Professor Volkov's research is on Partial Differential Equations theory, Integral Equations theory, and asymptotic and numerical methods. He is interested in abstract existence and uniqueness questions as well as inverse problems and their numerical solutions. He has collaborated with geophysicists and engineers to work on problems related to electromagnetic theory, or seismology. He has published over 30 research papers in prestigious scientific journals. He has taught all levels of math classes, such as Linear Algebra II, Introduction to Analysis, and Graduate Analysis. He particularly enjoys how WPI students are forthcoming in talking to him outside class time, as he believes that the most valuable learning experience occurs during one-on-one discussions.
Professor Volkov's research is on Partial Differential Equations theory, Integral Equations theory, and asymptotic and numerical methods. He is interested in abstract existence and uniqueness questions as well as inverse problems and their numerical solutions. He has collaborated with geophysicists and engineers to work on problems related to electromagnetic theory, or seismology. He has published over 30 research papers in prestigious scientific journals. He has taught all levels of math classes, such as Linear Algebra II, Introduction to Analysis, and Graduate Analysis. He particularly enjoys how WPI students are forthcoming in talking to him outside class time, as he believes that the most valuable learning experience occurs during one-on-one discussions.
Scholarly Work
Existence of frequency modes coupling seismic waves and vibrating tall buildings 2006
Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter 2007
Existence of guided modes on periodic slabs 2008
Chauviere, C., 607 Chen, R.-C., 579 Chen, X., 557 2008
An eigenvalue problem for elastic cracks in free space 2008
Preferred frequencies for coupling of seismic waves and vibrating tall buildings 2009
NSF DMS