; Part II Applications; Singular Traveling Waves and Nonlinear ReactionDiffusionEquations; 1 Pattern Formation in Morphogenesis
 Isbn
 9783319496313
 Label
 Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School
 Title
 Computational Mathematics, Numerical Analysis and Applications
 Title remainder
 Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School
 Statement of responsibility
 Mariano Mateos, Pedro Alonso, editors
 Language
 eng
 Cataloging source
 EBLCP
 Dewey number

 518
 510
 Index
 no index present
 LC call number

 QA297
 QA1939
 Literary form
 non fiction
 http://bibfra.me/vocab/lite/meetingDate
 2016
 http://bibfra.me/vocab/lite/meetingName
 'JacquesLouis Lions' SpanishFrench School
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Mateos, Mariano
 Alonso, Pedro
 Series statement
 SEMA SIMAI Springer Series
 Series volume
 v.13
 http://library.link/vocab/subjectName

 Numerical analysis
 Differential equations, Partial
 Computer science
 Label
 Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book)
 Note
 2 Nonlinear ReactionDiffusion Models
 Antecedent source
 file reproduced from an electronic resource
 Color
 not applicable
 Contents

 Preface; Acknowledgements; Contents; Contributors; About the Editors; Part I Theory; Optimal Control of Partial Differential Equations; 1 Introduction; 2 Setting of the Model Control Problem; 3 Existence of a Solution; 4 Some Other Control Problems; 4.1 The Linear Quadratic Control Problem; 4.2 A Neumann Boundary Control Problem; 4.3 A Dirichlet Boundary Control Problem; 4.4 A Parabolic Control Problem; 4.5 A Problem with State Constraints; 5 First Order Optimality Conditions; 6 Second Order Optimality Conditions; 7 Numerical Approximation; 8 Convergence of the Approximations
 9 Error Estimates10 Piecewise Linear Approximations of the Controls; 11 Semidiscretization of the Problem (P); 12 Superconvergence and Postprocessing Step; 13 Time Dependent Problems; 14 An Optimization Method; 15 An Example; References; Introduction to FirstPrinciple Simulation of Molecular Systems; 1 Introduction; 2 Optimization in Hilbert Spaces; 3 Introduction to the Spectral Theory of Selfadjoint Operators; 3.1 Linear Operators on Hilbert Spaces; 3.2 Spectrum; 4 The Quantum ManyBody Problem; 4.1 OneParticle Systems; 4.2 ManyParticle Systems; 5 FirstPrinciple Molecular Simulation
 6 HartreeFock Approximation7 Numerical Approximation of Eigenvalues of Selfadjoint Operators; References; Accurate Computations and Applications of Some Classesof Matrices; 1 Introduction; 2 Errors and High Relative Accuracy; 3 PMatrices, MMatrices, Diagonal Dominance and Applications to LC Problems; 4 HRA for Diagonally Dominant MMatrices; 5 Totally Positive Matrices and Bidiagonal Factorizations; 5.1 Neville Elimination and Bidiagonal Factorizations; 5.2 HRA for SBD Matrices; 6 Applications of Totally Positive Matrices to CAGD; 7 HRA for Some Subclasses of TP Matrices
 7.1 HRA with Rational BernsteinVandermonde Matrices7.2 HRA with qBernsteinVandermonde Matrices; 7.3 HRA with JacobiStirling Matrices; References; Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra; 1 Introduction; 1.1 Communication Avoiding Algorithms; 1.2 Different Previous Approaches for Reducing Communication; 1.3 Notations; 2 Lower Bounds on Communication for Dense Linear Algebra; 3 Communication Avoiding LU Factorization; 3.1 Parallel Block LU Factorization; 3.2 Tournament Pivoting; 3.3 Pivoting Strategies and Numerical Stability
 3.4 Selection of References for LU Factorization4 Communication Avoiding QR Factorization; 4.1 Communication Avoiding QR Factorization for a Tall and Skinny Matrix: TSQR; 4.2 Communication Avoiding QR Factorization; 5 Communication Avoiding Rank Revealing Factorization and Low Rank Matrix Approximation; 5.1 Rank Revealing QR Factorization; 5.2 Tournament Pivoting for Selecting a Set of k Columns; 5.3 Low Rank Matrix Approximation for Sparse Matrices; References; Part II Applications; Singular Traveling Waves and Nonlinear ReactionDiffusionEquations; 1 Pattern Formation in Morphogenesis
 Dimensions
 unknown
 Extent
 1 online resource (259 p.)
 File format
 one file format
 Form of item
 online
 Isbn
 9783319496313
 Level of compression
 unknown
 Quality assurance targets
 unknown
 Reformatting quality
 unknown
 Specific material designation
 remote
 Label
 Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book)
 Note
 2 Nonlinear ReactionDiffusion Models
 Antecedent source
 file reproduced from an electronic resource
 Color
 not applicable
 Contents

 Preface; Acknowledgements; Contents; Contributors; About the Editors; Part I Theory; Optimal Control of Partial Differential Equations; 1 Introduction; 2 Setting of the Model Control Problem; 3 Existence of a Solution; 4 Some Other Control Problems; 4.1 The Linear Quadratic Control Problem; 4.2 A Neumann Boundary Control Problem; 4.3 A Dirichlet Boundary Control Problem; 4.4 A Parabolic Control Problem; 4.5 A Problem with State Constraints; 5 First Order Optimality Conditions; 6 Second Order Optimality Conditions; 7 Numerical Approximation; 8 Convergence of the Approximations
 9 Error Estimates10 Piecewise Linear Approximations of the Controls; 11 Semidiscretization of the Problem (P); 12 Superconvergence and Postprocessing Step; 13 Time Dependent Problems; 14 An Optimization Method; 15 An Example; References; Introduction to FirstPrinciple Simulation of Molecular Systems; 1 Introduction; 2 Optimization in Hilbert Spaces; 3 Introduction to the Spectral Theory of Selfadjoint Operators; 3.1 Linear Operators on Hilbert Spaces; 3.2 Spectrum; 4 The Quantum ManyBody Problem; 4.1 OneParticle Systems; 4.2 ManyParticle Systems; 5 FirstPrinciple Molecular Simulation
 6 HartreeFock Approximation7 Numerical Approximation of Eigenvalues of Selfadjoint Operators; References; Accurate Computations and Applications of Some Classesof Matrices; 1 Introduction; 2 Errors and High Relative Accuracy; 3 PMatrices, MMatrices, Diagonal Dominance and Applications to LC Problems; 4 HRA for Diagonally Dominant MMatrices; 5 Totally Positive Matrices and Bidiagonal Factorizations; 5.1 Neville Elimination and Bidiagonal Factorizations; 5.2 HRA for SBD Matrices; 6 Applications of Totally Positive Matrices to CAGD; 7 HRA for Some Subclasses of TP Matrices
 7.1 HRA with Rational BernsteinVandermonde Matrices7.2 HRA with qBernsteinVandermonde Matrices; 7.3 HRA with JacobiStirling Matrices; References; Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra; 1 Introduction; 1.1 Communication Avoiding Algorithms; 1.2 Different Previous Approaches for Reducing Communication; 1.3 Notations; 2 Lower Bounds on Communication for Dense Linear Algebra; 3 Communication Avoiding LU Factorization; 3.1 Parallel Block LU Factorization; 3.2 Tournament Pivoting; 3.3 Pivoting Strategies and Numerical Stability
 3.4 Selection of References for LU Factorization4 Communication Avoiding QR Factorization; 4.1 Communication Avoiding QR Factorization for a Tall and Skinny Matrix: TSQR; 4.2 Communication Avoiding QR Factorization; 5 Communication Avoiding Rank Revealing Factorization and Low Rank Matrix Approximation; 5.1 Rank Revealing QR Factorization; 5.2 Tournament Pivoting for Selecting a Set of k Columns; 5.3 Low Rank Matrix Approximation for Sparse Matrices; References; Part II Applications; Singular Traveling Waves and Nonlinear ReactionDiffusionEquations; 1 Pattern Formation in Morphogenesis
 Dimensions
 unknown
 Extent
 1 online resource (259 p.)
 File format
 one file format
 Form of item
 online
 Isbn
 9783319496313
 Level of compression
 unknown
 Quality assurance targets
 unknown
 Reformatting quality
 unknown
 Specific material designation
 remote
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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/ComputationalMathematicsNumericalAnalysisand/uypkIza2DIY/" 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/ComputationalMathematicsNumericalAnalysisand/uypkIza2DIY/">Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School, Mariano Mateos, Pedro Alonso, editors, (electronic book)</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>