Results 61 to 70 of about 1,325 (220)
Collocation Solutions of a Weakly Singular Volterra Integral Equation
Trends in Computational and Applied Mathematics, 2007 The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
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Superconvergent Perturbation Method in Quantum Mechanics [PDF]
Physical Review Letters, 1995 An analogue of Kolmogorov's superconvergent perturbation theory in classical mechanics is constructed for self adjoint operators. It is different from the usual Rayleigh--Schrödinger perturbation theory and yields expansions for eigenvalues and eigenvectors in terms of functions of the perturbation parameter.
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A Superconvergent HDG Method for the Maxwell Equations [PDF]
Journal of Scientific Computing, 2016 This paper deals with two hybridizable discontinuous Galerkin methods, which are applied in the framework of steady state Maxwell equations. In the first part of this paper, the authors illustrate the well-posedness of both methods. Next, the adjoint problem is presented, and some basic a priori estimates are given.
Huangxin Chen +3 more
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Improved Numerical Robustness of the X‐FFT Solver via Internal Scaling
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.ABSTRACT The recently introduced X‐FFT solver improves the spatial accuracy of FFT‐based homogenization methods for two‐dimensional thermal homogenization problems without compromising their numerical efficiency. Through the use of an X‐FEM discretization, optimal error convergence rates of the discretization error are achieved, and the developed X‐FFT
Flavia Gehrig, Matti Schneider
wiley +1 more source
On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems
, 2006 We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. Numerical experiments confirm the superconvergence property and suggest that it holds also for the lowest order Brezzi-Douglas-Marini ...
GARDINI, FRANCESCA
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A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore +3 more
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Error Analysis of a Pressure‐Correction Method With Explicit Time‐Stepping
International Journal for Numerical Methods in Fluids, Volume 97, Issue 10, Page 1363-1378, October 2025.We study explicit variants of this well‐established pressure‐correction scheme for solving the Navier–Stokes equations. Step 3 is replaced by an explicit time‐integration method. We give the complete error analysis for this scheme that allows for highly efficient implementations.
Utku Kaya, Thomas Richter
wiley +1 more source
, 2009 The superconvergence phenomenon of the composite Simpson’s rule for the finite-part integral with a third-order singularity is studied. The superconvergence points are located and the superconvergence estimate is obtained.
Zhang, Xiaoping, Yu, Dehao, Wu, Jiming
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Superconvergence for multistep collocation [PDF]
Mathematics of Computation, 1989 One-step collocation methods are known to be a subclass of implicit Runge-Kutta methods. Further, one-leg methods are special multistep one-point collocation methods. In this paper we extend both of these collocation ideas to multistep collocation methods with k previous meshpoints and
Lie, Ivar, Nørsett, Syvert P.
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Superconvergence of new mixed finite element spaces
, 2011 In this paper we prove some superconvergence of a new family of mixed finite element spaces of higher order which we introduced in [ETNA, Vol. 37, pp. 189–201, 2010].
Kwak, Do Young +3 more
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