Numerical Methods for Inverse Problems.

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Bibliographic Details
Main Author: Moreira, Olga.
Format: eBook
Language:English
Published: Ashland : Arcler Press, 2020.
Subjects:
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505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
500 |a Numerical Experiments. 
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650 0 |a Inverse problems (Differential equations)  |x Numerical solutions. 
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