Numerical Methods for Inverse Problems

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Moreira, Olga
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Ashland : Arcler Press, 2020.
Temas:
Inverse problems (Differential equations) > Numerical solutions.
Problèmes inverses (Équations différentielles) > Solutions numériques.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Title Page
  • Copyright
  • DECLARATION
  • ABOUT THE EDITOR
  • TABLE OF CONTENTS
  • List of Contributors
  • List of Abbreviations
  • Preface
  • Chapter 1 A Numerical Approximation Method for the Inverse Problem of the Three-Dimensional Laplace Equation
  • Abstract
  • Introduction
  • Mathematical Problem And The Ill-Posedness Analysis
  • Mollification Method And Regularization Solution
  • Parameter Selection And Error Estimates
  • Numerical Examples
  • Conclusions
  • Author Contributions
  • Funding
  • Acknowledgments
  • Conflicts Of Interest
  • References
  • Chapter 2 The Numerical Solution of Forward and Inverse Robin Problems for Laplace's Equation
  • Abstract
  • Introduction
  • Fast Solution Of The Forward Problem
  • The Robin Inverse Problem And Preconditioner
  • Numerical Examples
  • Acknowledgements
  • Funding
  • Contributions
  • References
  • Chapter 3 Moving Least Squares Method for a One-dimensional Parabolic Inverse Problem
  • Abstract
  • Introduction
  • An Outline Of The Moving Least Squares (Mls)
  • The Inverse Problem And Its Numerical Solution
  • Numerical Experiments And Discussions
  • Conclusion
  • Conflict Of Interests
  • Acknowledgments
  • References
  • Chapter 4 The Inverse Problem of the Heat Equation with Periodic Boundary And Integral Overdetermination Conditions
  • Abstract
  • Introduction
  • Existence And Uniqueness Of The Solution Of The Inverse Problem
  • Continuous Dependence Of (P,U) Upon The Data
  • Numerical Method
  • Numerical Example And Discussions
  • Conclusions
  • Acknowledgements
  • References
  • Chapter 5 An Inverse Problem for a Two-Dimensional Time- Fractional Sideways Heat Equation
  • Abstract
  • Introduction
  • Description Of The 2D Time-Fractional Inverse Diffusion Problem
  • A Modified Method And Convergence Estimates
  • Numerical Aspect
  • Conclusion
  • Data Availability
  • Conflicts Of Interest
  • Authors' Contributions
  • Acknowledgments
  • References
  • Chapter 6 Numerical Inversion for the Multiple Fractional Orders in the Multiterm TFDE
  • Abstract
  • Introduction
  • The Forward Problem And The Inverse Problem
  • The Inversion Algorithm And Numerical Inversions
  • Conclusions
  • Conflicts Of Interest
  • Acknowledgments
  • References
  • Chapter 7 Solutions of Direct and Inverse Even-Order Sturm- Liouville Problems Using Magnus Expansion
  • Abstract
  • Introduction
  • Materials And Methods
  • Results Of Direct Sturm-Liouville Problems
  • Results Of Inverse Sturm-Liouville Problems
  • Discussion And Conclusions
  • Author Contributions
  • Funding
  • Acknowledgments
  • Conflicts Of Interest
  • Abbreviations
  • Appendix A
  • References
  • Chapter 8 Numerical Solution of Direct and Inverse Problems for Time-Dependent Volterra Integro-Differential Equation Using Finite Integration Method with Shifted Chebyshev Polynomials
  • Abstract
  • Introduction
  • Preliminaries
  • Numerical Algorithms For Direct And Inverse Problems Of Tvide

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