Zobrazeno 1 - 10
of 138
pro vyhledávání: '"APPELÖ, DANIEL"'
In this paper we prove that for stable semi-discretizations of the wave equation for the WaveHoltz iteration is guaranteed to converge to an approximate solution of the corresponding frequency domain problem, if it exists. We show that for certain cl
Externí odkaz:
http://arxiv.org/abs/2407.06929
High order accurate Hermite methods for the wave equation on curvilinear domains are presented. Boundaries are treated using centered compatibility conditions rather than more standard one-sided approximations. Both first-order-in-time (FOT) and seco
Externí odkaz:
http://arxiv.org/abs/2406.19496
Autor:
Appelö, Daniel, Cheng, Yingda
In this work, we develop implicit rank-adaptive schemes for time-dependent matrix differential equations. The dynamic low rank approximation (DLRA) is a well-known technique to capture the dynamic low rank structure based on Dirac-Frenkel time-depend
Externí odkaz:
http://arxiv.org/abs/2402.05347
Autor:
Peng, Zhichao, Appelö, Daniel, Petersson, N. Anders, Motamed, Mohammad, Garcia, Fortino, Cho, Yujin
Motivated by the noisy and fluctuating behavior of current quantum computing devices, this paper presents a data-driven characterization approach for estimating transition frequencies and decay times in a Lindbladian dynamical model of a superconduct
Externí odkaz:
http://arxiv.org/abs/2306.13747
An additive Runge-Kutta method is used for the time stepping, which integrates the linear stiff terms by an explicit singly diagonally implicit Runge-Kutta (ESDIRK) method and the nonlinear terms by an explicit Runge-Kutta (ERK) method. In each time
Externí odkaz:
http://arxiv.org/abs/2306.02526
The Hermite-Taylor Correction Function Method for Embedded Boundary and Maxwell's Interface Problems
We propose a novel Hermite-Taylor correction function method to handle embedded boundary and interface conditions for Maxwell's equations. The Hermite-Taylor method evolves the electromagnetic fields and their derivatives through order $m$ in each Ca
Externí odkaz:
http://arxiv.org/abs/2301.01752
Autor:
Law, Yann-Meing, Appelö, Daniel
The Hermite-Taylor method, introduced in 2005 by Goodrich, Hagstrom and Lorenz, is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains. Unfortunately its widespread use has been prevented by the lack of a syste
Externí odkaz:
http://arxiv.org/abs/2210.07134
In this paper we extend analysis of the WaveHoltz iteration -- a time-domain iterative method for the solution of the Helmholtz equation. We expand the previous analysis of energy conserving problems and prove convergence of the WaveHoltz iteration f
Externí odkaz:
http://arxiv.org/abs/2205.12349
We consider the application of the WaveHoltz iteration to time-harmonic elastic wave equations with energy conserving boundary conditions. The original WaveHoltz iteration for acoustic Helmholtz problems is a fixed-point iteration that filters the so
Externí odkaz:
http://arxiv.org/abs/2205.12344
We develop a universally applicable embedded boundary finite difference method, which results in a symmetric positive definite linear system and does not suffer from small cell stiffness. Our discretization is efficient for the wave, heat and Poisson
Externí odkaz:
http://arxiv.org/abs/2204.06083