Results 21 to 30 of about 147 (51)
Explicit error bound for modified numerical iterated integration by means of Sinc methods
, 2015 This paper reinforces numerical iterated integration developed by Muhammad--Mori in the following two points: 1) the approximation formula is modified so that it can achieve a better convergence rate in more general cases, and 2) explicit error bound is ...
Okayama, Tomoaki
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Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions [PDF]
, 2017 A new local convergence analysis of the Gauss-Newton method for solving some optimization problems is presented using restricted convergence domains. The results extend the applicability of the Gauss-Newton method under the same computational cost given ...
ARGYROS , Ioannis K., GEORGE, Santhosh
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A weakly convergent fully inexact Douglas-Rachford method with relative error tolerance
, 2018 Douglas-Rachford method is a splitting algorithm for finding a zero of the sum of two maximal monotone operators. Each of its iterations requires the sequential solution of two proximal subproblems.
Svaiter, Benar F.
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, 2020 We present a criterion for uniform in time convergence of the weak error of the Euler scheme for Stochastic Differential equations (SDEs). The criterion requires i) exponential decay in time of the space-derivatives of the semigroup associated with the ...
Crisan, D., Dobson, P., Ottobre, M.
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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering
Nonlinear EngineeringThis study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan +3 more
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Steffensen Methods for Solving Generalized Equations [PDF]
, 2008 2000 Mathematics Subject Classification: 65G99, 65K10, 47H04.We provide a local convergence analysis for Steffensen's method in order to solve a generalized equation in a Banach space setting. Using well known fixed point theorems for set-valued maps [13]
Argyros, Ioannis K., Hilout, Saïd
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Adaptive quadrature by expansion for layer potential evaluation in two dimensions
, 2018 When solving partial differential equations using boundary integral equation methods, accurate evaluation of singular and nearly singular integrals in layer potentials is crucial.
Klinteberg, Ludvig af +1 more
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New sufficient convergence conditions for the secant method [PDF]
, 2005 summary:We provide new sufficient conditions for the convergence of the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Argyros, Ioannis K.
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Error structures and parameter estimation [PDF]
, 2006 This article proposes a link between statistics and the theory of Dirichlet forms used to compute errors. The error calculus based on Dirichlet forms is an extension of classical Gauss' approach to error propagation.
Bouleau, Nicolas, Chorro, Christophe
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Matrices having a positive determinant and all other minors nonpositive
Special MatricesThe class of square matrices of order nn having a positive determinant and all their minors up to order n−1n-1 nonpositive is considered. A characterization of these matrices based on the Cauchon algorithm is presented, which provides an easy test for ...
Hassuneh Imad +2 more
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