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1.On the Petras algorithm for verified integration of piecewise analytic functions

作者：Małgorzata Moczurad ^{malgorzata.moczurad@ii.uj.edu.pl} ; Piotr Zgliczyński ; ^{piotr.zgliczynski@ii.uj.edu.pl}

关键词：Verified integration ; Cost of integration algorithm

刊名：Journal of Complexity

出版年：2017

2.Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions

作者：Kosuke Suzuki ; ^{kosuke-suzuki@hiroshima-u.ac.jp}

关键词：Numerical integration ; Tractability ; Super-polynomial convergence ; Quasi-Monte Carlo ; Walsh spaces ; Digital nets

刊名：Journal of Complexity

出版年：2017

3.Does energy and CO₂ emissions performance of China benefit from regional integration?

作者：Jianglong Li^a ; ¹ ; ^{lijianglong2014@sina.com} ; Boqiang Lin^b ; ^{bqlin@xmu.edu.cn} ; ^{bqlin2004@vip.sina.com}

关键词：Regional integration ; Energy and CO2 emissions performance ; Non-radial directional distance function ; Price approach ; International openness substitution

刊名：Energy Policy

出版年：2017

4.Product rules are optimal for numerical integration in classical smoothness spaces

作者：Aicke Hinrichs^a ; ^{aicke.hinrichs@jku.at} ; Erich Novak^b ; ^{erich.novak@uni-jena.de} ; Mario Ullrich^a ; ^{mario.ullrich@jku.at} ; Henryk Woźniakowski^c ; ^d ; ^{henryk@cs.columbia.edu}

关键词：Product rules ; Optimal error bounds ; Integration ; Optimization

刊名：Journal of Complexity

出版年：2017

5.Robust circularly orthogonal moment based on Chebyshev rational function

作者：Fangxia GuoAuthor Vitae ; Shuang YeAuthor Vitae ; Tengfei YangAuthor Vitae ; Xuan Wang ; ^{wxuan@snnu.edu.cn}Author Vitae

关键词：Circularly orthogonal moment ; Chebyshev rational function ; Geometric error ; Numerical integration error ; Image pattern classification

刊名：Digital Signal Processing

出版年：2017

6.On the auto Igusa-zeta function of an algebraic curve

作者：Andrew R. Stout ^{astout@bmcc.cuny.edu" class="auth_mail" title="E-mail the corresponding author}

关键词：Computational algebraic geometry ; Jet schemes ; Hilbert schemes ; Igusa-zeta functions ; Motivic integration ; Formal schemes ; Grothendieck topologies ; Sieves

刊名：Journal of Symbolic Computation

出版年：2017

7.B-spline operational matrix of fractional integration

作者：Tahereh Ismaeelpour^a ; Ataollah Askari Hemmat^b ; ; Habibollah Saeedi^b

关键词：B-spline ; Wavelet ; Fractional integro-differential equation ; Partial differential equation ; Operational matrix of integration

刊名：Optik - International Journal for Light and Electron Optics

出版年：2017

8.A note on the use of the Companion Solution (Dirichlet Green's function) on meshless boundary element methods

作者：H. Power^a ; ^{henry.power@nottingham.ac.uk} ; N. Caruso^b ; ^c ; M. Portapila^b ; ^c

关键词：DRM ; Companion Solution ; Green's function

刊名：Engineering Analysis with Boundary Elements

出版年：2017

9.A novel variant of a product integration method and its relation to discrete fractional calculus

作者：S. McKee^a ; ^{s.mckee@strath.ac.uk} ; Jose A. Cuminato^b ; ^{jacuminato@gmail.com}

关键词：Numerical integration ; Singular integrand ; Abel equation ; Discrete fractional calculus

刊名：Applied Numerical Mathematics

出版年：2017

10.A fast immersed boundary method for external incompressible viscous flows using lattice Green's functions

作者：Sebastian Liska ; ^{sliska@caltech.edu} ; Tim Colonius ^{colonius@caltech.edu}

关键词：Immersed boundary method ; Incompressible viscous flow ; Unbounded domain ; Lattice Green's function ; Projection method ; Difference equations

刊名：Journal of Computational Physics

出版年：2017

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