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An unconditionally stable artificial compression method for the time‐dependent groundwater‐surface water flows

Numerical Methods for Partial Differential Equations, 2023
In this article, we propose a second order, unconditionally stable artificial compression method for the fully evolutionary Stokes/Darcy and Navier‐Stokes/Darcy equations that model the coupling surface and groundwater flows.
Yi Qin, Yang Wang, Yanren Hou, Jian Li
semanticscholar   +1 more source

An unconditionally stable numerical method for bimodal image segmentation

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibao Li, Junseok Kim 0004
openaire   +2 more sources

A technique for reducing the numerical dispersion of conditionally and unconditionally stable FDTD methods

2008 IEEE Antennas and Propagation Society International Symposium, 2008
We present an approach to reduce the numerical dispersion of the FDTD method for its conditionally and unconditionally stable implementations. Significant reduction of the numerical error is achieved in a wide frequency band and for low spatial sampling rates.
S. Ogurtsov, S. Georgakopoulos
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An unconditionally stable numerical method for the Luo–Rudy 1 model used in simulations of defibrillation

Mathematical Biosciences, 2007
Numerical simulations of defibrillation using the Bidomain model coupled to a model of membrane kinetics represent a serious numerical challenge. This is because very high voltages close to defibrillation electrodes demand that extreme time step restrictions be placed on standard numerical schemes, e.g. the forward Euler scheme.
Hanslien, Monica   +2 more
openaire   +2 more sources

A two-step unconditionally stable explicit method with controllable numerical dissipations

Earthquake Engineering and Engineering Vibration, 2019
A family of unconditionally stable direct integration algorithm with controllable numerical dissipations is proposed. The numerical properties of the new algorithms are controlled by three parameters α, β and γ. By the consistent and stability analysis, the proposed algorithms achieve the second-order accuracy and are unconditionally stable under the ...
Jinze Li, Kaiping Yu, Xiangyang Li
openaire   +1 more source

Novel Unconditionally Stable ADI-FDTD Method with Low Numerical Dispersion

2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018
A novel unconditional stable 2-D ADI-FDTD method with low numerical dispersion is introduced. The proposed method reformed the weighting factor and scaling factor of the isotropic-dispersion FDTD (ID-FDTD) for an optimized ADI-FDTD method, which can generate nearly the exact phase velocity for a single frequency.
Jinchao Ding   +4 more
openaire   +1 more source

A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations

Applied Mathematics and Computation, 2020
In this article, we apply the generalized BDF2-θ to the fractional mobile/immobile transport equations for its temporal discretization and the finite element method in the spatial direction.
Baoli Yin, Yang Liu, Hong Li
semanticscholar   +1 more source

An unconditionally stable algorithm for multiterm time fractional advection–diffusion equation with variable coefficients and convergence analysis

Numerical Methods for Partial Differential Equations, 2020
This paper focuses on the numerical solution of the variable coefficient multiterm time fractional advection–diffusion equation via exponential B‐splines.
A. R. Ravi Kanth, N. Garg
semanticscholar   +1 more source

One-step Unconditionally Stable FDTD method and its numerical dispersion analysis

2008 International Conference on Microwave and Millimeter Wave Technology, 2008
The proposed two-dimensional one-step unconditionally stable finite-difference time-domain algorithm (one-step US-FDTD) is an implicit numerical scheme with second-order accuracy in both time and space. The method is performed using only one procedure, but not two sub-updating procedures.
null Song Liu   +3 more
openaire   +1 more source

Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation

Numerical Algorithms
In this paper, we present several unconditionally energy-stable invariant energy quadratization (IEQ) finite element methods (FEMs) with linear, first- and second-order accuracy for solving both the Cahn-Hilliard equation and the Allen-Cahn equation. For
Yaoyao Chen   +3 more
semanticscholar   +1 more source

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