Exact and Approximate Solutions for Mathematical Models in Science and Engineering (Trends in Mathematics)

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