Results 11 to 20 of about 824,222 (268)
Sussing merger trees: stability and convergence [PDF]
Monthly Notices of the Royal Astronomical Society, 2016 16 pages, 14 figures, accepted by ...
Wang, Yang +17 more
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An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation
Advances in Difference Equations, 2017 In this paper, we devote ourselves to establishing the unconditionally stable and absolutely convergent optimized finite difference Crank-Nicolson iterative (OFDCNI) scheme containing very few degrees of freedom but holding sufficiently high accuracy for
Hong Xia, Zhendong Luo
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Mathematics, 2021 This paper presents a practical numerical method, an implicit finite-difference scheme for solving a two-dimensional time-space fractional Fokker–Planck equation with space–time depending on variable coefficients and source term, which represents a model
Elsayed I. Mahmoud, Viktor N. Orlov
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Stability and Convergence of Product Formulas for Operator Matrices [PDF]
, 2012 We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas.
A. Bátkai +15 more
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Разностная схема для уравнения конвекции-диффузии дробного порядка
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 Построена разностная схема, аппроксимирующая первую краевую задачу для уравнения конвекции-диффузии дробного порядка с постоянными коэффициентами. Исследована устойчивость и сходимость разностной схемы.
Казакова, Е.М.
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The convergence rate of approximate solutions for nonlinear scalar conservation laws [PDF]
, 1992 The convergence rate is discussed of approximate solutions for the nonlinear scalar conservation law. The linear convergence theory is extended into a weak regime. The extension is based on the usual two ingredients of stability and consistency.
Nessyahu, Haim, Tadmor, Eitan
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Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]
, 2010 Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
A. Rodkina +28 more
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An Explicit–Implicit Spectral Element Scheme for the Nonlinear Space Fractional Schrödinger Equation
Fractal and Fractional, 2023 In this paper, we solve the space fractional nonlinear Schrödinger equation (SFNSE) by developing an explicit–implicit spectral element scheme, which is formulated based on the Legendre spectral element approximation in space and the Crank–Nicolson leap ...
Zeting Liu, Baoli Yin, Yang Liu
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Fractal and Fractional, 2022 This paper aims to numerically study the time-fractional Allen-Cahn equation, where the time-fractional derivative is in the sense of Caputo with order α∈(0,1). Considering the weak singularity of the solution u(x,t) at the starting time, i.e., its first
Zhen Wang, Luhan Sun, Jianxiong Cao
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On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws [PDF]
, 2016 In this paper, we present a shock capturing discontinuous Galerkin (SC-DG) method for nonlinear systems of conservation laws in several space dimensions and analyze its stability and convergence.
May, Georg, Zakerzadeh, Mohammad
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