Selective projection methods for solving a class of variational inequalities
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0499-x
Abstract: Very recently, Gibali et al. (Optimization 66, 417–437 2017) proposed a method, called selective projection method (SPM) in this paper, for solving the variational inequality problem (VIP) defined on C:=⋂i=1mCi≠∅$C:=\bigcap _{i = 1}^{m} C^{i}\neq \emptyset… read more here.
Keywords: projection methods; projection; solving class; space ... See more keywords
Review of some iterative methods for solving nonlinear equations with multiple zeros
Sign Up to like & getrecommendations! Published in 2019 at "Afrika Matematika"
DOI: 10.1007/s13370-018-00650-3
Abstract: In this paper, some iterative methods with third order convergence for solving the nonlinear equation were reviewed and analyzed. The purpose is to find the best iteration schemes that have been formulated thus far. Hence,… read more here.
Keywords: iterative methods; equations multiple; review iterative; methods solving ... See more keywords
Diagonal implicit symplectic extended RKN methods for solving oscillatory Hamiltonian systems
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0786-8
Abstract: This paper studies diagonal implicit symplectic extended Runge–Kutta–Nyström (ERKN) methods for solving the oscillatory Hamiltonian system $$H(q,p)=\dfrac{1}{2}p^\mathrm{T}p+\dfrac{1}{2}q^\mathrm{T}Mq+U(q)$$H(q,p)=12pTp+12qTMq+U(q). Based on symplecticity conditions and order conditions, we construct some diagonal implicit symplectic ERKN methods. The stability of… read more here.
Keywords: methods solving; implicit symplectic; diagonal implicit; solving oscillatory ... See more keywords
A review of methods for solving the optical molecular tomography
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Applied Physics"
DOI: 10.1063/5.0138347
Abstract: As a high-sensitivity and non-invasive technique, optical molecular tomography (OMT) can locate and visualize tissue quantitatively in three dimensions by collecting surface photons generated from luminescent biomarkers. It has great potential for tumor detection, surgery… read more here.
Keywords: review methods; methods solving; optical molecular; solving optical ... See more keywords
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2022.2033236
Abstract: This paper discusses two efficient collocation methods for solving the Hammerstein integral equations on the semi-infinite domain, where the underlying solutions decay to zero at infinity. These methods are based upon modified Legendre rational and… read more here.
Keywords: semi infinite; methods solving; collocation methods; hammerstein integral ... See more keywords
ANN-based methods for solving partial differential equations: a survey
Sign Up to like & getrecommendations! Published in 2022 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2022.2104224
Abstract: Abstract Traditionally, partial differential equation (PDE) problems are solved numerically through a discretization process. Iterative methods are then used to determine the algebraic system generated by this process. Recently, scientists have emerged artificial neural networks… read more here.
Keywords: ann based; methods solving; partial differential; based methods ... See more keywords
Direct and Converse Theorems for Iterative Methods of Solving Irregular Operator Equations and Finite Difference Methods for Solving Ill-Posed Cauchy Problems
Sign Up to like & getrecommendations! Published in 2020 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542520060020
Abstract: Results obtained in recent years concerning necessary and sufficient conditions for the convergence (at a given rate) of approximation methods for solutions of irregular operator equations are overviewed. The exposition is given in the context… read more here.
Keywords: posed cauchy; cauchy problems; ill posed; operator equations ... See more keywords
Extragradient subgradient methods for solving bilevel equilibrium problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1898-1
Abstract: In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain… read more here.
Keywords: equilibrium; bilevel equilibrium; subgradient methods; extragradient subgradient ... See more keywords
Construction of some accelerated methods for solving scalar stochastic differential equations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Computing"
DOI: 10.1504/ijcsm.2016.081680
Abstract: The purpose of this short communication is to contribute in constructing some new solvers for the strong solution of stochastic ordinary differential equations. It is derived that new methods could be obtained as new variants… read more here.
Keywords: construction accelerated; accelerated methods; differential equations; scalar stochastic ... See more keywords
Reviewing the development of geodynamics and geodesic methods for solving geodynamic tasks
Sign Up to like & getrecommendations! Published in 2020 at "Geodesy and Cartography"
DOI: 10.22389/0016-7126-2020-956-2-25-39
Abstract: Studying the Earth involves estimation of temporal changes of its shape and gravity field. Among the methods that can be used to solve this task, an important place is taken by the geodetic one. A… read more here.
Keywords: geodesic methods; geodynamics geodesic; reviewing development; development geodynamics ... See more keywords
The development of logging methods in solving hydrogeological problems at the Aleksandrovka research base
Sign Up to like & getrecommendations! Published in 2017 at "Moscow University Geology Bulletin"
DOI: 10.3103/s0145875217010094
Abstract: This paper presents the results of the development of a digital logging system and its implementation into everyday practice, at a well of Moscow State University. Complex data interpretation in relation to problems of hydrogeology… read more here.
Keywords: solving hydrogeological; logging methods; hydrogeological problems; development logging ... See more keywords