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Statistical analysis of differential equations: introducing probability measures on numerical solutions. [PDF]
Stat Comput, 2017 Conrad PR +4 more
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Unbounded Regions of High-Order Voronoi Diagrams of Lines and Line Segments in Higher Dimensions. [PDF]
Discrete Comput GeomBarequet G, Papadopoulou E, Suderland M.
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Journal of Computational Mathematics, 2022
We consider a nonlinear stochastic Volterra integral equation with time-dependent delay and the corresponding Euler-Maruyama method in this paper. Strong convergence rate (at fixed point) of the corresponding Euler-Maruyama method is obtained when ...
Guangqiang Lan null, Siyuan Qi
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We consider a nonlinear stochastic Volterra integral equation with time-dependent delay and the corresponding Euler-Maruyama method in this paper. Strong convergence rate (at fixed point) of the corresponding Euler-Maruyama method is obtained when ...
Guangqiang Lan null, Siyuan Qi
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Journal of Computational Mathematics, 2022
In this paper, the numerical methods for semi-linear stochastic delay integro-differential equations are studied. The uniqueness, existence and stability of analytic solutions of semi-linear stochastic delay integro-differential equations are studied and
Haiyan Yuan
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In this paper, the numerical methods for semi-linear stochastic delay integro-differential equations are studied. The uniqueness, existence and stability of analytic solutions of semi-linear stochastic delay integro-differential equations are studied and
Haiyan Yuan
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Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays
Journal of Computational Mathematics, 2022This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the ...
Yuhao Cong null, Shouyan Wu
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High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity
Journal of Computational Mathematics, 2020In this paper, efficient numerical scheme is proposed for solving the water wave model with nonlocal viscous term that describe the propagation of surface water wave.
Mo Xu
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Journal of Computational Mathematics, 2019
This paper develops a class of general one-step discretization methods for solving the index-1 stochastic delay differential-algebraic equations. The existence and uniqueness theorem of strong solutions of index-1 equations is given. A strong convergence
Tingting Zhang
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This paper develops a class of general one-step discretization methods for solving the index-1 stochastic delay differential-algebraic equations. The existence and uniqueness theorem of strong solutions of index-1 equations is given. A strong convergence
Tingting Zhang
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African Multidisciplinary Journal of Sciences and Artificial Intelligence
This paper introduces a novel Trigonometric-Fitted One-Step 3 Points Hybrid Block Method tailored for addressing the complexities associated with stiff and oscillating differential equations.The continuous hybrid technique was created using the ...
Raymond Dominic +2 more
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This paper introduces a novel Trigonometric-Fitted One-Step 3 Points Hybrid Block Method tailored for addressing the complexities associated with stiff and oscillating differential equations.The continuous hybrid technique was created using the ...
Raymond Dominic +2 more
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Numerical Mathematics: Theory, Methods and Applications, 2019
This paper is mainly concerned with the strong convergence analysis of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations (SVIDEs).
Jianfang Gao
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This paper is mainly concerned with the strong convergence analysis of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations (SVIDEs).
Jianfang Gao
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