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Vladimir Rokhlin's research interests include randomized algorithms of numerical analysis, partial differential equations, scattering theory, numerical solution of integral equations, quadrature formulae for singular functions, approximation theory, harmonic analysis.
Rokhlin is a member of the Society for Industrial and Applied Mathematics,
of the National Academy of Sciences, and of the National Academy of Engineering.
He is a recipient of the 2001 Leroy P. Steele Prize for a Seminal Contribution to Research, and a recipient of the
2001 Rice University Distinguished Alumnus Award.
"A Fast Algorithm for Particle Simulations," with L. Greengard, Journal of Computational Physics, 73(1) : 325 (1987).
"Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions," Applied and Computational Harmonic Analysis 1:82-93, 1993.
for the Low-Rank Approximation of Matrices,"