Engineering Mathematics I

1. Front Matter

   Pages i-xv

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2. Frequency Domain and Time Domain Response of the Horizontal Grounding Electrode Using the Antenna Theory Approach

   • Dragan Poljak

   Pages 1-12

3. On the Use of Analytical Methods in Electromagnetic Compatibility and Magnetohydrodynamics

   • Silvestar Šesnić, Dragan Poljak

   Pages 13-31

4. Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral

   • Milica Rančić, Radoslav Jankoski, Sergei Silvestrov, Slavoljub Aleksić

   Pages 33-49

5. Comparison of TL, Point-Matching and Hybrid Circuit Method Analysis of a Horizontal Dipole Antenna Immersed in Lossy Soil

   • Radoslav Jankoski, Milica Rančić, Vesna Arnautovski-Toseva, Sergei Silvestrov

   Pages 51-63

6. Theoretical Study of Equilateral Triangular Microstrip Antenna and Its Arrays

   • Pushpanjali G. Metri

   Pages 65-78

7. Green Function of the Point Source Inside/Outside Spherical Domain - Approximate Solution

   • Nenad Cvetković, Miodrag Stojanović, Dejan Jovanović, Aleksa Ristić, Dragan Vučković, Dejan Krstić

   Pages 79-98

8. The Electromagnetic–Thermal Dosimetry Model of the Human Brain

   • Mario Cvetković, Dragan Poljak

   Pages 99-113

9. Quasi-TEM Analysis of Multilayered Shielded Microstrip Lines Using Hybrid Boundary Element Method

   • Mirjana Perić, Saša Ilić, Slavoljub Aleksić

   Pages 115-129

10. Modified Transmission Line Models of Lightning Strokes Using New Current Functions and Attenuation Factors

    • Vesna Javor

    Pages 131-149

11. On Some Properties of the Multi-peaked Analytically Extended Function for Approximation of Lightning Discharge Currents

    • Karl Lundengård, Milica Rančić, Vesna Javor, Sergei Silvestrov

    Pages 151-172

12. Mathematical Modelling of Cutting Process System

    • Jüri Olt, Olga Liivapuu, Viacheslav Maksarov, Alexander Liyvapuu, Tanel Tärgla

    Pages 173-186

13. 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

    • Prashant G. Metri, Veena M. Bablad, Pushpanjali G. Metri, M. Subhas Abel, Sergei Silvestrov

    Pages 187-201

14. Heat and Mass Transfer in MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Nanofluid with Convective Boundary Condition and Viscous Dissipation

    • Prashant G. Metri, M. Subhas Abel, Sergei Silvestrov

    Pages 203-219

15. Effect of Time-Periodic Boundary Temperature Modulations on the Onset of Convection in a Maxwell Fluid–Nanofluid Saturated Porous Layer

    • Jawali C. Umavathi, Kuppalapalle Vajravelu, Prashant G. Metri, Sergei Silvestrov

    Pages 221-245

16. Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel

    • J. Pratap Kumar, Jawali C. Umavathi, Prashant G. Metri, Sergei Silvestrov

    Pages 247-279

17. Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields

    • Anatoliy Malyarenko, Martin Ostoja-Starzewski

    Pages 281-300

18. Sensitivity Analysis of Catastrophe Bond Price Under the Hull–White Interest Rate Model

    • Anatoliy Malyarenko, Jan Röman, Oskar Schyberg

    Pages 301-314

19. Pricing European Options Under Stochastic Volatilities Models

    • Betuel Canhanga, Anatoliy Malyarenko, Jean-Paul Murara, Sergei Silvestrov

    Pages 315-338

20. Back Matter

    Pages 339-341

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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. 

• engineering mathematics
• computational electromagnetics
• fluid mechanics
• financial engineering
• mathematical modelling

• Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

  Sergei Silvestrov, Milica Rančić

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