Galerkin Type Methods for Semilinear Time-Fractional Diffusion Problems
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DOI: 10.1007/s10915-020-01230-z
Abstract: We derive optimal $$L^2$$ L 2 -error estimates for semilinear time-fractional subdiffusion problems involving Caputo derivatives in time of order $$\alpha \in (0,1)$$ α ∈ ( 0 , 1 ) , for cases with smooth… read more here.
Keywords: time; methods semilinear; galerkin type; time fractional ... See more keywords
Hybrid Numerov-Type Methods with Coefficients Trained to Perform Better on Classical Orbits
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00775-z
Abstract: AbstractThis manuscript constructed a class of explicit hybrid Numerov methods of sixth order for second-order ordinary differential equations. The methods have four stages at each step with coefficients expressed explicitly with respect to a couple… read more here.
Keywords: coefficients trained; trained perform; methods coefficients; numerov type ... See more keywords
About Proximal-Type Methods for a Class of Nonmonotone Operators
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DOI: 10.1007/s41980-019-00244-0
Abstract: Inspired by [ 4 ], we propose a novel framework to investigate variational inclusions relying on the $$\theta $$ θ -methods. First, we define the $$\theta $$ θ -resolvent and the $$\theta $$ θ -Yosida… read more here.
Keywords: proximal type; class nonmonotone; nonmonotone operators; type methods ... See more keywords
Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values
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DOI: 10.1016/j.apnum.2019.03.011
Abstract: Abstract In this paper, we study the convergence of the Newton-type methods for solving the square inverse singular value problem with possible multiple and zero singular values. Comparing with other known results, positivity assumption of… read more here.
Keywords: newton type; square inverse; inverse singular; convergence newton ... See more keywords
An Algorithm Derivative-Free to Improve the Steffensen-Type Methods
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DOI: 10.3390/sym14010004
Abstract: Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use… read more here.
Keywords: steffensen type; type methods; accessibility; derivative free ... See more keywords
Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach
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DOI: 10.3390/sym15010015
Abstract: A plethora of quantum physics problems are related to symmetry principles. Moreover, by using symmetry theory and mathematical modeling, these problems reduce to solving iteratively finite differences and systems of nonlinear equations. In particular, Newton-type… read more here.
Keywords: banach spaces; convergence; newton type; type methods ... See more keywords