On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity [PDF]
, 2012 We study the optimal general rate of convergence of the n-point quadrature rules of Gauss and Clenshaw-Curtis when applied to functions of limited regularity: if the Chebyshev coefficients decay at a rate O(n^{-s-1}) for some s > 0, Clenshaw-Curtis and ...
Bornemann, Folkmar, Xiang, Shuhuang
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Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity [PDF]
, 2019 Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG approximations and devise the ...
Giacomini, Matteo +1 more
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On the improved convergence of lifted distributional Gauss curvature from Regge elements
Results in Applied MathematicsAlthough Regge finite element functions are not continuous, useful generalizations of nonlinear derivatives like the curvature, can be defined using them.
Jay Gopalakrishnan +3 more
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A chemical-reaction-optimization-based neuro-fuzzy hybrid network for stock closing price prediction
Financial Innovation, 2019 Accurate prediction of stock market behavior is a challenging issue for financial forecasting. Artificial neural networks, such as multilayer perceptron have been established as better approximation and classification models for this domain.
Sarat Chandra Nayak, Bijan Bihari Misra
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Cooperation driven by mutations in multi-person Prisoner's Dilemma
, 2004 The n-person Prisoner's Dilemma is a widely used model for populations where individuals interact in groups. The evolutionary stability of populations has been analysed in the literature for the case where mutations in the population may be considered as
Adachi +28 more
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Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations [PDF]
, 1993 A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented.
Maday, Yvon +3 more
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On the suboptimality of the p-version interior penalty discontinuous Galerkin method [PDF]
, 2009 We address the question of the rates of convergence of the p-version interior penalty discontinuous Galerkin method (p-IPDG) for second order elliptic problems with non-homogeneous Dirichlet boundary conditions.
Georgoulis, Emmanuil H. +2 more
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Convergence of restarted Krylov subspaces to invariant subspaces [PDF]
, 2001 The performance of Krylov subspace eigenvalue algorithms for large matrices can be measured by the angle between a desired invariant subspace and the Krylov subspace.
Beattie, Christopher +2 more
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Newtonian Property of Subgradient Method with Optimization of Metric Matrix Parameter Correction
MathematicsThe work proves that under conditions of instability of the second derivatives of the function in the minimization region, the estimate of the convergence rate of Newton’s method is determined by the parameters of the irreducible part of the ...
Elena Tovbis +2 more
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HDG methods for the unilateral contact problem
Journal of Inequalities and ApplicationsThis article presents the HDG approximation as a solution to the unilateral contact problem, leveraging the regularization method and an iterative procedure for resolution. In our study, u represents the potential (displacement of the elastic body) and q
Mingyang Zhao, Liangjin Zhou
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