scholarly journals On the local convergence of higher order methods in Banach spaces

2021 ◽  
Vol 22 (2) ◽  
pp. 855-870
Author(s):  
Debasis Sharma ◽  
◽  
Sanjaya Kumar Parhi ◽  
Keyword(s):  
Banach Spaces ◽  
Local Convergence ◽  
Higher Order ◽  
Higher Order Methods

scholarly journals Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 804
Author(s):  
Ioannis K. Argyros ◽  
Neha Gupta ◽  
J. P. Jaiswal
Keyword(s):  
Approximate Solution ◽  
Convergence Analysis ◽  
Banach Spaces ◽  
Recurrence Relation ◽  
Convergence Theorem ◽  
Local Convergence ◽  
Existence And Uniqueness ◽  
Numerical Illustration ◽  
Type Method ◽  
Local Convergence Analysis

The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions. The pertinency of the assumed method is extended for nonlinear non-differentiable operators. The convergence theorem is also established to show the existence and uniqueness of the approximate solution. A numerical illustration is quoted to certify the theoretical part which shows that earlier studies fail if the function is non-differentiable.

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 Arbitrarily distortable Banach spaces of higher order

2016 ◽  
Vol 214 (2) ◽  
pp. 553-581 ◽  
Author(s):  
Kevin Beanland ◽  
Ryan Causey ◽  
Pavlos Motakis
Keyword(s):  
Banach Spaces ◽  
Higher Order
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