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
Resource Information
The item New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors 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 New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors 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.
 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 illposed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography ,  solution of coupled conductionradiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.
 Language
 eng
 Extent
 1 online resource.
 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 IllPosed Operator; 4.1.2 Severely IllPosed Operator; 4.2 AnalyticType Smoothness; 4.2.1 Moderately IllPosed Operator
 4.2.2 Severely IllPosed Operator4.3 Summary and Discussion; Appendix; References; Convex Regularization of DiscreteValued Inverse Problems; 1 Introduction; 2 MultiBang Penalty; 3 MultiBang 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 1Regularization Under Continuity of the Forward Operator in Weaker Topologies; 1 Introduction; 2 Preliminaries and Basic Propositions; 3 IllPosedness and Conditional Stability; 4 Convergence Rates Results for 1Regularization; 5 Extensions to Nonreflexive Image Spaces; 6 The WellPosed Case and Further Discussions; References
 On Selfregularization of IllPosed 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 SplineCollocation for Volterra Integral Equation, Numerical Results; References
 MonotonicityBased Regularization for Phantom Experiment Data in Electrical Impedance Tomography1 Introduction; 2 Mathematical Setting; 3 MonotonicityBased Regularization; 3.1 Standard OneStep Linearization Methods; 3.2 MonotonicityBased 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
 Isbn
 9783319708249
 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
 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 illposed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography ,  solution of coupled conductionradiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.
 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
 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 IllPosed Operator; 4.1.2 Severely IllPosed Operator; 4.2 AnalyticType Smoothness; 4.2.1 Moderately IllPosed Operator
 4.2.2 Severely IllPosed Operator4.3 Summary and Discussion; Appendix; References; Convex Regularization of DiscreteValued Inverse Problems; 1 Introduction; 2 MultiBang Penalty; 3 MultiBang 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 1Regularization Under Continuity of the Forward Operator in Weaker Topologies; 1 Introduction; 2 Preliminaries and Basic Propositions; 3 IllPosedness and Conditional Stability; 4 Convergence Rates Results for 1Regularization; 5 Extensions to Nonreflexive Image Spaces; 6 The WellPosed Case and Further Discussions; References
 On Selfregularization of IllPosed 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 SplineCollocation for Volterra Integral Equation, Numerical Results; References
 MonotonicityBased Regularization for Phantom Experiment Data in Electrical Impedance Tomography1 Introduction; 2 Mathematical Setting; 3 MonotonicityBased Regularization; 3.1 Standard OneStep Linearization Methods; 3.2 MonotonicityBased 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
 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 IllPosed Operator; 4.1.2 Severely IllPosed Operator; 4.2 AnalyticType Smoothness; 4.2.1 Moderately IllPosed Operator
 4.2.2 Severely IllPosed Operator4.3 Summary and Discussion; Appendix; References; Convex Regularization of DiscreteValued Inverse Problems; 1 Introduction; 2 MultiBang Penalty; 3 MultiBang 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 1Regularization Under Continuity of the Forward Operator in Weaker Topologies; 1 Introduction; 2 Preliminaries and Basic Propositions; 3 IllPosedness and Conditional Stability; 4 Convergence Rates Results for 1Regularization; 5 Extensions to Nonreflexive Image Spaces; 6 The WellPosed Case and Further Discussions; References
 On Selfregularization of IllPosed 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 SplineCollocation for Volterra Integral Equation, Numerical Results; References
 MonotonicityBased Regularization for Phantom Experiment Data in Electrical Impedance Tomography1 Introduction; 2 Mathematical Setting; 3 MonotonicityBased Regularization; 3.1 Standard OneStep Linearization Methods; 3.2 MonotonicityBased 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Newtrendsinparameteridentificationfor/Dsug58Qw6Zs/" 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/Newtrendsinparameteridentificationfor/Dsug58Qw6Zs/">New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors</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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Newtrendsinparameteridentificationfor/Dsug58Qw6Zs/" 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/Newtrendsinparameteridentificationfor/Dsug58Qw6Zs/">New trends in parameter identification for mathematical models, Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors</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>