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
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
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
Hybrid Hu-Storey type methods for large-scale nonlinear monotone systems and signal recovery
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-024-03187-1
Abstract: We propose two hybrid methods for solving large-scale monotone systems, which are based on derivative-free conjugate gradient approach and hyperplane projection technique. The conjugate gradient approach is efficient for large-scale systems due to low memory,… read more here.
Keywords: monotone; storey type; large scale; hybrid storey ... See more keywords
On the Convergence Order of Jarratt-Type Methods for Nonlinear Equations
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DOI: 10.3390/axioms14060401
Abstract: The order of convergence for Jarratt-type methods in solving nonlinear equations is determined without relying on Taylor expansion. Unlike previous studies, we depend solely on assumptions about the derivatives of the involved operator up to… read more here.
Keywords: jarratt type; convergence; nonlinear equations; order ... See more keywords
One-Rank Linear Transformations and Fejer-Type Methods: An Overview
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DOI: 10.3390/math12101527
Abstract: Subgradient methods are frequently used for optimization problems. However, subgradient techniques are characterized by slow convergence for minimizing ravine convex functions. To accelerate subgradient methods, special linear non-orthogonal transformations of the original space are used.… read more here.
Keywords: rank linear; one rank; space; linear transformations ... See more keywords
Hybrid Chebyshev-Type Methods for Solving Nonlinear Equations
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DOI: 10.3390/math13010074
Abstract: Chebyshev-type methods have replaced the Chebyshev method in practice for solving nonlinear equations in abstract spaces. These methods are of the same R-order of three. However, they are easier to deal with, since the computationally… read more here.
Keywords: chebyshev type; solving nonlinear; hybrid chebyshev; methods solving ... 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