scholarly journals Hyperbolic Method for Dispersive PDEs: Same High-Order of Accuracy for Solution, Gradient, and Hessian

2016 ◽  
Author(s):  
Alireza R. Mazaheri ◽  
Mario Ricchiuto ◽  
Hiroaki Nishikawa
Keyword(s):  
High Order ◽  
Order Of Accuracy ◽  
High Order Of Accuracy ◽  
Hyperbolic Method ◽  
Solution Gradient

Numerical methods with a high order of accuracy applied in the quantum system

1996 ◽  
Vol 104 (6) ◽  
pp. 2275-2286 ◽  
Author(s):  
Wusheng Zhu ◽  
Xinsheng Zhao ◽  
Youqi Tang
Keyword(s):  
Numerical Methods ◽  
Quantum System ◽  
High Order ◽  
Order Of Accuracy ◽  
High Order Of Accuracy

A Jupiter Model of Pulsars

1968 ◽  
Vol 1 (4) ◽  
pp. 159-159 ◽  
Author(s):  
R. L. Dowden
Keyword(s):  
Solar System ◽  
Circular Polarization ◽  
High Order ◽  
Radio Sources ◽  
Order Of Accuracy ◽  
Pulsar Period ◽  
High Order Of Accuracy

A precedent to the recently-discovered pulsed radio sources or ‘pulsars’ exists in our own solar system. Jupiter could be thought of as a very slow ‘pulsar’ having a period of about 10 h or 35 000 s. Like pulsars, this emission period is known to a high order of accuracy (about 1 in 106). One difference is that Jupiter emission is received over an appreciable part of this period (1/4 to 1/2 or more) compared with about 1/30 of a typical pulsar period (about 40 ms in 1.3 s). Both pulsar and Jupiter bursts have a microstructure of the order of milliseconds, suggesting similar sizes of instantaneous emission regions. In both, the intensity observed varies from period to period. Emissions from both have relatively strong circular-polarization components at times.

scholarly journals Well-posedness of the difference schemes of the high order of accuracy for elliptic equations

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Pavel E. Sobolevskiĭ
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Continuous Functions ◽  
High Order ◽  
Difference Schemes ◽  
Well Posedness ◽  
Smooth Functions ◽  
Order Of Accuracy ◽  
High Order Of Accuracy ◽  
The Difference

It is well known the differential equation−u″(t)+Au(t)=f(t)(−∞<t<∞)in a general Banach spaceEwith the positive operatorAis ill-posed in the Banach spaceC(E)=C((−∞,∞),E)of the bounded continuous functionsϕ(t)defined on the whole real line with norm‖ϕ‖C(E)=sup⁡−∞<t<∞‖ϕ(t)‖E. In the present paper we consider the high order of accuracy two-step difference schemes generated by an exact difference scheme or by Taylor's decomposition on three points for the approximate solutions of this differential equation. The well-posedness of these difference schemes in the difference analogy of the smooth functions is obtained. The exact almost coercive inequality for solutions inC(τ,E)of these difference schemes is established.

scholarly journals High Order of Accuracy for Poisson Equation Obtained by Grouping of Repeated Richardson Extrapolation with Fourth Order Schemes

2021 ◽  
Vol 128 (2) ◽  
pp. 699-715
Author(s):  
Luciano Pereira da Silva ◽  
Bruno Benato Rutyna ◽  
Aline Roberta Santos Righi ◽  
Marcio Augusto Villela Pinto
Keyword(s):  
Poisson Equation ◽  
Fourth Order ◽  
Richardson Extrapolation ◽  
High Order ◽  
Order Of Accuracy ◽  
High Order Of Accuracy
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