Results 181 to 190 of about 360 (203)
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Superattracting cycles of the relaxed Newton’s method for entire functions
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Method for determining relaxation factor for modified Newton-Raphson method
IEEE Transactions on Magnetics, 1993In order to reduce the CPU time for the modified Newton-Raphson method which introduces a relaxation factor, the effect of the relaxation factor on the residual of the Galerkin method is examined in detail. It is shown that a relaxation factor which always provides convergent solutions can be easily searched.
Fujiwara, Koji +3 more
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Quasi-Newton Waveform Relaxation Based on Energy Method
Journal of Computational Mathematics, 2018A quasi-Newton waveform relaxation (WR) algorithm for semi-linear reaction-diffusion equations is presented at first in this paper. Using the idea of energy estimate, a general proof method for convergence of the continuous case and the discrete case of quasi-Newton WR is given, which appears to be the superlinear rate.
Yaolin Jiang, Zhen Miao
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Relaxing the convergence conditions for Newton-like methods
Journal of Applied Mathematics and Computing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergence properties of waveform relaxation‐newton method
Electronics and Communications in Japan (Part III: Fundamental Electronic Science), 1989AbstractThis paper shows the following properties for the waveform relaxation‐Newton method: (1) the iterative solution converges uniformly and globally under the same condition as the convergence condition for the waveform relaxation method; (2) the waveform Newton method used in the inner loop of the iteration converges locally with the second‐order;
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Waveform relaxation–Newton method to determine steady state of an electromagnetic structure
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2017Purpose The purpose of this study is to determine the steady state of an electromagnetic structure using the finite element method (FEM) without calculation of the transient state. The proposed method permits to reduce the computation time if the transient state is important.
Caron, Guillaume +3 more
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Improved waveform-relaxation-Newton method (MOS circuit testing)
IEEE International Symposium on Circuits and Systems, 2003After introducing the waveform relaxation (WR) concept, the authors briefly describe how WR was implemented in the simulator SISAL. They analyze a refinement of WR called waveform relaxation Newton (WRN). They reveal the interrelation of both methods and introduce an improved implementation technique of the WRN algorithm. Numerical results are reported.
B. Klaassen, K.L. Paap, P.G. Ploeger
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Relaxation-Newton methods for transient stability analysis on a vector/parallel computer
IEEE Transactions on Power Systems, 1993In this paper, the implementation of transient stability analysis programs on a vector/parallel computer is considered. The windowing technique is adopted. The parallelism-in-time is exploited by using the Gauss-Jacobi or the Gauss-Seidel methods to relax the dependency between time steps within a time window; the Newton method is employed to solve the
Granelli G. P +3 more
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Local convergence of a relaxed two-step Newton like method with applications
Journal of Mathematical Chemistry, 2017The article deals with two-step Newton-like approximations \[ \begin{aligned} x_{n+1} & = x_n - \mu_n F'(x_n)^{-1}[y_n,x_n;F]F'(x_n)^{-1}F(x_n), \\ y_n & = x_n + \lambda_nF'(x_n)^{-1}F(x_n), \,n = 0,1,2,\dots,\end{aligned} \] (\(\mu_n, \lambda_n \in {\mathbb R}\) are given parameters, \([x_1,x_2;F] \in L(X,Y)\) is a divided difference, \([x_1,x_2;F](x -
Argyros, I. K. +3 more
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Circuit simulation using waveform relaxation‐newton method
Electronics and Communications in Japan (Part III: Fundamental Electronic Science), 1990AbstractThe following high‐speed technique is introduced into the waveform relaxation‐Newton (WRN) method: (1) the relaxation process starts from the predicted waveform; (2) the latent property in the time and the relaxation domain is utilized; and (3) iterative step width refinement, plus the window width adjustment to minimize the computation are ...
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