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Mathematics

D-Index
34
Citations
4854
World Ranking
2910
National Ranking
1182

Research.com Recognitions

  • 2014 - SIAM Fellow For contributions to inverse problems, scientific computing, and numerical analysis and their application to hydrocarbon exploration.

Overview

Vladimir Druskin is affiliated with Worcester Polytechnic Institute in the United States. Their research primarily spans the fields of engineering and mathematics, focusing extensively on mathematical physics and related subfields. Their work involves various topics such as numerical methods in inverse problems, microwave imaging and scattering analysis, and numerical methods in engineering.

The main topics covered in Vladimir Druskin's work include:

  • Numerical methods in inverse problems
  • Microwave Imaging and Scattering Analysis
  • Numerical methods in engineering
  • Electrical and Bioimpedance Tomography
  • Electromagnetic Scattering and Analysis
  • Geophysical and Geoelectrical Methods
  • Seismic Imaging and Inversion Techniques

Their frequent co-authors include Mikhail Zaslavsky, Elena Cherkaev, Vladimir Druskin (self-citations or collaborations), Nicholas Defilippis, and John C. Schotland.

Vladimir Druskin has published several recent papers, reflecting ongoing research productivity. Notable recent publications are:

  • Reduced Order Modeling Inversion of Monostatic Data in a Multi-scattering Environment, 2024, SIAM Journal on Imaging Sciences
  • Modified forward and inverse Born series for the Calderon and diffuse-wave problems, 2020, Inverse Problems
  • Regularized reduced order Lippmann-Schwinger-Lanczos method for inverse scattering problems in the frequency domain, 2025, Journal of Computational Physics
  • Limiting boundary correctors for periodic microstructures and inverse homogenization series, 2020, Inverse Problems
  • A perturbation problem for transmission eigenvalues, 2022, Research in the Mathematical Sciences

Their work has appeared most frequently in publication venues such as Inverse Problems, arXiv (Cornell University), SIAM Journal on Imaging Sciences, Journal of Computational Physics, and Research in the Mathematical Sciences.

Vladimir Druskin's research contributions have earned recognition including the title of SIAM Fellow awarded in 2014, with a citation for contributions to inverse problems, scientific computing, and numerical analysis, particularly in application to hydrocarbon exploration.

Best Publications

  • 2.5D forward and inverse modeling for interpreting low-frequency electromagnetic measurements

    A. Abubakar;T. M. Habashy;V. L. Druskin;L. Knizhnerman

  • Spectral approach to solving three-dimensional Maxwell's diffusion equations in the time and frequency domains

    Vladimir Druskin;Leonid Knizhnerman

  • An efficient finite‐difference scheme for electromagnetic logging in 3D anisotropic inhomogeneous media

    Sofia Davydycheva;Vladimir Druskin;Tarek Habashy

  • Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions

    Vladimir Druskin;Leonid Knizhnerman

  • Adaptive rational Krylov subspaces for large-scale dynamical systems

    Vladimir Druskin;Valeria Simoncini

  • Two polynomial methods of calculating functions of symmetric matrices

    V. L. Druskin;L. A. Knizhnerman

  • New spectral Lanczos decomposition method for induction modeling in arbitrary 3-D geometry

    Vladimir L. Druskin;L. A. Knizhnerman;Ping Lee

  • Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic

    Vladimir Druskin;Leonid Knizhnerman

  • Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation

    V. Druskin;L. Knizhnerman;V. Simoncini

  • Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts

    Vladimir Druskin;Leonid Knizhnerman;Mikhail Zaslavsky

  • On Optimal Finite-Difference Approximation of PML

    Sergey Asvadurov;Vladimir Druskin;Murthy N. Guddati;Leonid Knizhnerman

  • Optimal finite difference grids and rational approximations of the square root I. Elliptic problems

    David Ingerman;Vladimir Druskin;Leonid Knizhnerman

  • Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions

    V. Druskin;A. Greenbaum;L. Knizhnerman

  • On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems

    Vladimir Druskin;Chad E. Lieberman;Mikhail Zaslavsky

  • A Finite Difference Scheme for Elliptic Equations with Rough Coefficients Using a Cartesian Grid Nonconforming to Interfaces

    Shari Moskow;Vladimir Druskin;Tarek Habashy;Ping Lee

  • INTERPRETATION OF 3-D EFFECTS IN LONG-OFFSET TRANSIENT ELECTROMAGNETIC (LOTEM) SOUNDINGS IN THE MUNSTERLAND AREA/GERMANY

    Andreas Hördt;Vladimir L. Druskin;Leonid A. Knizhnerman;Kurt‐Martin Strack

  • Determining Formation Resistivity Anisotropy in the Presence of Invasion

    Tom Barber;Barbara Anderson;Aria Abubakar;Tracy Broussard

  • Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain

    Vladimir Druskin;Leonid Knizhnerman

  • Near-optimal perfectly matched layers for indefinite Helmholtz problems

    Vladimir Druskin;Stefan Güttel;Leonid Knizhnerman

  • A 3D parametric inversion algorithm for triaxial induction data

    Aria Abubakar;Tarek M. Habashy;Vladimir Druskin;Leonid Knizhnerman

  • and Rational Approximations of the Square Root I. Elliptic Problems

    David Ingerman;Vladimir Druskin;Leonid Knizhnerman

Frequent Co-Authors

Aria Abubakar
Aria Abubakar Schlumberger (United States)
Valeria Simoncini
Valeria Simoncini University of Bologna
Carlos Torres-Verdín
Carlos Torres-Verdín The University of Texas at Austin
Maokun Li
Maokun Li Tsinghua University
Qing Huo Liu
Qing Huo Liu Eastern Institute of Technology, Ningbo
Alberto Malinverno
Alberto Malinverno Lamont-Doherty Earth Observatory
David Linton Johnson
David Linton Johnson Schlumberger (United States)
Thomas Hagstrom
Thomas Hagstrom Southern Methodist University

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