New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics [PDF]
International Journal of Applied Mechanics and Engineering, 2021 This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics.
M. Paliivets +4 more
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A higher order frozen Jacobian iterative method for solving Hamilton-Jacobi equations [PDF]
, 2016 It is well-known that the solution of Hamilton-Jacobi equation may have singularity i.e., the solution is non-smooth or nearly non-smooth. We construct a frozen Jacobian multi-step iterative method for solving Hamilton-Jacobi equation under the ...
Younas, Arshad M. M. +11 more
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A numerical study of iterative substructuring method for finite element analysis of high frequency electromagnetic fields [PDF]
, 2016 This paper describes iterative methods for the high frequency electromagnetic analysis using the finite element method of Maxwell equations including displacement current. The conjugate orthogonal conjugate gradient method has been widely used to solve a
Ogino, Masao +7 more
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A Note on an Iterative Method for Root Extraction [PDF]
, 1958 A double iterative method for evaluating y/x1/n is derived and it is shown that if −1 ⩽ yn < x < 1 then it can be arranged that all terms occurring in the iteration are also within this range.
Gower, J. C.
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PHSS Iterative Method for Solving Generalized Lyapunov Equations
Mathematics, 2019 Based on previous research results, we propose a new preprocessing HSS iteration method (PHSS) for the generalized Lyapunov equation. At the same time, the corresponding inexact PHSS algorithm (IPHSS) is given from the angle of application.
Shi-Yu Li, Hai-Long Shen, Xin-Hui Shao
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An Improved Algorithm For The Solution of Kepler‘s Equation For An Elliptical Orbit [PDF]
Engineering and Technology Journal, 2010 In this paper, a root finding method due to iterative method is used first to thesolution of Kepler's equation for an elliptical orbit. Then the extrapolationtechnique in the form of Aitken D2 - acceleration is applied to improve theconvergence of the ...
Mohammed S. Rasheed
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Frozen Jacobian iterative method for solving systems of nonlinear equations: application to nonlinear IVPs and BVPs [PDF]
, 2016 Frozen Jacobian iterative methods are of practical interest to solve the system of nonlinear equations. A frozen Jacobian multi-step iterative method is presented.
Alzahrani, A. K. +6 more
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Robust Stability of Iterative Learning Control Schemes [PDF]
, 2007 A notion of robust stability is developed for iterative learning control in the context of disturbance attenuation. The size of the unmodelled dynamics is captured via a gap distance, which in turn is related to the standard H2 gap metric, and the ...
Mark French, French, Mark
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An Iterative Ab Initio Non-Hermitian Floquet Method for Photoionization Resonances [PDF]
, 2020 We present an efficient ab initio non-Hermitian Floquet method for computing the photoionization resonances of an electronic system interacting with linearly polarizedmonochromatic laser light.
sajeev, Y
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The Four-Parameter PSS Method for Solving the Sylvester Equation
Mathematics, 2019 In order to solve the Sylvester equations more efficiently, a new four parameters positive and skew-Hermitian splitting (FPPSS) iterative method is proposed in this paper based on the previous research of the positive and skew-Hermitian splitting (PSS ...
Hai-Long Shen, Yan-Ran Li, Xin-Hui Shao
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