Lanczos pseudospectral method for initial-value problems in electrodynamics and its applications to ionic crystal gratings

DOI10.1016/j.jcp.2005.03.034zbMath1100.78021OpenAlexW2059817907MaRDI QIDQ2485387

Andrei G. Borisov, Sergei V. Shabanov

Publication date: 4 August 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2005.03.034

zbMATH Keywords

Maxwell equationsSchrödinger equationpseudospectral methodsLanczos algorithmArnoldi processgratingstime-domain algorithmspolaritonic excitations

Mathematics Subject Classification ID

Related Items (3)

Wave packet propagation by the Faber polynomial approximation in electrodynamics of passive media ⋮ A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media ⋮ RESONANT LIGHT SCATTERING AND HIGHER HARMONIC GENERATION BY PERIODIC SUBWAVELENGTH ARRAYS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A comparison of different propagation schemes for the time dependent Schrödinger equation
• A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics
• Analysis of the symmetric Lanczos algorithm with reorthogonalization methods
• Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation
• Applications of the wave packet method to resonant transmission and reflection gratings
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• On Krylov Subspace Approximations to the Matrix Exponential Operator
• Iterative Krylov Methods for Large Linear Systems
• Feynman Integrals and the Schrödinger Equation
• Solving the Maxwell equations by the Chebyshev method: a one-step finite-difference time-domain algorithm
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
• A new absorbing layer boundary condition for the wave equation

This page was built for publication: Lanczos pseudospectral method for initial-value problems in electrodynamics and its applications to ionic crystal gratings