Results 71 to 80 of about 1,759 (181)

Some Hyperbolic Iterative Methods for Linear Systems

Journal of Applied Mathematics, 2020
The indefinite inner product defined by J=diagj1,…,jn, jk∈−1,+1, arises frequently in some applications, such as the theory of relativity and the research of the polarized light.
K. Niazi Asil, M. Ghasemi Kamalvand
doaj   +1 more source

Solving Nonholonomic Systems with the Tau Method

Mathematical and Computational Applications, 2019
A numerical procedure based on the spectral Tau method to solve nonholonomic systems is provided. Nonholonomic systems are characterized as systems with constraints imposed on the motion.
Alexandra Gavina, José M. A. Matos, Paulo B. Vasconcelos   +2 more
doaj   +1 more source

The Analytic Lanczos Method

, 1997
The classical formalism of the Moment Problem has been combined with a cumulant approach and applied to the extensive many-body problem. This has yielded many new exact results for many-body systems in the thermodynamic limit - for the ground state energy, for excited state gaps, and for arbitrary ground state averages.
openaire   +2 more sources

Krylov complexity for Lin-Maldacena geometries and their holographic duals

Journal of High Energy Physics
We compute the rate of growth of operator size in matrix models by probing the Lin-Maldacena class of geometries with classical probes. We consider massive point particle probes whose proper momentum equals the size of the gauge invariant operator in the
Dibakar Roychowdhury
doaj   +1 more source

Magnetic field independent shape of the zero-energy landau levels in a disordered T3 model

New Journal of Physics, 2019
Using the Lanczos recursion method, we exactly determine the shape of the zero-energy Landau level (LL) in a disordered T _3 lattice under a strong magnetic field.
Zhi Yang, Weiwei Chen, Qunxiang Li, Q W Shi   +3 more
doaj   +1 more source

Theoretical error bounds on the convergence of the Lanczos and block-Lanczos methods

Computers & Mathematics with Applications, 1999
New theoretical error bounds on the convergence of the Lanczos and block Lanczos methods are established. Similar results are found for the eigenelements by using bounds on the acute angle between the exact eigenvectors and the Krylov subspace spanned by \(x_0,Ax_0,\dots, A^{n-1}x_0\), where \(x_0\) is the initial starting vector of the process ...
openaire   +2 more sources

Applying the Liouville–Lanczos method of time-dependent density-functional theory to warm dense matter

Matter and Radiation at Extremes
Ab initio modeling of dynamic structure factors (DSF) and related density response properties in the warm dense matter (WDM) regime is a challenging computational task.
Zhandos A. Moldabekov, Sebastian Schwalbe, Thomas Gawne, Thomas R. Preston, Jan Vorberger, Tobias Dornheim   +5 more
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Nonlinear spectroscopy as a magnon breakdown diagnosis and its efficient simulation

Physical Review Research
Identifying quantum spin liquids, magnon breakdown, or fractionalized excitations in quantum magnets is an ongoing challenge due to the ambiguity in interpreting excitation continua occurring in linear-response probes.
David A. S. Kaib, Marius Möller, Roser Valentí   +2 more
doaj   +1 more source

Dynamic Stability of an Elastic Rotating System: Shell-Disc-Shaft

International Journal of Rotating Machinery, 1997
This paper presents a methodology and some results on the dynamic stability of an elastic rotating system consisting of one- and twodimensional members. These parts may contain different kinds of unsymmetries: either from mass- or stiffness imperfections
P. Ruge, P. Senker
doaj   +1 more source

Inflationary Krylov complexity

Journal of High Energy Physics
In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation, using the algorithm in closed system and open system.
Tao Li, Lei-Hua Liu
doaj   +1 more source