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Engineering mathematics I : electromagnetics, fluid Mechanics, material physics and financial engineering

Author: Sergei Silvestrov; Milica Rancic
Publisher: Cham, Switzerland : Springer, 2016.
Series: Springer proceedings in mathematics & statistics, v. 178.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis and computational  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)951761572
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sergei Silvestrov; Milica Rancic
ISBN: 9783319420820 3319420828
OCLC Number: 964652823
Description: 1 online resource.
Contents: Preface; Contents; Contributors; 1 Frequency Domain and Time Domain Response of the Horizontal Grounding Electrode Using the Antenna Theory Approach; 1.1 Introduction; 1.2 Frequency Domain Analysis; 1.2.1 Numerical Solution; 1.2.2 Computational Examples; 1.3 Time Domain Analysis; 1.3.1 BEM Procedure for Pocklington Equation; 1.3.2 Numerical Results for Grounding Electrode; 1.4 Concluding Remarks; References; 2 On the Use of Analytical Methods in Electromagnetic Compatibility and Magnetohydrodynamics; 2.1 Introduction; 2.2 Thin Wire Models in Antenna Theory. 2.2.1 Frequency Domain Formulation2.2.2 Time Domain Formulation; 2.3 Frequency Domain Applications of Analytical Methods; 2.3.1 Horizontal Wire Below Ground; 2.3.2 Horizontal Grounding Electrode; 2.4 Time Domain Applications of Analytical Methods; 2.4.1 Horizontal Wire Below Ground; 2.4.2 Horizontal Grounding Electrode; 2.5 Some Analytical Solutions to the Grad --
Shafranov Equation; 2.5.1 Solution of the Homogeneous Equation; 2.5.2 The Solov'ev Equilibrium; 2.5.3 The Herrnegger --
Maschke Solutions; 2.5.4 Mc Carthy's Solution; 2.5.5 Computational Example; 2.6 Concluding Remarks; References. 3 Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral3.1 Introduction; 3.2 Problem Formulation; 3.3 Sommerfeld Integral Approximations; 3.3.1 Transmission Coefficient (TC) Approach; 3.3.2 Two-Image Approximation --
TIA; 3.4 Solution of the Integral Equation; 3.5 Numerical Results; 3.6 Conclusion; References; 4 Comparison of TL, Point-Matching and Hybrid Circuit Method Analysis of a Horizontal Dipole Antenna Immersed in Lossy Soil; 4.1 Introduction; 4.2 Geometry Layout; 4.3 Transmission Line Model (TLM); 4.4 Point-Matching Method (PMM). 4.5 Hybrid Circuit Method (HCM)4.6 Numerical Results; 4.7 Conclusion; References; 5 Theoretical Study of Equilateral Triangular Microstrip Antenna and Its Arrays; 5.1 Introduction; 5.2 Types of Microstrip Antennas; 5.2.1 Theoretical Impedance Bandwidth; 5.3 Conclusion; References; 6 Green Function of the Point Source Inside/Outside Spherical Domain --
Approximate Solution; 6.1 Introduction; 6.2 Theoretical Background; 6.2.1 Description of the Problem; 6.2.2 Exact ESP Solution According to [19]; 6.2.3 ESP Solution According to [20, pp. 97 --
98] and [21]; 6.2.4 ESP Solution Proposed in This Paper. 6.2.5 Analysis of the Presented ESP Solutions6.2.6 Error Estimation Using the Approximate Expressions for the ESP; 6.3 Numerical Results; 6.4 Technical Application; 6.5 Conclusion; References; 7 The Electromagnetic --
Thermal Dosimetry Model of the Human Brain; 7.1 Introduction; 7.2 Electromagnetic Dosimetry Model; 7.2.1 Numerical Solution; 7.3 Thermal Dosimetry Model; 7.3.1 Finite Element Solution; 7.4 Computational Example; 7.5 Conclusion; References; 8 Quasi-TEM Analysis of Multilayered Shielded Microstrip Lines Using Hybrid Boundary Element Method; 8.1 Introduction.
Series Title: Springer proceedings in mathematics & statistics, v. 178.
Responsibility: Sergei Silvestrov, Milica Rančić, editors.

Abstract:

This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis and computational modelling used in applications to important problems concerning electromagnetics, antenna technologies, fluid dynamics, material and continuum physics and financial engineering. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cutting-edge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed. The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at Mälardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st Swedish-Estonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications. It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book.

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