Results 21 to 30 of about 9,925,195 (289)
Convergence Rate for the Ordered Upwind Method [PDF]
Journal of Scientific Computing, 2016 The Ordered Upwind Method (OUM) is used to approximate the viscosity solution of the static Hamilton-Jacobi-Bellman (HJB) with direction-dependent weights on unstructured meshes. The method has been previously shown to provide a solution that converges to the exact solution, but no convergence rate has been theoretically proven.
Alex Shum +2 more
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Numerical solution of a system of Volterra integral equations in application to the avian human influenza epidemic model [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 We propose an effcient multistage method for solving a system of linear and nonlinear Volterra integral equations of the second kind. This numerical method is based on the Gauss–Legendre quadrature rule that obtains several values of unknown function at ...
R. Katani
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On the convergence of second-order spectra and multiplicity [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010 The notion of second-order relative spectrum of a self-adjoint operator acting on a Hilbert space has been studied recently in connection with the phenomenon of spectral pollution in the Galerkin method. In this paper we examine how the second-order spectrum encodes precise information about the multiplicity of the isolated eigenvalues of the ...
Boulton, L., Strauss, M.
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Simple and efficient fifth order solvers for systems of nonlinear problems
Mathematical Modelling and Analysis, 2023 In this study, two multi-step iterative techniques of fifth order convergence are explored to solve nonlinear equations. The techniques are designed with the prime objective of keeping the computational cost as low as possible.
Harmandeep Singh, Janak Raj Sharma
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Local convergence of a fifth convergence order method in Banach space
Arab Journal of Mathematical Sciences, 2017 We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
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Mathematics, 2020 In this paper, we have considered a numerical difference approximation for solving two-dimensional Riesz space fractional convection-diffusion problem with source term over a finite domain. The convection and diffusion equation can depend on both spatial
Eyaya Fekadie Anley, Zhoushun Zheng
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Mathematics, 2022 Numerous three-step methods of high convergence order have been developed to produce sequences approximating solutions of equations usually defined on the Euclidean space with a finite dimension.
Ramandeep Behl +3 more
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Convergence of a second order Markov chain [PDF]
Applied Mathematics and Computation, 2014 16 pages, 3 ...
Sheng-Long Hu, Liqun Qi 0001
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On (Δm,I)-Statistical Convergence of Order α
The Scientific World Journal, 2014 The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro ...
Mikail Et +2 more
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Mathematics, 2020 The main focus of this study was to develop a numerical scheme with new expressions for interface flux approximations based on the upwind approach in the finite volume method.
Arafat Hussain +2 more
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