Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. - Vladimir Druskin; Leonid Knizhnerman (Numer. Linear Algebra Appl., 1995)

On the Uniqueness of Inverse Problems from Incomplete Boundary Data. - Vladimir Druskin (SIAM J. Appl. Math., 1998)

Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions. - Vladimir Druskin; Anne Greenbaum; Leonid Knizhnerman (SIAM J. Sci. Comput., 1998)

Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions. - Vladimir Druskin; Leonid Knizhnerman (SIAM J. Matrix Anal. Appl., 1998)

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 (SIAM J. Numer. Anal., 1999)

Gaussian spectral rules for second order finite-difference schemes. - Vladimir Druskin; Leonid Knizhnerman (Numer. Algorithms, 2000)

Three-point finite-difference schemes, Padé and the spectral Galerkin method. I. One-sided impedance approximation. - Vladimir Druskin; Shari Moskow (Math. Comput., 2002)

On Optimal Finite-Difference Approximation of PML. - Sergey Asvadurov; Vladimir Druskin; Murthy N. Guddati; Leonid Knizhnerman (SIAM J. Numer. Anal., 2003)

An enhanced Gauss-Newton inversion algorithm using a dual-optimal grid approach. - Aria Abubakar; Tarek M. Habashy; Vladimir Druskin; Leonid Knizhnerman (IEEE Trans. Geosci. Remote. Sens., 2006)

On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains. - Leonid Knizhnerman; Vladimir Druskin; Mikhail Zaslavsky (SIAM J. Numer. Anal., 2009)

Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations. - Valeria Simoncini; Vladimir Druskin (SIAM J. Numer. Anal., 2009)

Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts. - Vladimir Druskin; Leonid Knizhnerman; Mikhail Zaslavsky (SIAM J. Sci. Comput., 2009)

Solution of time-convolutionary Maxwell's equations using parameter-dependent Krylov subspace reduction. - Mikhail Zaslavsky; Vladimir Druskin (J. Comput. Phys., 2010)

On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems. - Vladimir Druskin; Chad Lieberman; Mikhail Zaslavsky (SIAM J. Sci. Comput., 2010)

Adaptive rational Krylov subspaces for large-scale dynamical systems. - Vladimir Druskin; Valeria Simoncini (Syst. Control. Lett., 2011)

Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. - Vladimir Druskin; Leonid Knizhnerman; Valeria Simoncini (SIAM J. Numer. Anal., 2011)

A Krylov Stability-Corrected Coordinate-Stretching Method to Simulate Wave Propagation in Unbounded Domains. - Vladimir Druskin; Rob Remis (SIAM J. Sci. Comput., 2013)

Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data. - Vladimir Druskin; Valeria Simoncini; Mikhail Zaslavsky (SIAM J. Sci. Comput., 2013)

An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains. - Vladimir Druskin; Rob Remis; Mikhail Zaslavsky (J. Comput. Phys., 2014)

Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems. - Vladimir Druskin; Valeria Simoncini; Mikhail Zaslavsky (SIAM J. Matrix Anal. Appl., 2014)

Exponential convergence through linear finite element discretization of stratified subdomains. - Murthy N. Guddati; Vladimir Druskin; Ali Vaziri Astaneh (J. Comput. Phys., 2016)

Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction. - Vladimir Druskin; Alexander V. Mamonov; Andrew E. Thaler; Mikhail Zaslavsky (SIAM J. Imaging Sci., 2016)

Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems. - Vladimir Druskin; Stefan Güttel; Leonid Knizhnerman (SIAM Rev., 2016)

Multiscale S-Fraction Reduced-Order Models for Massive Wavefield Simulations. - Vladimir Druskin; Alexander V. Mamonov; Mikhail Zaslavsky (Multiscale Model. Simul., 2017)

Clustering of graph vertex subset via Krylov subspace model reduction. - Vladimir Druskin; Alexander V. Mamonov; Mikhail Zaslavsky (CoRR, 2018)

Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces. - Vladimir Druskin; Robert F. Remis; Mikhail Zaslavsky; Jörn T. Zimmerling (Multiscale Model. Simul., 2018)

A Nonlinear Method for Imaging with Acoustic Waves Via Reduced Order Model Backprojection. - Vladimir Druskin; Alexander V. Mamonov; Mikhail Zaslavsky (SIAM J. Imaging Sci., 2018)

Fast finite-difference convolution for 3D problems in layered media. - Vladimir Druskin; Mikhail Zaslavsky (CoRR, 2019)

Reduced order models for spectral domain inversion: Embedding into the continuous problem and generation of internal data. - Liliana Borcea; Vladimir Druskin; Alexander V. Mamonov; Shari Moskow; Mikhail Zaslavsky (CoRR, 2019)

Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models. - Liliana Borcea; Vladimir Druskin; Alexander V. Mamonov; Mikhail Zaslavsky (J. Comput. Phys., 2019)

Reduced Order Model Approach to Inverse Scattering. - Liliana Borcea; Vladimir Druskin; Alexander V. Mamonov; Mikhail Zaslavsky; Jörn T. Zimmerling (SIAM J. Imaging Sci., 2020)

Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems. - Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (CoRR, 2021)

On extension of the data driven ROM inverse scattering framework to partially nonreciprocal arrays. - Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (CoRR, 2021)

A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media. - Liliana Borcea; Vladimir Druskin; Jörn T. Zimmerling (J. Sci. Comput., 2021)

Model order reduction of layered waveguides via rational Krylov fitting. - Vladimir Druskin; Stefan Güttel; Leonid Knizhnerman (CoRR, 2022)

Reduced order modeling inversion of mono static data in a multi-scattering environment. - Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (CoRR, 2022)

Distance Preserving Model Order Reduction of Graph-Laplacians and Cluster Analysis. - Vladimir Druskin; Alexander V. Mamonov; Mikhail Zaslavsky (J. Sci. Comput., 2022)

Solving inverse scattering problems via reduced-order model embedding procedures. - Jörn T. Zimmerling; Vladimir Druskin; Murthy N. Guddati; Elena Cherkaev; Rob Remis (CoRR, 2023)

Regularized Reduced Order Lippman-Schwinger-Lanczos Method for Inverse Scattering Problems in the Frequency Domain. - Justin M. Baker; Elena Cherkaev; Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (CoRR, 2023)

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing BT φ (A) B. - Jörn T. Zimmerling; Vladimir Druskin; Valeria Simoncini (CoRR, 2024)

ROM Inversion of Monostatic Data Lifted to Full MIMO. - Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (SIAM J. Imaging Sci., 2024)

Reduced Order Modeling Inversion of Monostatic Data in a Multi-scattering Environment. - Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (SIAM J. Imaging Sci., 2024)

Regularized reduced order Lippmann-Schwinger-Lanczos method for inverse scattering problems in the frequency domain. - Justin M. Baker; Elena Cherkaev; Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (J. Comput. Phys., 2025)

A Krylov projection algorithm for large symmetric matrices with dense spectra. - Vladimir Druskin; Jörn T. Zimmerling (CoRR, 2025)

On optimality and bounds for internal solutions generated from boundary data-driven Gramians. - Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (CoRR, 2025)

Monotonicity, Bounds and Acceleration of Block Gauss and Gauss-Radau Quadrature for Computing BT φ (A) B. - Jörn T. Zimmerling; Vladimir Druskin; Valeria Simoncini (J. Sci. Comput., 2025)