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ORCIDLeonid Knizhnerman
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Journal Articles
- 2024
[j19]Mike A. Botchev
, Leonid Knizhnerman, Marcel Schweitzer:
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations. SIAM J. Sci. Comput. 46(2): S223-S253 (2024)- 2021
- [j18]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): A3733-A3759 (2021) - 2020
- [j17]Mikhail A. Botchev, Leonid A. Knizhnerman:
ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. J. Comput. Appl. Math. 364 (2020) - 2016
- [j16]Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman:
Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems. SIAM Rev. 58(1): 90-116 (2016) - 2011
- [j15]Leonid Knizhnerman, Valeria Simoncini:
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Numerische Mathematik 118(3): 567-586 (2011) - [j14]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): 1875-1898 (2011) - 2010
- [j13]Leonid Knizhnerman:
Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be? J. Comput. Appl. Math. 233(5): 1238-1244 (2010) - [j12]Leonid Knizhnerman, Valeria Simoncini:
A new investigation of the extended Krylov subspace method for matrix function evaluations. Numer. Linear Algebra Appl. 17(4): 615-638 (2010) - 2009
- [j11]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): 953-971 (2009) - [j10]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): 3760-3780 (2009) - 2006
- [j9]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): 1419-1427 (2006) - 2004
- [j8]Leonid Knizhnerman:
Stability Estimates on the Jacobi and Unitary Hessenberg Inverse Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 26(1): 154-169 (2004) - 2003
- [j7]Sergey Asvadurov, Vladimir Druskin, Murthy N. Guddati, Leonid Knizhnerman:
On Optimal Finite-Difference Approximation of PML. SIAM J. Numer. Anal. 41(1): 287-305 (2003) - 2000
- [j6]Vladimir Druskin, Leonid Knizhnerman:
Gaussian spectral rules for second order finite-difference schemes. Numer. Algorithms 25(1-4): 139-159 (2000) - [j5]Leonid Knizhnerman:
On GMRES-Equivalent Bounded Operators. SIAM J. Matrix Anal. Appl. 22(1): 195-212 (2000) - 1999
- [j4]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): 403-422 (1999) - 1998
- [j3]Vladimir Druskin, Leonid Knizhnerman:
Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions. SIAM J. Matrix Anal. Appl. 19(3): 755-771 (1998) - [j2]Vladimir Druskin, Anne Greenbaum, Leonid Knizhnerman:
Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions. SIAM J. Sci. Comput. 19(1): 38-54 (1998) - 1995
- [j1]Vladimir Druskin, Leonid Knizhnerman:
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Numer. Linear Algebra Appl. 2(3): 205-217 (1995)
Informal and Other Publications
- 2022
- [i4]Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman:
Model order reduction of layered waveguides via rational Krylov fitting. CoRR abs/2203.17052 (2022) - [i3]Mike A. Botchev, Leonid A. Knizhnerman, Marcel Schweitzer:
Krylov subspace residual and restarting for certain second order differential equations. CoRR abs/2206.06909 (2022) - 2020
- [i2]Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov:
A residual concept for Krylov subspace evaluation of the 𝓁 matrix function. CoRR abs/2010.08494 (2020) - 2018
- [i1]Mikhail A. Botchev, Leonid A. Knizhnerman:
ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. CoRR abs/1812.10165 (2018)
Coauthor Index
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