Results 31 to 40 of about 184,541 (267)
An exponential B-spline collocation method for the fractional sub-diffusion equation
Advances in Difference Equations, 2017 In this article, we propose an exponential B-spline approach to obtain approximate solutions for the fractional sub-diffusion equation of Caputo type. The presented method is established via a uniform nodal collocation strategy by using an exponential B ...
Xiaogang Zhu +4 more
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Mathematics, 2020 In this paper, a finite volume element (FVE) method is proposed for the time fractional Sobolev equations with the Caputo time fractional derivative. Based on the L1-formula and the Crank–Nicolson scheme, a fully discrete Crank–Nicolson FVE scheme is ...
Jie Zhao +3 more
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IEEE Access, 2018 Based on the explicit finite-difference time-domain (FDTD) and implicit Crank–Nicolson (CN) FDTD methods, this paper presents a hybrid sub-gridded scheme whose time step size depends on the coarse grid size for numerically simulating the 3-D ...
Xiao-Kun Wei, Wei Shao, Xiao-Hua Wang
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High-order compact finite difference schemes for option pricing in stochastic volatility models on non-uniform grids [PDF]
, 2014 We derive high-order compact finite difference schemes for option pricing in stochastic volatility models on non-uniform grids. The schemes are fourth-order accurate in space and second-order accurate in time for vanishing correlation.
Benhamou +25 more
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Global stability for convection when the viscosity has a maximum [PDF]
, 2004 Until now, an unconditional nonlinear energy stability analysis for thermal convection according to Navier–Stokes theory had not been developed for the case in which the viscosity depends on the temperature in a quadratic manner such that the viscosity ...
Díaz Díaz, Jesús Ildefonso +1 more
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Unconditional stability of difference formulas [PDF]
Applications of Mathematics, 1983 The initial-value problem for the equation \[ dy(t)/dt=A\quad y(t),\quad t>0 \] where A is a linear operator in a complex Banach space X, in the case, when it is a partial differential equation of evolution type, is considered. The problem is solved by using a k-step formula (\(k\geq 1)\) of the form: \[ (*)\quad p_ 0(\Delta t.A_ n)\quad u_ j=p_ 1\quad(
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Mathematics, 2023 We here employ a proper orthogonal decomposition (POD) to reduce the dimensionality of unknown coefficient vectors of finite element (FE) solutions for the fractional Tricomi-type equation and develop a reduced-dimension extrapolating FE (RDEFE) method ...
Yuejie Li, Zhendong Luo
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Birefringent dispersive FDTD subgridding scheme [PDF]
, 2016 A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making mu or epsilon inside the subgrid dispersive, unconditional stability is induced at the cost of a sparse ...
De Deckere, B +3 more
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Unconditional Stabilization of CS and CG MESFET Transistor [PDF]
31st European Microwave Conference, 2001, 2001 Feedback is used to achieve multi-band unconditional stability for GaAs MESFET transistor. Analytical formulation based on evaluating the stability parameters as a function of the transistor model elements is provided, with two methods to accurately estimate the feedback values needed for all-band unconditional stability.
Hammad, Hany F. +2 more
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The Benard problem for nonlinear heat conduction: unconditional stability [PDF]
The Quarterly Journal of Mechanics and Applied Mathematics, 1999 The authors consider an infinite horizontal layer of viscous incompressible fluid in Boussinesq approximation. The steady motionless equilibrium state is identified, and its nonlinear stability to spatially periodic perturbations along the layer is investigated.
RIONERO, SALVATORE, FLAVIN J. N.
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