Results 41 to 50 of about 66,795 (159)
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
, 2018 High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic PDEs.
Chan, Jesse
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A fast high-order method to calculate wakefield forces in an electron beam
, 2012 In this paper we report on a high-order fast method to numerically calculate wakefield forces in an electron beam given a wake function model. This method is based on a Newton-Cotes quadrature rule for integral approximation and an FFT method for ...
Borland +11 more
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, 2018 We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials in two and three spatial dimensions. The method relies on the use of Green'
Faria, Luiz M. +2 more
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Double inequalities of Newton's quadrature rule
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper double inequalities of Newton's quadrature rule are given.
Marius Heljiu
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International Journal of Mathematics and Mathematical Sciences, 2012 A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the ...
L. Jones Tarcius Doss, A. P. Nandini
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Computing Discrepancies of Smolyak Quadrature Rules
Journal of Complexity, 1996 The construction, with the tensor product technique, of the higher dimensional quadrature formulas has been developed, among others, by \textit{S. A. Smolyak} [Dokl. Acad. Nauk SSSR 148, 1042-1045 (1963; Zbl 0202.39901)]. Such a formula is obtained recursively from a sequence of 1-dimensional quadrature rules, for continuous functions in \( C([0, 1]). \
Frank, Karin, Heinrich, Stefan
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The Influence of Quadrature Errors on Isogeometric Mortar Methods
, 2015 Mortar methods have recently been shown to be well suited for isogeometric analysis. We review the recent mathematical analysis and then investigate the variational crime introduced by quadrature formulas for the coupling integrals.
A. Apostolatos +19 more
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Results in Applied MathematicsThis work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
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MATRICES AND QUADRATURE RULES FOR WAVELETS
Taiwanese Journal of Mathematics, 1998 The authors study matrices (in particular their spectral norm) arising in the (exact) computation of integrals \[ \int x^m\varphi(x- k)dx,\quad \int x^m\varphi(x) \varphi(x- k)dx\qquad (0\leq m\leq p-1), \] where \(\varphi\) denotes the Daubechies' scaling function which integer translates reproduce polynomials of degree \(\leq p-1\) on finite ...
Shann, W. C., Yen, C. C.
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Journal of Applied MathematicsThis work investigates the concept of numerically approximating fractional differential equations (FDEs) by using function average in an interval. First, the equivalent integral equation is obtained.
Chinedu Nwaigwe, Abdon Atangana
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