Exact and Approximate Solutions for Mathematical Models in Science and Engineering

• Autore: Constanda Christian
• Pubblicazione: Cham : , : Springer Basel AG, , 2024; ©2024
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (189 pages)
• Altri autori: HarrisPaul J BodmannBardo E. J
• Nota di contenuto: Intro -- Preface -- Contents -- Contributors -- 1 On Spectroscopy of Sampled Signals Using the Hilbert Transform -- 1.1 Introduction -- 1.2 The Hilbert Transform Revisited -- 1.3 Hilbert Transform with Sampled Signals -- 1.4 A Benchmark Problem -- 1.5 An Alternative Approach -- 1.6 Application to the Benchmark Problem -- 1.7 Some Comments on the Hilbert-Huang Procedure -- 1.8 Conclusion -- References -- 2 Approximation of Solution for Bending of an Elastic Plate: Interior vs Exterior Cases -- 2.1 Introduction -- 2.2 Basic Equations -- 2.3 Interior Dirichlet Problem -- 2.3.1 Numerical Example -- 2.3.2 Graphical Illustrations -- 2.4 Exterior Dirichlet Problem -- 2.4.1 Numerical Example -- 2.4.2 Graphical Illustrations -- 2.5 Conclusions -- References -- 3 A PDE Method for Modelling the Soil Temperature of Cropfields with Data from Wireless Sensor Networks -- 3.1 Introduction -- 3.2 Materials and Methods -- 3.2.1 Method -- 3.2.2 Forecasting with Holt-Winters -- 3.3 Results -- 3.3.1 Results of Experiment (E1) -- 3.3.2 Results of Experiment (E2) -- 3.3.3 Results of Experiment (E3) -- 3.3.4 Results of Experiment (E4) -- 3.4 Discussion -- 3.5 Conclusion -- References -- 4 Extreme Cases in Boundary Homogenization for the Linear Elasticity System -- 4.1 Introduction -- 4.2 Setting of the Problem -- 4.3 The Homogenized Problems -- 4.4 The Convergence when β*=0 -- 4.5 The Convergence when r0=0 and β*= 0 -- 4.6 The Convergence when r0=+∞ and β*=+∞ -- 4.7 The Spectral Convergence -- References -- 5 A Model of the Spread of a Disease Through a Population with Different Age Groups -- 5.1 Introduction -- 5.2 Mathematical Model -- 5.2.1 Governing Differential Equations -- 5.2.2 Model Parameters -- 5.2.3 Time Integration Scheme -- 5.3 Numerical Results -- 5.4 Conclusions and Future Work -- References. ; 6 A Survey on the Boundary Behavior of the Double Layer Potential in Schauder Spaces in the Frame of an AbstractApproach -- 6.1 Introduction -- 6.2 Preliminaries and Notation -- 6.3 The Double Layer Potential on the Boundary of Lipschitz and C1 domains -- 6.4 The Double Layer Potential on the Boundary of Domains of Class C1,α with α]0,1[ -- 6.5 The Double Layer Potential on the Boundary of Domains of Class C1,1 and C2 -- 6.6 The Double Layer Potential on the Boundary of Domains of Class Cm,α with m≥2, α]0,1[ -- 6.7 An Integral Operator Associated to the Conormal Derivative of a Single Layer Potential -- 6.8 An Example of a Measure in which Both the Lower Ahlfors Regularity Condition and the Doubling Condition Are Violated -- Appendix: Conditions of Upper Ahlfors Regularity on Subsets of Rn that Are Local Lipschitz Graphs -- References -- 7 The Dirichlet Problem on Rough Domains and Herz Spaces -- 7.1 Introduction -- 7.2 Real Interpolation of Herz Spaces -- 7.3 Calderón-Zygmund Theory on Herz Spaces -- 7.4 Well-Posedness of the Dirichlet Problem: An Outline -- References -- 8 Analytical Solution of Slug Low Salinity Waterflooding -- 8.1 Introduction -- 8.2 Balance Equations and Flow Model -- 8.3 Analytical Solution -- 8.4 Concluding Remarks -- References -- 9 PN Synthetic Acceleration for the Source Iteration Scheme in Slab-Geometry Discrete Ordinates Transport Calculations -- 9.1 Introduction -- 9.2 Methodology -- 9.3 Results and Discussion -- 9.4 Conclusions -- References -- 10 Dynamic Iteration Error Analysis -- 10.1 Introduction -- 10.2 Error Analysis -- 10.3 Numerical Examples -- 10.4 Concluding Remarks and Future Work -- References -- Index.
• Titolo autorizzato: Exact and Approximate Solutions for Mathematical Models in Science and Engineering
• ISBN: 9783031595912; 9783031595905
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910874691103321
• Lo trovi qui: Univ. Federico II
• Serie: Trends in Mathematics Series