Results 21 to 30 of about 884,568 (273)
, 2019 <p>This is the first stable version of the C implementation of the implicit quadrature rule. Notable features that are included are:</p> <ul> <li>Full support for data of any dimension</li> <li>Preservation of ...
Laurent van den Bos (7107197) +1 more
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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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Interpolatory Quadrature Rules for Oscillatory Integrals [PDF]
Journal of Scientific Computing, 2012 In this paper we revisit some quadrature methods for highly oscillatory integrals of the form $\int_{-1}^1f(x)e^{{\rm i}ωx}dx, ω>0$. Exponentially Fitted (EF) rules depend on frequency dependent nodes which start off at the Gauss-Legendre nodes when the frequency is zero and end up at the endpoints of the integral when the frequency tends to ...
Veerle Ledoux, Marnix Van Daele
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Quadrature rules for qualocation [PDF]
PAMM, 2003 AbstractQualocation is a method for the numerical treatment of boundary integral equations on smooth curves which was developed by Chandler, Sloan and Wendland (1988‐2000) [1,2]. They showed that the method needs symmetric J–point–quadrature rules on [0, 1] that are exact for a maximum number of 1–periodic functions$$ G _{\alpha} (x) \ggleich \sum ...
Michael Junges, Claus Schneider
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido, Guido Lombardi
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Journal of Mathematics, 2023 Laplace transform has been used for solving differential equations of fractional order either PDEs or ODEs. However, using the Laplace transform sometimes leads to solutions in Laplace space that are not readily invertible to the real domain by ...
null Kamran +4 more
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On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions [PDF]
, 2000 In this article we present a new approach to quadrature methods where any quadrature formula is generated by a discontinuous function whose jumps are quadrature weights.
Fedotov, I, Dragomir, Sever S
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Length Scales in Bayesian Automatic Adaptive Quadrature
EPJ Web of Conferences, 2016 Two conceptual developments in the Bayesian automatic adaptive quadrature approach to the numerical solution of one-dimensional Riemann integrals [Gh. Adam, S. Adam, Springer LNCS 7125, 1–16 (2012)] are reported.
Adam Gh., Adam S.
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A constraint on extensible quadrature rules [PDF]
Numerische Mathematik, 2015 When the worst case integration error in a family of functions decays as $n^{-α}$ for some $α>1$ and simple averages along an extensible sequence match that rate at a set of sample sizes ...
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A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
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