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The Resource New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors

New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors

Label
New trends in parameter identification for mathematical models
Title
New trends in parameter identification for mathematical models
Statement of responsibility
Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors
Creator
Contributor
Editor
Subject
Genre
Language
eng
Summary
The Proceedings volume contains 16 contributions to the IMPA conference zNew Trends in Parameter Identification for Mathematical Modelsy, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the zChemnitz Symposium on Inverse Problems on Toury.  This conference is part of the zThematic Program on Parameter Identification in Mathematical Modelsy organized  at IMPA in October and November 2017. One goal is to foster the scientific collaboration between mathematicians and engineers from the Brazialian, European and Asian communities. Main topics are iterative and variational regularization methods in Hilbert and Banach spaces for the stable approximate solution of ill-posed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography ,  solution of coupled conduction-radiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.--
Member of
Assigning source
Provided by publisher
Cataloging source
N$T
Dewey number
511/.8
Index
no index present
LC call number
QA401
Literary form
non fiction
http://bibfra.me/vocab/lite/meetingDate
2017
http://bibfra.me/vocab/lite/meetingName
IMPA Conference "New Trends in Parameter Identification for Mathematical Models"
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Hofmann, Bernd
  • Leitão, Antonio
  • Zubelli, Jorge P.
Series statement
Trends in mathematics
http://library.link/vocab/subjectName
Mathematical models
Label
New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors
Instantiates
Publication
Antecedent source
unknown
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
  • Intro; Preface; Contents; Posterior Contraction in Bayesian Inverse Problems Under Gaussian Priors; 1 Setup; 1.1 Squared Posterior Contraction; 1.2 Paradigm; 1.3 Outline; 2 Setting the Pace; 3 Assumptions and Main Results; 3.1 Link Conditions, Source Sets and Qualification; 3.2 Bounding the Bias; 3.3 The Net Posterior Spread; 3.4 Main Result: Bounding the Squared Posterior Contraction; 4 Examples and Discussion; 4.1 Sobolev Smoothness; 4.1.1 Moderately Ill-Posed Operator; 4.1.2 Severely Ill-Posed Operator; 4.2 Analytic-Type Smoothness; 4.2.1 Moderately Ill-Posed Operator
  • 4.2.2 Severely Ill-Posed Operator4.3 Summary and Discussion; Appendix; References; Convex Regularization of Discrete-Valued Inverse Problems; 1 Introduction; 2 Multi-Bang Penalty; 3 Multi-Bang Regularization; 4 Pointwise Convergence; 5 Structure of Minimizers; 6 Numerical Solution; 7 Numerical Examples; 8 Conclusion; References; Algebraic Reconstruction of Source and Attenuation in SPECT Using First Scattering Measurements; 1 Introduction; 2 Model Description; 2.1 Integral Operators; 2.2 Ballistic and First Scattering Measurements; 3 Inverse Problem; 3.1 Albedo Operator
  • 3.2 Linearized Inverse Problem4 Reconstruction Algorithm; 4.1 Linear System and General Algorithm; 4.2 Discretization and Matrices Construction; 4.2.1 Matrix A0 Construction; 4.2.2 Matrix A1 Construction; 5 Numerical Experiments; References; On 1-Regularization Under Continuity of the Forward Operator in Weaker Topologies; 1 Introduction; 2 Preliminaries and Basic Propositions; 3 Ill-Posedness and Conditional Stability; 4 Convergence Rates Results for 1-Regularization; 5 Extensions to Non-reflexive Image Spaces; 6 The Well-Posed Case and Further Discussions; References
  • On Self-regularization of Ill-Posed Problems in Banach Spaces by Projection Methods1 Introduction; 2 The General Projection Method; 2.1 Convergence with A Priori Choice of n; 2.2 Convergence with A Posteriori Choice of n: The Discrepancy Principle; 3 The Least Squares Method; 4 Application: Collocation Method for Volterra Integral Equations; 4.1 Cordial Integral Equations; 4.2 Polynomial Collocation Method for Cordial Integral Equations, Numerical Results; 4.3 Spline-Collocation for Volterra Integral Equation, Numerical Results; References
  • Monotonicity-Based Regularization for Phantom Experiment Data in Electrical Impedance Tomography1 Introduction; 2 Mathematical Setting; 3 Monotonicity-Based Regularization; 3.1 Standard One-Step Linearization Methods; 3.2 Monotonicity-Based Regularization; 4 Numerical Results; 4.1 Experiment Setting; 4.2 Numerical Implementation; 4.3 Minimizing the Residuum; 5 Conclusions; References; An SVD in Spherical Surface Wave Tomography; 1 Introduction; 2 Fourier Analysis on S2 and SO(3); 2.1 Harmonic Analysis on the Sphere; 2.2 Rotational Harmonics; 2.3 Singular Value Decomposition; 3 Circle Arcs
Control code
SPR1023427943
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319708249
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1023427943
  • (OCoLC)1023427943
Label
New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors
Publication
Antecedent source
unknown
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
  • Intro; Preface; Contents; Posterior Contraction in Bayesian Inverse Problems Under Gaussian Priors; 1 Setup; 1.1 Squared Posterior Contraction; 1.2 Paradigm; 1.3 Outline; 2 Setting the Pace; 3 Assumptions and Main Results; 3.1 Link Conditions, Source Sets and Qualification; 3.2 Bounding the Bias; 3.3 The Net Posterior Spread; 3.4 Main Result: Bounding the Squared Posterior Contraction; 4 Examples and Discussion; 4.1 Sobolev Smoothness; 4.1.1 Moderately Ill-Posed Operator; 4.1.2 Severely Ill-Posed Operator; 4.2 Analytic-Type Smoothness; 4.2.1 Moderately Ill-Posed Operator
  • 4.2.2 Severely Ill-Posed Operator4.3 Summary and Discussion; Appendix; References; Convex Regularization of Discrete-Valued Inverse Problems; 1 Introduction; 2 Multi-Bang Penalty; 3 Multi-Bang Regularization; 4 Pointwise Convergence; 5 Structure of Minimizers; 6 Numerical Solution; 7 Numerical Examples; 8 Conclusion; References; Algebraic Reconstruction of Source and Attenuation in SPECT Using First Scattering Measurements; 1 Introduction; 2 Model Description; 2.1 Integral Operators; 2.2 Ballistic and First Scattering Measurements; 3 Inverse Problem; 3.1 Albedo Operator
  • 3.2 Linearized Inverse Problem4 Reconstruction Algorithm; 4.1 Linear System and General Algorithm; 4.2 Discretization and Matrices Construction; 4.2.1 Matrix A0 Construction; 4.2.2 Matrix A1 Construction; 5 Numerical Experiments; References; On 1-Regularization Under Continuity of the Forward Operator in Weaker Topologies; 1 Introduction; 2 Preliminaries and Basic Propositions; 3 Ill-Posedness and Conditional Stability; 4 Convergence Rates Results for 1-Regularization; 5 Extensions to Non-reflexive Image Spaces; 6 The Well-Posed Case and Further Discussions; References
  • On Self-regularization of Ill-Posed Problems in Banach Spaces by Projection Methods1 Introduction; 2 The General Projection Method; 2.1 Convergence with A Priori Choice of n; 2.2 Convergence with A Posteriori Choice of n: The Discrepancy Principle; 3 The Least Squares Method; 4 Application: Collocation Method for Volterra Integral Equations; 4.1 Cordial Integral Equations; 4.2 Polynomial Collocation Method for Cordial Integral Equations, Numerical Results; 4.3 Spline-Collocation for Volterra Integral Equation, Numerical Results; References
  • Monotonicity-Based Regularization for Phantom Experiment Data in Electrical Impedance Tomography1 Introduction; 2 Mathematical Setting; 3 Monotonicity-Based Regularization; 3.1 Standard One-Step Linearization Methods; 3.2 Monotonicity-Based Regularization; 4 Numerical Results; 4.1 Experiment Setting; 4.2 Numerical Implementation; 4.3 Minimizing the Residuum; 5 Conclusions; References; An SVD in Spherical Surface Wave Tomography; 1 Introduction; 2 Fourier Analysis on S2 and SO(3); 2.1 Harmonic Analysis on the Sphere; 2.2 Rotational Harmonics; 2.3 Singular Value Decomposition; 3 Circle Arcs
Control code
SPR1023427943
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319708249
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1023427943
  • (OCoLC)1023427943

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