The brachistochrone problem revisited: a numerical solution via non-linear root-finding

2021 ◽  
pp. 1-11
Author(s):  
Jonathan Hoseana ◽  
Maria Regina Kusnadi ◽  
Ivander Jeremy ◽  
Felisha Felisha
Keyword(s):  
Numerical Solution ◽  
Root Finding ◽  
Brachistochrone Problem ◽  
Non Linear

A Non-linear and Noise-Tolerant ZNN Model and Its Application to Static and Time-Varying Matrix Square Root Finding

2018 ◽  
Vol 50 (2) ◽  
pp. 1687-1703
Author(s):  
Xiaoxiao Li ◽  
Jiguo Yu ◽  
Shuai Li ◽  
Zehui Shao ◽  
Lina Ni
Keyword(s):  
Time Varying ◽  
Square Root ◽  
Root Finding ◽  
Matrix Square Root ◽  
Non Linear ◽  
Noise Tolerant

Non-linear Convection at High Rayleigh Number

1970 ◽  
Vol 1 (8) ◽  
pp. 382-383 ◽  
Author(s):  
R. Van Der Borght
Keyword(s):  
Rayleigh Number ◽  
Numerical Solution ◽  
Asymptotic Method ◽  
Weak Coupling ◽  
Coupling Approximation ◽  
Non Linear ◽  
Weak Coupling Approximation ◽  
Basic Equations ◽  
Rayleigh Numbers ◽  
Steady Convection

The numerical solution of the basic equations for non-linear steady convection in the weak-coupling approximation is exceedingly difficult. In astronomical applications the Rayleigh number R will be of the order of1012, and we wish to report here some results obtained in the case of high Rayleigh numbers with the use of an asymptotic method.

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