Results 11 to 20 of about 3,166 (168)
Advances in Difference Equations, 2018 According to the principle of conservation of mass and the fractional Fick’s law, a new two-sided space-fractional diffusion equation was obtained. In this paper, we present two accurate and efficient numerical methods to solve this equation.
Xiucao Yin, Shaomei Fang, Changhong Guo
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Discretization of asymptotically stable homogeneous systems by explicit and implicit euler methods [PDF]
2016 IEEE 55th Conference on Decision and Control (CDC), 2016 Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit Euler method has certain drawbacks for the global approximation of homogeneous systems with non-zero ...
Efimov, Denis +3 more
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The Lie group Euler methods of multibody system dynamics with holonomic constraints
Advances in Mechanical Engineering, 2018 The Euler methods on Lie group are developed for the differential–algebraic equations of multibody system dynamics with holonomic constraints. The implicit Euler method is used to solve the differential–algebraic equations as Euler–Lagrange equations on ...
Jieyu Ding, Zhenkuan Pan
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Advances in Mechanical Engineering, 2019 The implicit methods on Lie group are developed for multibody system dynamics. To avoid the violation of the displacement, velocity and acceleration constraints of the nonlinear differential-algebraic equations, the constraint-stabilized equations on Lie
Jieyu Ding, Zhenkuan Pan, Wei Zhang
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Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics
Frontiers in Energy Research, 2021 Aiming at the lumped-circuits model of the lossless transmission line in the digital simulation, the article discusses and analyzes the unit step response generation of the lumped-circuits model by comparing the numerical simulation results of the ...
Huiyi Zhou +3 more
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Semi-implicit Euler–Maruyama method for non-linear time-changed stochastic differential equations [PDF]
BIT Numerical Mathematics, 2020 21 pages, 6 ...
Deng, Chang-Song, Liu, Wei
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MATEC Web of Conferences, 2017 In this article we study the mean square consistency on numerical solutions of stochastic wave equations with cubic nonlinearities on two dimensional rectangles.
Hazaimeh Haziem M.
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The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Parameter Uniform Numerical Method for Singularly Perturbed 2D Parabolic PDE with Shift in Space
Mathematics, 2022 Singularly perturbed 2D parabolic delay differential equations with the discontinuous source term and convection coefficient are taken into consideration in this paper. For the time derivative, we use the fractional implicit Euler method, followed by the
V. Subburayan, S. Natesan
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High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system
Advances in Aerodynamics, 2020 The computation of compressible flows at all Mach numbers is a very challenging problem. An efficient numerical method for solving this problem needs to have shock-capturing capability in the high Mach number regime, while it can deal with stiffness and ...
Yanqun Jiang +4 more
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