Igor Tsukerman is Professor Emeritus of Electrical and Computer Engineering at the University of Akron, Ohio, USA, where he has been a faculty member since 1995. His research is focused on the simulation of nanoscale systems, applied electromagnetics and photonics, plasmonics, computational methods, homogenization of materials, and problems in topological photonics. He has taught a variety of undergraduate and graduate courses (Basic Electrical Engineering, Signals & Systems, Circuits, Electromagnetic Fields, Digital Signal Processing, Random Signal Analysis, Simulation of Nanoscale Systems, and others). Tsukerman has over 200 refereed publications, has authored the monograph Computational Methods for Nanoscale Applications: Particles, Plasmons and Waves (Springer 2008; 2nd edition 2020), co-edited the book Plasmonics and Plasmonic Metamaterials: Analysis and Applications (World Scientific, 2011), and acted as Editor-in-Chief of the five-volume reference set Electromagnetic Analysis: From Electrostatics to Photonics (World Scientific, 2020).Before coming to the University of Akron, Tsukerman worked at the Department of Electrical & Computer Engineering, the University of Toronto (1990–1995). A joint project with GE Canada involved electromagnetic field analysis and noise reduction in large electric motors.Tsukerman’s academic degrees are from St. Petersburg Polytechnic in Russia: a combined B.Sc./M.Sc. degree (with honors) in Control Systems (1982) and a Ph.D. in Electrical Engineering (1988).

• 1 Introduction.- 2 Finite-Difference Schemes.- 3 The Finite Element Method.- 4 Flexible Local Approximation MEthods (FLAME).- 5 Long-Range Interactions in Free Space.- 6 Long-Range Interactions in Heterogeneous Systems.- 7 Finite Difference Time Domain Methods for Electrodynamics.- 8 Applications in Photonics.- 9 Metamaterials and Their Parameters.- 10 Topological Photonics: Layman’s Notes.- 11 Miscellany.- 12 Conclusion: “Plenty of Room at the Bottom” for Computational Methods.