Zobrazeno 1 - 10
of 16 666
pro vyhledávání: '"Nicolson P"'
Solving the Bhatnagar-Gross-Krook (BGK) equation with a stochastic particle approach enables efficient and flexible simulations of flows in the transition regime, between continuum and free molecular flow. However, the usual first-order operator spli
Externí odkaz:
http://arxiv.org/abs/2411.19076
Autor:
Kabir, Adib
This study presents a numerical simulation of a quantum electron confined in a 10 nm potential well, using the Crank-Nicolson numerical technique to solve the time-dependent Schrodinger equation. The results capture the evolution of the electron's wa
Externí odkaz:
http://arxiv.org/abs/2410.10060
In this work, we develop Crank-Nicolson-type iterative decoupled algorithms for a three-field formulation of Biot's consolidation model using total pressure. We begin by constructing an equivalent fully implicit coupled algorithm using the standard C
Externí odkaz:
http://arxiv.org/abs/2409.18391
Ensemble Kalman Inversion (EKI) has been proposed as an efficient method for the approximate solution of Bayesian inverse problems with expensive forward models. However, when applied to the Bayesian inverse problem EKI is only exact in the regime of
Externí odkaz:
http://arxiv.org/abs/2407.07781
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31470-31494 (2024)
A new nonlinear fourth-order sin-Gordon equation with actual physical background is first created. Then, by introducing an auxiliary function, the nonlinear fourth-order sin-Gordon equation is decomposed into the nonlinear system of equations of seco
Externí odkaz:
https://doaj.org/article/3511bae0a8034099866285523ad49ed7
In this paper we continue the work on implicit-explicit (IMEX) time discretizations for the incompressible Oseen equations that we started in \cite{BGG23} (E. Burman, D. Garg, J. Guzm\`an, {\emph{Implicit-explicit time discretization for Oseen's equa
Externí odkaz:
http://arxiv.org/abs/2405.12562
In this paper, we propose a novel mass and energy conservative relaxation Crank-Nicolson finite element method for the Schr\"{o}dinger-Poisson equation. Utilizing only a single auxiliary variable, we simultaneously reformulate the distinct nonlinear
Externí odkaz:
http://arxiv.org/abs/2405.12848
Publikováno v:
Phys. Rev. A 110,042415 (2024)
In this paper we use a Variational Quantum Algorithm to solve Initial Value Problems with the Implicit Crank-Nicolson and the Method of Lines (MoL) evolution schemes. The unknown functions use a spectral decomposition with the Fourier basis. The exam
Externí odkaz:
http://arxiv.org/abs/2404.07016
Akademický článek
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Publikováno v:
Electronic Research Archive, Vol 32, Iss 7, Pp 4433-4453 (2024)
The keys to constructing numerical schemes for nonlinear partial differential equations are accuracy, handling of the nonlinear terms, and physical properties (energy dissipation or conservation). In this paper, we employ the exponential scalar auxil
Externí odkaz:
https://doaj.org/article/fd759c2d25a2492eb4d750a6dc9dd290