An error analysis and the mesh independence principle for a nonlinear collocation problem

Rakhim Aitbayev

doi:10.1002/num.20152

An error analysis and the mesh independence principle for a nonlinear collocation problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20152 ◽

2006 ◽

Vol 22 (5) ◽

pp. 1216-1237

Author(s):

Rakhim Aitbayev

Keyword(s):

Error Analysis ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A mesh independence principle for perturbed Newton-like methods and their discretizations

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf03009933 ◽

2000 ◽

Vol 7 (1) ◽

pp. 139-159 ◽

Cited By ~ 2

Author(s):

Ioannis K. Argyros

Keyword(s):

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A Mesh-Independence Principle for Operator Equations and Their Discretizations

SIAM Journal on Numerical Analysis ◽

10.1137/0723011 ◽

1986 ◽

Vol 23 (1) ◽

pp. 160-169 ◽

Cited By ~ 97

Author(s):

E. L. Allgower ◽

K. Böhmer ◽

F. A. Potra ◽

W. C. Rheinboldt

Keyword(s):

Operator Equations ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A mesh-independence principle for operators equations and the Steffensen method

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf03014478 ◽

1997 ◽

Vol 4 (2) ◽

pp. 263-280

Author(s):

Ioannis K. Argyros

Keyword(s):

Independence Principle ◽

Mesh Independence ◽

Steffensen Method ◽

Mesh Independence Principle

Download Full-text

The Asymptotic Mesh Independence Principle

Intelligent Numerical Methods: Applications to Fractional Calculus - Studies in Computational Intelligence ◽

10.1007/978-3-319-26721-0_17 ◽

2015 ◽

pp. 283-296

Author(s):

George A. Anastassiou ◽

Ioannis K. Argyros

Keyword(s):

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

Application of the Mesh Independence Principle to Mesh Refinement Strategies

SIAM Journal on Numerical Analysis ◽

10.1137/0724086 ◽

1987 ◽

Vol 24 (6) ◽

pp. 1335-1351 ◽

Cited By ~ 32

Author(s):

E. L. Allgower ◽

K. Böhmer

Keyword(s):

Mesh Refinement ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A Multilevel Mesh Independence Principle for the Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0733002 ◽

1996 ◽

Vol 33 (1) ◽

pp. 17-30 ◽

Cited By ~ 70

Author(s):

W. Layton ◽

H. W. J. Lenferink

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

On a mesh-independence principle for operator equations and the secant method

Acta Mathematica Hungarica ◽

10.1007/bf00051753 ◽

1992 ◽

Vol 60 (1-2) ◽

pp. 7-19 ◽

Cited By ~ 6

Author(s):

I. K. Argyros

Keyword(s):

Secant Method ◽

Operator Equations ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A mesh independence principle for nonlinear equations using newton's method ano nonlinear projections.

Proyecciones (Antofagasta) ◽

10.22199/s07160917.1990.0016.00004 ◽

1990 ◽

Vol 8/9 (16) ◽

pp. 47-63

Author(s):

Ioannis K. Argyros

Keyword(s):

Nonlinear Equations ◽

Newton’S Method ◽

Newton's Method ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions

Computing ◽

10.1007/bf02250637 ◽

1990 ◽

Vol 45 (3) ◽

pp. 265-268 ◽

Cited By ~ 11

Author(s):

I. K. Argyros

Keyword(s):

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text

A refined Newton’s mesh independence principle for a class of optimal shape design problems

Central European Journal of Mathematics ◽

10.2478/s11533-006-0027-4 ◽

2006 ◽

Vol 4 (4) ◽

pp. 562-572

Author(s):

Ioannis K. Argyros

Keyword(s):

Optimal Shape ◽

Shape Design ◽

Optimal Shape Design ◽

Design Problems ◽

Independence Principle ◽

Mesh Independence ◽

Mesh Independence Principle

Download Full-text