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- research-articleFebruary 2020
Treatment of Complex Interfaces for Maxwell’s Equations with Continuous Coefficients Using the Correction Function Method
Journal of Scientific Computing (JSCI), Volume 82, Issue 3https://doi.org/10.1007/s10915-020-01148-6AbstractWe propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without significantly increasing the complexity of the numerical approach for constant coefficients. Correction functions ...
- articleMay 2018
Differential Faraday Rotation and Polarimetric SAR
SIAM Journal on Applied Mathematics (SJAM), Volume 78, Issue 3Pages 1422–1449https://doi.org/10.1137/17M114042XThe propagation of linearly polarized electromagnetic waves through the Earth's ionosphere is accompanied by Faraday rotation (FR), which is due to gyrotropy of the ionospheric plasma in the magnetic field of the Earth. FR may cause distortions of the ...
- research-articleOctober 2007
A mode elimination technique to improve convergence of iteration methods for finding solitary waves
Journal of Computational Physics (JOCP), Volume 226, Issue 2Pages 1693–1709https://doi.org/10.1016/j.jcp.2007.06.010We extend the key idea behind the generalized Petviashvili method of T.I. Lakoba, J. Yang, A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity, J. Comput. Phys., this issue, doi:...
- research-articleOctober 2007
A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity
Journal of Computational Physics (JOCP), Volume 226, Issue 2Pages 1668–1692https://doi.org/10.1016/j.jcp.2007.06.009The Petviashvili's iteration method has been known as a rapidly converging numerical algorithm for obtaining fundamental solitary wave solutions of stationary scalar nonlinear wave equations with power-law nonlinearity: -Mu+up=0, where M is a positive ...