In this work the author will demonstrate that starting from the gauge formulation of electrodynamics using the electromagnetic potentials leads to computational tools that can very well compete with the conventional electromagnetic field-based tools.

Preface, Acknowledgments, List of Figures, List of Tables, List of Symbols, List of Abbreviations, PART I: Introduction to Electromagnetism, 1. Introduction, 2. The Microscopic Maxwell Equations, 3. Potentials and Fields and the Lagrangian, 4. The Macroscopic Maxwell Equations, 5. Wave Guides and Transmission Lines, 6. Energy Calculations and the Poynting Vector, 7. From Macroscopic Field Theory to Electric Circuits, 8. Gauge Conditions, 9. The Geometry of Electrodynamics, 10. Integral Theorems, PART II: Discretization Methods for Sources and Fields, 11. The Finite Difference Method, 12. The Finite Element Method, 13. The Finite Volume Method and Finite Surface Method, 14. Finite Volume Method and the Transient Regime, PART III: Applications, 15. Simple Test Cases, 16. Evaluation of Coupled Inductors, 17. Coupled Electromagnetic-TCAD Simulation for High Frequencies, 18. EM-TCAD Solving from 0-100 THz, 19. Large Signal Simulation of Integrated Inductors on Semi-Conducting Substrates, 20. Inclusion of Lorentz Force Effects in TCAD Simulations, 21. Self-Induced Magnetic Field Effects, the Lorentz Force and Fast-Transient Phenomena, 22. EMAnalysis of ESD Protection for Advanced CMOS Technology, 23. Coupled Electromagnetic-TCAD Simulation for Fast-Transient Systems, 24. A Fast Time-Domain EM-TCAD Coupled Simulation Framework via Matrix Exponential with Stiffness Reduction, PART IV: Advanced Topics, 25. Surface-Impedance Approximation to Solve RF Design Problems, 26. Using the Ghost Method for Floating Domains in Electromagnetic Field Solvers, 27. Integrating Factors for Discretizing the Maxwell-Ampere Equation, 28. Stability Analysis of the Transient Field Solver, 29. Summary of the Numerical Techniques, References, Index, About the Author