Results 81 to 90 of about 2,172 (231)
Picard Iteration Converges faster than Noor Iteration for a Class of Quasi-Contractive Operators
, 2012 The purpose of this paper is to introduce that Noor (three-step) iteration converges strongly to fixed point in the class of quasi-contractive operators satisfying Zamfirescu's conditions and to show that the Picard iteration converges faster than the ...
AKBULUT, Sezgin, ÖZDEMİR, Murat
core
New iteration process for a general class of contractive mappings
, 2016 Let K be a closed convex subset of X, and let T : K → K be a self-mapping with the set FT of fixed points such that ‖Tx − ρ‖ ≤ δ‖x − ρ‖ for all x ∈ K, ρ ∈ FT and some δ ∈ (0, 1).
Mogbademu, Adesanmi Alao
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Implicit Error Bounds for Picard Iterations on Hilbert Spaces
Vietnam Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Russell Luke +2 more
openaire +2 more sources
New Phytologist, EarlyView.Population genetic structure in the Pacific Northwest for (a–c) Nereocystis and (d–f) Macrocystis. Summary Pockets of the formerly glaciated Pacific coastline of North America likely remained ice‐free throughout the Last Glacial Maximum (LGM). These areas may have served as refugia for terrestrial species, but less is known about their role in the ...
Jordan B. Bemmels +7 more
wiley +1 more source
Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
Fixed Point Theory and Applications, 2004 In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed point iterative methods, that is, the Picard, Mann, and Ishikawa iterations, are all known to be convergent to the unique fixed point.
Vasile Berinde
doaj +2 more sources
, 2016 This paper compares the variational iteration method (VIM), the Adomian decomposition method (ADM) and the Picard iteration method (PIM) for solving a system of first order nonlinear ordinary differential equations (ODEs).
Satya N. Atluri, Xuechuan Wang
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Journal of Numerical Analysis and Approximation Theory, 2004 In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
Ştefan M. Şoltuz
doaj +2 more sources
Solving stiff problems using generalized picard iteration
, 2009 The main point of the talk is an alternative approach to the construction of numerical methods for stiff problems. It can be interpreted as a generalization of fixed-point iterations for implementation of implicit collocation methods.
Mandrik, P. A. +3 more
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Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation
, 2020 This paper discusses accelerating iterative methods for solving the fully implicit (FI) scheme of equilibrium radiation diffusion problem. Together with the FI Picard factorization (PF) iteration method, three new nonlinear iterative methods, namely, the
Xia Cui, Yanmei Zhang, Guangwei Yuan
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