kandi.bib

%% This BibTeX bibliography file was created using BibDesk.
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%% Created for Ville Väänänen at 2010-02-16 08:14:56 +0200 


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@article{Cools1997,
	author = {Cools, Ronald},
	doi = {10.1017/S0962492900002701},
	file = {:Users/dennari/Documents/School/Articles/Cools - 1997 - Constructing cubature formulae the science behind the art.pdf:pdf},
	issn = {0962-4929},
	journal = {Acta Numerica},
	month = {11},
	pages = {1},
	title = {{Constructing cubature formulae: the science behind the art}},
	volume = {6},
	year = {1997}
}

@book{Gautschi1997,
	abstract = {'The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively},
	author = {Gautschi, Walter},
	isbn = {0817638954, 9780817638955},
	pages = {506},
	publisher = {Springer},
	title = {{Numerical analysis: an introduction}},
	year = {1997}
}


@book{Davis1975,
	Author = {Davis, Philip J. and Rabinowitz, Philip},
	Isbn = {0122063503, 9780122063503},
	Pages = {459},
	Publisher = {Academic Press},
	Title = {{Methods of numerical integration}},
	Year = {1975},
	Bdsk-Url-1 = {http://books.google.com/books?id=rPtQAAAAMAAJ%5C&pgis=1}}

@book{Krylov1962,
	Author = {Krylov, Vladimir Ivanovich},
	Pages = {357},
	Publisher = {Macmillan},
	Title = {{Approximate calculation of integrals}},
	Year = {1962},
	Bdsk-Url-1 = {http://books.google.com/books?id=iAFRAAAAMAAJ%5C&pgis=1}}

@book{Stroud1971,
	Author = {Stroud, A. H.},
	Pages = {431},
	Publisher = {Prentice-Hall},
	Title = {{Approximate calculation of multiple integrals}},
	Year = {1971},
	Bdsk-Url-1 = {http://books.google.com/books?id=KQmoAAAAIAAJ%5C&pgis=1}}

@book{Ueberhuber1997,
	Abstract = {This book is the second part of a modern, two-volume introduction to numerical computation, which strongly emphasizes software aspects. It can serve as a textbook for courses on numerical analysis, particularly for engineers. The book can also be used as a reference book and it includes an extensive bibliography. The author is a well-known specialist in numerical analysis who was involved in the creation of the software package QUADPACK.},
	Author = {Ueberhuber, Christoph W.},
	Date-Modified = {2010-02-16 08:10:52 +0200},
	Isbn = {3540620575, 9783540620570},
	Pages = {496},
	Publisher = {Springer},
	Title = {{Numerical computation: methods, software, and analysis, Volume 2}},
	Year = {1997},
	Bdsk-Url-1 = {http://books.google.com/books?id=tQq0QgAACAAJ%5C&pgis=1}}

@book{Cheney2007,
	Abstract = {Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.},
	Author = {Cheney, Ward and Kincaid, David},
	Date-Modified = {2010-02-16 08:10:21 +0200},
	Edition = {6},
	Isbn = {0495114758, 9780495114758},
	Pages = {763},
	Publisher = {Cengage Learning},
	Title = {{Numerical mathematics and computing}},
	Year = {2007},
	Bdsk-Url-1 = {http://books.google.com/books?id=ZUfVZELlrMEC%5C&pgis=1}}

@article{Cools2009,
	Author = {Cools, R. and Huybrechs, D. and Nuyens, D.},
	Doi = {10.1002/qua},
	File = {:Users/dennari/Documents/Cools, Huybrechs, Nuyens - 2009 - Recent topics in numerical integration.pdf:pdf},
	Journal = {International Journal of Quantum Chemistry},
	Keywords = {cubature,multivariate integrals,oscillatory integral,quadrature,quasi-monte carlo},
	Number = {8},
	Pages = {1748--1755},
	Publisher = {Wiley Subscription Services, Inc., A Wiley Company Hoboken},
	Title = {{Recent topics in numerical integration}},
	Volume = {109},
	Year = {2009},
	Bdsk-Url-1 = {http://www3.interscience.wiley.com/journal/122255917/abstract},
	Bdsk-Url-2 = {http://dx.doi.org/10.1002/qua}}


@article{Cools2001,
	Author = {Cools, R. and Mysovskikh, I. P. and Schmid, H. J.},
	Date-Modified = {2010-02-16 08:13:18 +0200},
	Doi = {10.1016/S0377-0427(00)00495-7},
	File = {:Users/dennari/Documents/Cools, Mysovskikh, Schmid - 2001 - Cubature formulae and orthogonal polynomials.pdf:pdf},
	Issn = {03770427},
	Journal = {Journal of Computational and Applied Mathematics},
	Keywords = {cubature,multivariate integrals,orthogonal polynomials},
	Number = {1-2},
	Pages = {121--152},
	Title = {{Cubature formulae and orthogonal polynomials}},
	Volume = {127},
	Year = {2001},
	Bdsk-Url-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0377042700004957},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/S0377-0427(00)00495-7}}

@article{Cools2006,
	Author = {Cools, R.},
	Date-Modified = {2010-02-16 08:14:20 +0200},
	File = {:Users/dennari/Documents/Cools - 2006 - The state of the art of constructing cubature formulas for multi-variate integrals.pdf:pdf},
	Journal = {FEMTEC 2006},
	Pages = {4},
	Title = {{The state of the art of constructing cubature formulas for multi-variate integrals}},
	Url = {http://hpfem.org/talks/06/maf06\_cools.pdf},
	Year = {2006}}

@article{Cools2002,
	Author = {Cools, R.},
	Date-Modified = {2010-02-16 08:13:48 +0200},
	Doi = {10.1016/S0377-0427(02)00517-4},
	File = {:Users/dennari/Documents/Cools - 2002 - Advances in multidimensional integration.pdf:pdf},
	Issn = {03770427},
	Journal = {Journal of Computational and Applied Mathematics},
	Keywords = {cubature,numerical integration,quadrature},
	Number = {1},
	Pages = {1--12},
	Title = {{Advances in multidimensional integration}},
	Volume = {149},
	Year = {2002}}
	
@article{Arasaratnam2009,
author = {Arasaratnam, Ienkaran and Haykin, Simon},
doi = {10.1109/TAC.2009.2019800},
file = {:Users/dennari/Documents/School/Articles/Arasaratnam, Haykin - 2009 - Cubature Kalman Filters.pdf:pdf},
issn = {0018-9286},
journal = {IEEE Transactions on Automatic Control},
number = {6},
pages = {1254--1269},
title = {{Cubature Kalman Filters}},
volume = {54},
year = {2009}}

@article{Hinrichs2007,
author = {Hinrichs, Aicke and Novak, Erich},
journal = {Mathematics of computation},
keywords = {and phrases,cubature formulas,m},
number = {259},
pages = {1357--1372},
title = {{Cubature formulas for symmetric measures in higher dimensions with few points}},
volume = {76},
year = {2007}}

@article{Omelyan2006,
author = {Omelyan, I and Solovyan, V},
doi = {10.1016/j.cam.2005.04.005},
issn = {03770427},
journal = {Journal of Computational and Applied Mathematics},
keywords = {cubature,multivariate integration,nonlinear solver},
number = {2},
pages = {190--204},
title = {{Improved cubature formulae of high degrees of exactness for the square}},
volume = {188},
year = {2006}}

@article{Novak1999,
author = {Novak, E. and Ritter, Klaus},
journal = {Constructive approximation},
number = {4},
publisher = {Springer},
title = {{Simple Cubature Formulas with High Polynomial Exactness}},
volume = {15},
year = {1999}}

@book{Zienkiewicz2005,
author = {Zienkiewicz, OC and Taylor, RL and Zhu, JZ},
booktitle = {Elsevier Butterworth Heinemann},
edition = {6},
file = {:Users/dennari/Documents/School/Articles/Zienkiewicz, Taylor, Zhu - 2005 - The Finite Element Method Its Basis and Fundamentals.pdf:pdf},
isbn = {0 7506 6320 0},
pages = {802},
publisher = {Elsevier Butterworth-Heinemann},
title = {{The Finite Element Method: Its Basis and Fundamentals}},
year = {2005}
}

@book{Stoer1993,
abstract = {This book contains a large amount of information not found in standard textbooks. Written for the advanced undergraduate/beginning graduate student, it combines the modern mathematical standards of numerical analysis with an understanding of the needs of the computer scientist working on practical applications. Among its many particular features are: fully worked-out examples; many carefully selected and formulated problems; fast Fourier transform methods; a thorough discussion of some important minimization methods; solution of stiff or implicit ordinary differential equations and of differential algebraic systems; modern shooting techniques for solving two-point boundary value problems; and basics of multigrid methods. This new edition features expanded presentation of Hermite interpolation and B-splines, with a new section on multi-resolution methods and B-splines. New material on differential equations and the iterative solution of linear equations include: solving differential equations in the presence of discontinuities whose locations are not known at the outset; techniques for sensitivity analyses of differential equations dependent on additional parameters; new advanced techniques in multiple shooting; and Krylov space methods for non-symmetric systems of linear equations.},
author = {Josef Stoer and Roland Bulirsch},
edition = {2},
publisher = {Springer},
title = {{Introduction to numerical analysis}},
year = {1993}
}

@book{Trefethen1997,
abstract = {Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.},
author = {Trefethen, Lloyd Nicholas and Bau, David},
isbn = {0898713617, 9780898713619},
pages = {361},
publisher = {SIAM},
title = {{Numerical linear algebra}},
year = {1997}
}

@article{Kuo2005,
author = {Kuo, Frances Y. and Sloan, I.H.},
file = {:Users/dennari/Documents/School/Articles/Kuo, Sloan - 2005 - Lifting the curse of dimensionality.pdf:pdf},
journal = {Notices of the AMS},
number = {11},
pages = {1320-1328},
publisher = {American Mathematical Society},
title = {{Lifting the curse of dimensionality}},
volume = {52},
year = {2005}
}


@article{Schmid1980,
author = {Schmid, H.J.},
doi = {10.1126/science.52.1337.155},
issn = {1095-9203},
journal = {Mathematische Zeitschrift},
month = {8},
number = {3},
pages = {267-282},
publisher = {Springer},
title = {{Interpolatorische Kubaturformeln und reelle Ideale}},
volume = {170},
year = {1980}
}

@article{Radon1948,
author = {Radon, Johann},
doi = {10.1007/BF01525334},
issn = {0026-9255},
journal = {Monatshefte f\"{u}r Mathematik},
month = {12},
number = {4},
pages = {286--300},
title = {{Zur mechanischen Kubatur}},
volume = {52},
year = {1948}
}

@article{Moller1976,
author = {M\"{o}ller, H. M.},
doi = {10.1007/BF01462272},
issn = {0029-599X},
journal = {Numerische Mathematik},
month = {6},
number = {2},
pages = {185--200},
title = {{Kubaturformeln mit minimaler Knotenzahl}},
volume = {25},
year = {1976}
}

@article{Gauss1814,
author = {Gauss, C.F.},
journal = {Commentationes Societatis Regiae Scientarium Gottingensis Recentiores 2},
pages = {163--196},
title = {{Methodus nova integralium valores per approximationem inveniendi}},
year = {1814}
}

@article{Sommariva2008,
author = {Sommariva, Alvise and Vianello, Marco and Zanovello, Renato},
doi = {10.1007/s11075-008-9203-x},
issn = {1017-1398},
journal = {Numerical Algorithms},
keywords = {2000,65d32,cubature,curtis,formulas,hyperinterpolation,mathematics subject classification,morrow,nontensorial bivariate clenshaw,orthogonal moments,orthogonal polynomials,padua points,patterson,quadrature,xu points},
number = {1-4},
pages = {409--427},
title = {{Nontensorial Clenshaw--“Curtis cubature}},
volume = {49},
year = {2008}
}
@article{Trefethen2008,
author = {Trefethen, Lloyd N.},
doi = {10.1137/060659831},
issn = {00361445},
journal = {SIAM Review},
keywords = {060659831,10,1137,41a20,41a58,65d32,ams subject classifications,chebyshev expansion,clenshaw,cotes,curtis,doi,fft,gauss quadrature,newton,proximation,rational ap-,spectral methods},
number = {1},
pages = {67},
title = {{Is Gauss Quadrature Better than Clenshaw--Curtis?}},
volume = {50},
year = {2008}
}


@article{Cools2003,
author = {Cools, Ronald},
journal = {J. Complexity},
number = {3},
pages = {445},
publisher = {Orlando, FL: Academic Press,[c1985-},
title = {{An encyclopaedia of cubature formulas}},
volume = {19},
year = {2003}
}
@article{Cools1996,
author = {Cools, Ronald and Dellaportas, Petros},
doi = {10.1007/BF00140868},
issn = {0960-3174},
journal = {Statistics and Computing},
keywords = {embedded integration rules,numerical integration,pareto model},
month = {syyskuuta},
number = {3},
pages = {245--250},
title = {{The role of embedded integration rules in Bayesian statistics}},
volume = {6},
year = {1996}
}
@Manual{MatlabQuad,
  title = 	 {'quad'-funktion lähdekoodi},
  OPTkey = 	 {},
  OPTauthor = 	 {},
  organization = {The MathWorks, Inc.},
  address = 	 {3 Apple Hill Drive Natick, MA 01760-2098. USA.},
  OPTedition = 	 {},
  OPTmonth = 	 {},
  year = 	 {2008},
  note = 	 {saadaan näkyville MATLAB:issa komennolla 'type quad'},
  OPTannote = 	 {}
}

@article{Stoyanova2009,
author = {Stoyanova, S. B.},
doi = {10.3103/S1063454109020101},
issn = {1063-4541},
journal = {Vestnik St. Petersburg University: Mathematics},
month = {toukokuuta},
number = {2},
pages = {135--140},
title = {{An invariant cubature formula of degree nine for a hypercube}},
volume = {42},
year = {2009}
}

@article{Cools2010,
author = {Cools, Ronald and Kuo, Frances Y. and Nuyens, D.},
doi = {10.1007/s00607-009-0076-1},
issn = {0010-485X},
journal = {Computing},
keywords = {2000,65d30,degree of exactness,lattice rules,mathematics subject classification,multivariate numerical integration,numerical integration},
title = {{Constructing lattice rules based on weighted degree of exactness and worst case error}},
year = {2010}
}

@article{Lu2005,
author = {Lu, James and Darmofal, D.L.},
journal = {SIAM Journal on Scientific Computing},
keywords = {1,10,1137,60h35,65d32,ams subject classifications,doi,gaussian weight,in probabilistic studies,introduction,modeled to,numerical integration,probabilistic design,random inputs are often,s1064827503426863,will include},
mendeley-tags = {will include},
number = {2},
pages = {613--624},
publisher = {Citeseer},
title = {{Higher-dimensional Integration with Gaussian Weight for Applications in Probabilistic Design}},
volume = {26},
year = {2005}
}