Engineering Mathematics I

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 appliedmathematics, as well as in the areas of applications of mathematics considered in the book.

Inhalt

1 Frequency Domain and Time Domain Response of the Horizontal Grounding Electrode Using the Antenna Theory Approach: D. Poljak.- 2 On the Use of Analytical Methods in Electromagnetic Compatibility and Magnetohydrodynamics: S. Sesnic and D. Poljak.- 3 Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral: M. Rancic et al.- 4 Comparison of TL, Point-Matching and Hybrid Circuit Method Analysis of a Horizontal Dipole Antenna Immersed in Lossy Soil: R. Jankoski et al.- 5 Theoretical Study of Equilateral Triangular Microstrip Antenna and its Arrays: P.G. Metri.- 6 Green Function of the Point Source Inside/Outside Spherical Domain - Approximate Solution: N. Cvetkovic et al.- 7 The ElectromagneticThermal Dosimetry Model of the Human Brain: M. Cvetkovic and D. Poljak.- 8 Quasi-TEM Analysis of Multilayered Shielded Microstrip Lines using Hybrid Boundary Element Method: M. Peric et al.- 9 Current Functions and Attenuation Factors in Modified Transmission Line Models of Lightning Strokes: V. Javor.- 10 Mathematical Modelling of Cutting Process System: J. Olt et al.- 11 Mixed Convection Heat Transfer in MHD non-Darcian Flow due to an Exponential Stretching Sheet Embedded in a Porous Medium in Presence of non-Uniform Heat Source/Sink: P.G Metri et al.- 12 MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Nanofluid with Convective Boundary Condition: P.G Metri et al.- 13 Effect of Time-Periodic Boundary Temperature Modulations on the Onset of Convection in a Maxwell Fluid-Nanofluid Saturated Porous Layer: P.G Metri et al.- 14 Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel: P.G. Metri.- 15 Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields: A. Malyarenko and M. Ostoja-Starzewski.- 16 Sensitivity Analysis of Catastrophe Bond Price under the HullWhite Interest Rate Model: A. Malyarenko.- 17 Pricing European Options Under Stochastic Volatilities Models: B. Canhanga.