Results 31 to 40 of about 79,648 (296)
Computation, 2021 The matched interface and boundary method (MIB) and ghost fluid method (GFM) are two well-known methods for solving elliptic interface problems. Moreover, they can be coupled with efficient time advancing methods, such as the alternating direction ...
Chuan Li +3 more
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From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods
Axioms, 2022 The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence implicit (CDI) FDTD method.
Eng Leong Tan
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Time-dependent Hartree-Fock theory of charge exchange: Application to He2+ + He [PDF]
, 1982 An application of the time-dependent Hartree-Fock (TDHF) theory of charge transfer in atomic collisions is presented. Probabilities for elastic and double symmetric charge exchange are calculated for a fixed laboratory scattering angle and for collision ...
Koonin, S. E. +2 more
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A parallel alternating direction implicit preconditioning method
Journal of Computational and Applied Mathematics, 1991 The fast convergence of the ADI method predestines it to be used as a preconditioner \(M_ k^{-1}\) if a certain number of k iterations are applied to determine an approximate solution of a system of linear equations with the matrix \(A=H+V.\) An algorithm is described to compute the preconditioner \(M_ k^{-1}\) in order to achieve the maximum degree of
Jiang, Hong, Wong, Yau Shu
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Advances in Mechanical Engineering, 2022 As a Lagrangian mesh free method, Moving Particle Semi-implicit (MPS) method can easily handle complex incompressible flow with free surface. However, some deficiencies of MPS method such as inaccurate results, unphysical pressure oscillation and ...
Date Li, Huaixin Zhang, Huilan Yao
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A Finite Difference Method for Solving the Wave Equation with Fractional Damping
Mathematical and Computational Applications, 2023 In this paper, we develop a finite difference method for solving the wave equation with fractional damping in 1D and 2D cases, where the fractional damping is given based on the Caputo fractional derivative.
Manruo Cui, Cui-Cui Ji, Weizhong Dai
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Low-Rank Methods for Solving Discrete-Time Projected Lyapunov Equations
MathematicsIn this paper, we consider the numerical solution of large-scale discrete-time projected Lyapunov equations. We provide some reasonable extensions of the most frequently used low-rank iterative methods for linear matrix equations, such as the low-rank ...
Yiqin Lin
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Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation
Mathematics, 2022 In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
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An Alternating Direction Implicit Finite Element Galerkin Method for the Linear Schrödinger Equation
Numerical Algorithms, 2023 Abstract We formulate and analyze a fully-discrete approximate solution of the linear Schrödinger equation on the unit square written as a Schrödinger-type system. The finite element Galerkin method is used for the spatial discretization, and the time-stepping is done with an alternating direction implicit extrapolated Crank-Nicolson method. We
Morrakot Khebchareon +3 more
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Fractal and Fractional, 2023 This paper investigates a two-dimensional Riemann–Liouville distributed-order space fractional diffusion equation (RLDO-SFDE). However, many challenges exist in deriving analytical solutions for fractional dynamic systems.
Mengchen Zhang, Ming Shen, Hui Chen
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