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

2009 ◽  
Vol 31 (5) ◽  
pp. 3760-3780 ◽  
Author(s):  
Vladimir Druskin ◽  
Leonid Knizhnerman ◽  
Mikhail Zaslavsky
Keyword(s):  
Large Scale ◽  
Krylov Subspaces ◽  
Rational Krylov Subspaces

Adaptive rational Krylov subspaces for large-scale dynamical systems

2011 ◽  
Vol 60 (8) ◽  
pp. 546-560 ◽  
Author(s):  
V. Druskin ◽  
V. Simoncini
Keyword(s):  
Dynamical Systems ◽  
Large Scale ◽  
Krylov Subspaces ◽  
Rational Krylov Subspaces

scholarly journals Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces

2018 ◽  
Vol 16 (4) ◽  
pp. 1486-1518 ◽  
Author(s):  
Vladimir Druskin ◽  
Rob F. Remis ◽  
Mikhail Zaslavsky ◽  
Jörn T. Zimmerling
Keyword(s):  
Wave Propagation ◽  
Large Scale ◽  
Krylov Subspaces ◽  
Propagation Models ◽  
Rational Krylov Subspaces

scholarly journals Model reduction methods based on Krylov subspaces

Acta Numerica ◽  
2003 ◽  
Vol 12 ◽  
pp. 267-319 ◽  
Author(s):  
Roland W. Freund
Keyword(s):  
Large Scale ◽  
Krylov Subspace ◽  
Circuit Simulation ◽  
Krylov Subspaces ◽  
Lanczos Algorithm ◽  
Linear Dynamical Systems ◽  
Reduced Order ◽  
Reduced Order Modelling ◽  
Reduction Methods ◽  
Modelling Techniques

In recent years, reduced-order modelling techniques based on Krylov-subspace iterations, especially the Lanczos algorithm and the Arnoldi process, have become popular tools for tackling the large-scale time-invariant linear dynamical systems that arise in the simulation of electronic circuits. This paper reviews the main ideas of reduced-order modelling techniques based on Krylov subspaces and describes some applications of reduced-order modelling in circuit simulation.

Recycling Krylov subspaces for efficient large-scale electrical impedance tomography

2010 ◽  
Vol 199 (49-52) ◽  
pp. 3101-3110 ◽  
Author(s):  
Luís Augusto Motta Mello ◽  
Eric de Sturler ◽  
Glaucio H. Paulino ◽  
Emílio Carlos Nelli Silva
Keyword(s):  
Electrical Impedance Tomography ◽  
Large Scale ◽  
Electrical Impedance ◽  
Krylov Subspaces ◽  
Impedance Tomography

Reduction of large-scale dynamical systems by the Krylov subspaces method: Analysis of approaches

2015 ◽  
Vol 54 (2) ◽  
pp. 165-183 ◽  
Author(s):  
N. E. Zubov ◽  
E. A. Mikrin ◽  
M. Sh. Misrikhanov ◽  
A. V. Proletarskii ◽  
V. N. Ryabchenko
Keyword(s):  
Dynamical Systems ◽  
Large Scale ◽  
Krylov Subspaces ◽  
Method Analysis

Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems

2014 ◽  
Vol 35 (2) ◽  
pp. 476-498 ◽  
Author(s):  
V. Druskin ◽  
V. Simoncini ◽  
M. Zaslavsky
Keyword(s):  
Dynamical Systems ◽  
Krylov Subspaces ◽  
Mimo Dynamical Systems ◽  
Rational Krylov Subspaces

Some comments about observations and image processing of comet 29P/Schwassmann-Wachmann 1

1999 ◽  
Vol 173 ◽  
pp. 243-248
Author(s):  
D. Kubáček ◽  
A. Galád ◽  
A. Pravda
Keyword(s):  
Image Processing ◽  
Large Scale ◽  
Harvard College ◽  
Oak Ridge ◽  
Large Scale Structures ◽  
Short Period Comet ◽  
Short Period ◽  
Scale Structures ◽  
Harvard College Observatory ◽  
Period Comet

AbstractUnusual short-period comet 29P/Schwassmann-Wachmann 1 inspired many observers to explain its unpredictable outbursts. In this paper large scale structures and features from the inner part of the coma in time periods around outbursts are studied. CCD images were taken at Whipple Observatory, Mt. Hopkins, in 1989 and at Astronomical Observatory, Modra, from 1995 to 1998. Photographic plates of the comet were taken at Harvard College Observatory, Oak Ridge, from 1974 to 1982. The latter were digitized at first to apply the same techniques of image processing for optimizing the visibility of features in the coma during outbursts. Outbursts and coma structures show various shapes.

Evolution of Large-Scale Coronal Structures

1994 ◽  
Vol 144 ◽  
pp. 29-33
Author(s):  
P. Ambrož
Keyword(s):  
Magnetic Field ◽  
Field Line ◽  
Large Scale ◽  
Coronal Magnetic Field ◽  
Source Surface ◽  
Solar Cycles ◽  
Characteristic Relationship ◽  
The Magnetic Field ◽  
Coronal Structures

AbstractThe large-scale coronal structures observed during the sporadically visible solar eclipses were compared with the numerically extrapolated field-line structures of coronal magnetic field. A characteristic relationship between the observed structures of coronal plasma and the magnetic field line configurations was determined. The long-term evolution of large scale coronal structures inferred from photospheric magnetic observations in the course of 11- and 22-year solar cycles is described.Some known parameters, such as the source surface radius, or coronal rotation rate are discussed and actually interpreted. A relation between the large-scale photospheric magnetic field evolution and the coronal structure rearrangement is demonstrated.

Large-scale Motion of Solar Filaments

2000 ◽  
Vol 179 ◽  
pp. 205-208
Author(s):  
Pavel Ambrož ◽  
Alfred Schroll
Keyword(s):  
Magnetic Flux ◽  
Proper Motion ◽  
Time Scale ◽  
Large Scale ◽  
Accuracy Of Measurements ◽  
Solar Filaments ◽  
General Movement ◽  
Scale Motion ◽  
Velocity Scatter

AbstractPrecise measurements of heliographic position of solar filaments were used for determination of the proper motion of solar filaments on the time-scale of days. The filaments have a tendency to make a shaking or waving of the external structure and to make a general movement of whole filament body, coinciding with the transport of the magnetic flux in the photosphere. The velocity scatter of individual measured points is about one order higher than the accuracy of measurements.

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