scholarly journals Higher Order Methods of the Basic Family of Iterations via S-Iteration Scheme with s-Convexity

2020 ◽  
Vol 17 (2) ◽  
Author(s):  
Krzysztof Gdawiec ◽  
Abdul Aziz Shahid ◽  
Waqas Nazeer
Keyword(s):  
Iteration Scheme ◽  
Higher Order ◽  
Higher Order Methods ◽  
Basic Family

A Comparison of Higher-Order Methods on a Set of Canonical Aerodynamics Applications

2011 ◽  
Author(s):  
Julie Andren ◽  
Haiyang Gao ◽  
Masayuki Yano ◽  
David Darmofal ◽  
Carl Ollivier Gooch ◽  
...  
Keyword(s):  
Higher Order ◽  
Higher Order Methods

scholarly journals Decay of solutions of the wave equation in expanding cosmological spacetimes

2019 ◽  
Vol 16 (01) ◽  
pp. 35-58
Author(s):  
João L. Costa ◽  
José Natário ◽  
Pedro F. C. Oliveira
Keyword(s):  
Wave Equation ◽  
Initial Data ◽  
Decay Rate ◽  
Time Derivative ◽  
Iteration Scheme ◽  
Higher Order ◽  
Accelerated Expansion ◽  
De Sitter ◽  
Decay Of Solutions ◽  
Partial Energy

We study the decay of solutions of the wave equation in some expanding cosmological spacetimes, namely flat Friedmann–Lemaître–Robertson–Walker (FLRW) models and the cosmological region of the Reissner–Nordström–de Sitter (RNdS) solution. By introducing a partial energy and using an iteration scheme, we find that, for initial data with finite higher order energies, the decay rate of the time derivative is faster than previously existing estimates. For models undergoing accelerated expansion, our decay rate appears to be (almost) sharp.

New higher-order methods for the simultaneous inclusion of polynomial zeros

2011 ◽  
Vol 58 (2) ◽  
pp. 179-201 ◽  
Author(s):  
Miodrag S. Petković ◽  
Mimica R. Milošević ◽  
Dušan M. Milošević
Keyword(s):  
Higher Order ◽  
Polynomial Zeros ◽  
Higher Order Methods
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