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The Resource Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School, Mariano Mateos, Pedro Alonso, editors, (electronic book)

Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School, Mariano Mateos, Pedro Alonso, editors, (electronic book)

Label
Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School
Title
Computational Mathematics, Numerical Analysis and Applications
Title remainder
Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School
Statement of responsibility
Mariano Mateos, Pedro Alonso, editors
Creator
Contributor
Subject
Genre
Language
eng
Member of
Cataloging source
EBLCP
Dewey number
  • 518
  • 510
Index
no index present
LC call number
  • QA297
  • QA1-939
Literary form
non fiction
http://bibfra.me/vocab/lite/meetingDate
2016
http://bibfra.me/vocab/lite/meetingName
'Jacques-Louis Lions' Spanish-French 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 'Jacques-Louis Lions' Spanish-French School, Mariano Mateos, Pedro Alonso, editors, (electronic book)
Instantiates
Publication
Note
2 Nonlinear Reaction-Diffusion 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 First-Principle Simulation of Molecular Systems; 1 Introduction; 2 Optimization in Hilbert Spaces; 3 Introduction to the Spectral Theory of Self-adjoint Operators; 3.1 Linear Operators on Hilbert Spaces; 3.2 Spectrum; 4 The Quantum Many-Body Problem; 4.1 One-Particle Systems; 4.2 Many-Particle Systems; 5 First-Principle Molecular Simulation
  • 6 Hartree-Fock Approximation7 Numerical Approximation of Eigenvalues of Self-adjoint Operators; References; Accurate Computations and Applications of Some Classesof Matrices; 1 Introduction; 2 Errors and High Relative Accuracy; 3 P-Matrices, M-Matrices, Diagonal Dominance and Applications to LC Problems; 4 HRA for Diagonally Dominant M-Matrices; 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 Bernstein-Vandermonde Matrices7.2 HRA with q-Bernstein-Vandermonde Matrices; 7.3 HRA with Jacobi-Stirling 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 Non-linear Reaction-DiffusionEquations; 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 'Jacques-Louis Lions' Spanish-French School, Mariano Mateos, Pedro Alonso, editors, (electronic book)
Publication
Note
2 Nonlinear Reaction-Diffusion 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 First-Principle Simulation of Molecular Systems; 1 Introduction; 2 Optimization in Hilbert Spaces; 3 Introduction to the Spectral Theory of Self-adjoint Operators; 3.1 Linear Operators on Hilbert Spaces; 3.2 Spectrum; 4 The Quantum Many-Body Problem; 4.1 One-Particle Systems; 4.2 Many-Particle Systems; 5 First-Principle Molecular Simulation
  • 6 Hartree-Fock Approximation7 Numerical Approximation of Eigenvalues of Self-adjoint Operators; References; Accurate Computations and Applications of Some Classesof Matrices; 1 Introduction; 2 Errors and High Relative Accuracy; 3 P-Matrices, M-Matrices, Diagonal Dominance and Applications to LC Problems; 4 HRA for Diagonally Dominant M-Matrices; 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 Bernstein-Vandermonde Matrices7.2 HRA with q-Bernstein-Vandermonde Matrices; 7.3 HRA with Jacobi-Stirling 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 Non-linear Reaction-DiffusionEquations; 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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