Leonid Knizhnerman

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 4

Top Topics

Differential Equations

Subspace Clustering

Low Dimensional

Brownian Motion

Top Venues

SIAM J. Sci. Comput.

Publications

Mike A. Botchev, Leonid Knizhnerman, Marcel Schweitzer
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations. SIAM J. Sci. Comput. 46 (2) (2024)
Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman
Model order reduction of layered waveguides via rational Krylov fitting. CoRR (2022)
Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov
Residual and Restarting in Krylov Subspace Evaluation of the φ Function. SIAM J. Sci. Comput. 43 (6) (2021)
Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman
Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems. SIAM Rev. 58 (1) (2016)
Vladimir Druskin, Leonid Knizhnerman, Valeria Simoncini
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. SIAM J. Numer. Anal. 49 (5) (2011)
Leonid Knizhnerman, Valeria Simoncini
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Numerische Mathematik 118 (3) (2011)
Leonid Knizhnerman, Valeria Simoncini
A new investigation of the extended Krylov subspace method for matrix function evaluations. Numer. Linear Algebra Appl. 17 (4) (2010)
Leonid Knizhnerman
Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be? J. Comput. Appl. Math. 233 (5) (2010)
Leonid Knizhnerman, Vladimir Druskin, Mikhail Zaslavsky
On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains. SIAM J. Numer. Anal. 47 (2) (2009)
Vladimir Druskin, Leonid Knizhnerman, Mikhail Zaslavsky
Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts. SIAM J. Sci. Comput. 31 (5) (2009)
Aria Abubakar, Tarek M. Habashy, Vladimir Druskin, Leonid Knizhnerman
An enhanced Gauss-Newton inversion algorithm using a dual-optimal grid approach. IEEE Trans. Geosci. Remote. Sens. 44 (6) (2006)
Leonid Knizhnerman
Stability Estimates on the Jacobi and Unitary Hessenberg Inverse Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 26 (1) (2004)
Sergey Asvadurov, Vladimir Druskin, Murthy N. Guddati, Leonid Knizhnerman
On Optimal Finite-Difference Approximation of PML. SIAM J. Numer. Anal. 41 (1) (2003)
Leonid Knizhnerman
On GMRES-Equivalent Bounded Operators. SIAM J. Matrix Anal. Appl. 22 (1) (2000)
Vladimir Druskin, Leonid Knizhnerman
Gaussian spectral rules for second order finite-difference schemes. Numer. Algorithms 25 (1-4) (2000)
Vladimir Druskin, Leonid Knizhnerman
Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain. SIAM J. Numer. Anal. 37 (2) (1999)
Vladimir Druskin, Leonid Knizhnerman
Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions. SIAM J. Matrix Anal. Appl. 19 (3) (1998)
Vladimir Druskin, Anne Greenbaum, Leonid Knizhnerman
Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions. SIAM J. Sci. Comput. 19 (1) (1998)
Vladimir Druskin, Leonid Knizhnerman
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Numer. Linear Algebra Appl. 2 (3) (1995)