Results 1 to 10 of about 1,963 (90)
Approximate solution of Urysohn integral equations using the Adomian decomposition method. [PDF]
ScientificWorldJournal, 2014 We apply Adomian decomposition method (ADM) for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately. The approximations of the solution are obtained in the form of series with easily calculable components. Furthermore, we also discuss the convergence and
Singh R, Nelakanti G, Kumar J, Kumar J.
europepmc +2 more sources
A survey of Optimal Transport for Computer Graphics and Computer Vision
Computer Graphics Forum, Volume 42, Issue 2, Page 439-460, May 2023., 2023 Abstract Optimal transport is a long‐standing theory that has been studied in depth from both theoretical and numerical point of views. Starting from the 50s this theory has also found a lot of applications in operational research. Over the last 30 years it has spread to computer vision and computer graphics and is now becoming hard to ignore.
Nicolas Bonneel, Julie Digne
wiley +1 more source
A fast robust numerical continuation solver to a two‐dimensional spectral estimation problem
IET Control Theory &Applications, Volume 16, Issue 9, Page 902-915, 11 June 2022., 2022 Abstract This paper presents a fast algorithm to solve a spectral estimation problem for two‐dimensional random fields. The latter is formulated as a convex optimization problem with the Itakura‐Saito pseudodistance as the objective function subject to the constraints of moment equations.
Bin Zhu, Jiahao Liu
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 Let X and Y be Banach spaces and Ω⊆X. Let f:Ω⟶Y be a single valued function which is nonsmooth. Suppose that F:X⇉2Y is a set‐valued mapping which has closed graph. In the present paper, we study the extended Newton‐type method for solving the nonsmooth generalized equation 0 ∈ f(x) + F(x) and analyze its semilocal and local convergence under the ...
M. Z. Khaton +2 more
wiley +1 more source
IET Power Electronics, Volume 14, Issue 13, Page 2179-2193, 14 October 2021., 2021 Abstract Permanent magnet machines have been used in the high‐speed drive applications due to their high‐efficiency, high‐power‐density, and wide‐speed range characteristics. However, control of such high‐speed permanent magnet machines machine is always challenging and proper flux‐weakening controller design is essential to achieve high performance of
Xiaoyu Lang +5 more
wiley +1 more source
Spatially Inhomogeneous Evolutionary Games
Communications on Pure and Applied Mathematics, Volume 74, Issue 7, Page 1353-1402, July 2021., 2021 Abstract We introduce and study a mean‐field model for a system of spatially distributed players interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve by a replicator dynamics influenced by the position and the interaction between different players and return a feedback on the velocity field guiding their motion ...
Luigi Ambrosio +3 more
wiley +1 more source
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
Communications on Pure and Applied Mathematics, Volume 74, Issue 5, Page 1045-1099, May 2021., 2021 Abstract For M a simple surface, the nonlinear statistical inverse problem of recovering a matrix field from discrete, noisy measurements of the SO(n)‐valued scattering data CΦ of a solution of a matrix ODE is considered (n ≥ 2). Injectivity of the map Φ ↦ CΦ was established by Paternain, Salo, and Uhlmann in 2012.
François Monard +2 more
wiley +1 more source
The convergence theorem for fourth-order super-Halley method in weaker conditions
Journal of Inequalities and Applications, 2016 In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
doaj +1 more source
Notions of optimal transport theory and how to implement them on a computer [PDF]
, 2017 This article gives an introduction to optimal transport, a mathematical theory that makes it possible to measure distances between functions (or distances between more general objects), to interpolate between objects or to enforce mass/volume ...
Levy, Bruno, Schwindt, Erica
core +4 more sources
A numerical algorithm for $L_2$ semi-discrete optimal transport in 3D [PDF]
, 2014 This paper introduces a numerical algorithm to compute the $L_2$ optimal transport map between two measures $\mu$ and $\nu$, where $\mu$ derives from a density $\rho$ defined as a piecewise linear function (supported by a tetrahedral mesh), and where ...
Levy, Bruno
core +6 more sources