A class of iterative solvers for the Helmholtz equation: Factorizations, swee** preconditioners, source transfer, single layer potentials, polarized traces, and …
Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into develo** …
and over the last two decades an important research effort has gone into develo** …
Quasinormal mode solvers for resonators with dispersive materials
Optical resonators are widely used in modern photonics. Their spectral response and
temporal dynamics are fundamentally driven by their natural resonances, the so-called …
temporal dynamics are fundamentally driven by their natural resonances, the so-called …
Complex frequency-shifted perfectly matched layers for 2.5 D frequency-domain marine controlled-source EM field simulations
G Li, L Zhang, BK Goswami - Surveys in Geophysics, 2022 - Springer
For geophysical electromagnetic (EM) forward modeling problems, the accuracy of solutions
mainly depends on the numerical modeling method used and the corresponding boundary …
mainly depends on the numerical modeling method used and the corresponding boundary …
Распределение нулей полиномов Паде и аналитическое продолжение
СП Суетин - Успехи математических наук, 2015 - mathnet.ru
Распределение нулей полиномов Паде и аналитическое продолжение Page 1 2015 г.
сентябрь — октябрь т. 70, вып. 5(425) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК 517.53 …
сентябрь — октябрь т. 70, вып. 5(425) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК 517.53 …
Zolotarev quadrature rules and load balancing for the FEAST eigensolver
The FEAST method for solving large sparse eigenproblems is equivalent to subspace
iteration with an approximate spectral projector and implicit orthogonalization. This relation …
iteration with an approximate spectral projector and implicit orthogonalization. This relation …
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering
This paper deals with the design and validation of accurate local absorbing boundary
conditions set on convex polygonal and polyhedral computational domains for the finite …
conditions set on convex polygonal and polyhedral computational domains for the finite …
Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: The power of Zolotarev's functions
Y Nakatsukasa, RW Freund - siam REVIEW, 2016 - SIAM
The symmetric eigenvalue decomposition and the singular value decomposition (SVD) are
fundamental matrix decompositions with many applications. Conventional algorithms for …
fundamental matrix decompositions with many applications. Conventional algorithms for …
A reflectionless discrete perfectly matched layer
A Chern - Journal of Computational Physics, 2019 - Elsevier
Abstract Perfectly Matched Layer (PML) is a widely adopted non-reflecting boundary
treatment for wave simulations. Reducing numerical reflections from a discretized PML has …
treatment for wave simulations. Reducing numerical reflections from a discretized PML has …
[KNYGA][B] Computational methods for nanoscale applications
I Tsukerman - 2008 - Springer
The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …
Improved near-field PML absorbing functions for exterior three-dimensional Helmholtz problems
The perfectly matched layer technique is routinely used and relied upon to solve time-
harmonic radiation and scattering problems. Its purpose is to truncate the computational …
harmonic radiation and scattering problems. Its purpose is to truncate the computational …