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1. Quadrature theory
: the theory of numerical integration on a compact interval
by Brass, Helmut and Petras, Knut, 1962
2011, Mathematical surveys and monographs, ISBN 0821853619, Volume 178, vii, 363
Gaussian quadrature formulas | Numerical integration
Book
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2. Quadrature formulae
by Ghizzetti, Aldo and Ossicini, Alessandro
1970, ISBN 0122817508, 192
Numerical integration
Book
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3. Quadrature domains
by Sakai, Makoto, 1943
1982, Lecture notes in mathematics, ISBN 9780387115627, Volume 934, 133
Potential theory (Mathematics) | Functions of complex variables
Book
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4. Quadrature formulae
by Ghizzetti, Aldo and Ossicini, Alessandro
1970, 192
Numerical integration
Book
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5. Matrices, moments, and quadrature with applications
by Golub, Gene H. 1932-2007 (Gene Howard) and Meurant, Gérard A
2010, 1, Princeton series in applied mathematics, ISBN 0691143412, Volume 9781400833887, ix, 363
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and... 
Matrices | Numerical analysis | Mathematics | Technology | Math
Book
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6. Matrices, moments and quadrature with applications
by Golub, G. H
2010, 1, Princeton series in applied mathematics, ISBN 0691143412, Volume 9781400833887, ix, 363
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and... 
Mathematics | Matrices | Technology | Numerical analysis | Math
Book
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7. Advanced differential quadrature methods
by Zong, Zhi and Zhang, Yingyan
2009, Chapman & Hall/CRC applied mathematics and nonlinear science series, ISBN 1420082485, 339
Numerical solutions | Numerical integration | Differential equations
Book
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8. Shape Aware Quadratures
by Vaidyanathan Thiagarajan and Vadim Shapiro
Journal of Computational Physics, ISSN 0021-9991, 12/2018, Volume 374, p. 1239
With Shape Aware Quadratures (SAQ), for a given set of quadrature nodes, order, and domain of integration, the quadrature weights are obtained by solving a... 
Domains | Theorems | Integration | Bivariate analysis | Numerical analysis | Sensitivity analysis | Numerical integration | Approximation | Mathematical analysis | Polynomials | Quadratures
Journal Article
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9. Full Text Shape Aware Quadratures
by Thiagarajan, Vaidyanathan and Shapiro, Vadim
Journal of Computational Physics, ISSN 0021-9991, 12/2018, Volume 374, pp. 1239 - 1260
With Shape Aware Quadratures (SAQ), for a given set of quadrature nodes, order, and domain of integration, the quadrature weights are obtained by solving a... 
Moment fitting equations | Divergence theorem | Numerical integration | Shape sensitivity analysis | Topological sensitivity analysis | Octree/quadtree
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10. Quadrature domains and their applications
: the Harold S. Shapiro anniversary volume
by Shapiro, Harold S and Ebenfelt, Peter
2005, Operator theory, advances and applications, ISBN 9783764371456, Volume 156, xxviii, 277
Potential theory (Mathematics) | Functions of complex variables
Book
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11. Numerical quadrature and solution of ordinary differential equations
: a textbook for a beginning course in numerical analysis
by Stroud, A. H
1974, Applied mathematical sciences, ISBN 3540901000, Volume 10, xi, 338
Numerical solutions | Numerical integration | Differential equations
Book
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12. Optimal quadrature formulas
by Levin, Meishe Isakovich, 1934 and Girshovich, Jury, 1950
1. Aufl. --. --, Teubner-Texte zur Mathematik, 124 p. --
Numerical integration | Mathematical optimization
Book
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13. Numerical quadrature and cubature
by Engels, H. (Hermann)
1980, Computational mathematics and applications, ISBN 012238850X, xiv, 441
Numerical integration
Book
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14. Full Text GPOPS-II
: A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using hp-Adaptive Gaussian Quadrature Collocation Methods and Sparse Nonlinear Programming
by Patterson, Michael A and Rao, Anil V
ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 10/2014, Volume 41, Issue 1, pp. 1 - 37
A general-purpose MATLAB software program called GPOPS--II is described for solving multiple-phase optimal control problems using variable-order Gaussian... 
direct collocation | applied mathematics | hp--adaptive methods | numerical methods | Optimal control | scientific computation | Gaussian quadrature | MATLAB | Scientific computation | Applied mathematics | Numerical methods | Direct collocation | Hp-adaptive methods | Matlab | PSEUDOSPECTRAL METHODS | MATHEMATICS, APPLIED | ALGORITHM | COSTATE ESTIMATION | Verification | Design | hp-adaptive methods | COMPUTER SCIENCE, SOFTWARE ENGINEERING | Algorithms | SPACECRAFT FORMATIONS | CONVERGENCE | DIRECT TRAJECTORY OPTIMIZATION | Computer programming | Usage | Nonlinear programming | Analysis | Gaussian processes | Mathematical analysis | Collocation methods | Software | Derivatives | Computer programs | Quadratures
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15. Optimal quadrature formulas
by Levin, Meishe Isakovich, 1934 and Girshovich, Jury, 1950
1979, 1. Aufl. --, Teubner-Texte zur Mathematik., 124
Mathematical optimization | Numerical integration
Book
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16. Full Text Fully symmetric kernel quadrature
by Karvonen, Toni and Sarkka, Simo
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 2, pp. A697 - A720
Kernel quadratures and other kernel-based approximation methods typically suffer from prohibitive cubic time and quadratic space complexity in the number of... 
Bayesian quadrature | Sparse grids | Kernel quadrature | Reproducing kernel Hilbert spaces | Numerical integration | Fully symmetric sets | MATHEMATICS, APPLIED | numerical integration | ALGORITHM | REGIONS | fully symmetric sets | INTERPOLATORY RULES | DIMENSIONAL INTEGRATION | sparse grids | kernel quadrature | reproducing kernel Hilbert spaces | CUBATURE
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17. Full Text Shape Aware Quadrature
by Thiagarajan, V and Shapiro, V
JOURNAL OF COMPUTATIONAL PHYSICS, ISSN 0021-9991, 12/2018, Volume 374, pp. 1239 - 1260
With Shape Aware Quadratures (SAQ), for a given set of quadrature nodes, order, and domain of integration, the quadrature weights are obtained by solving a... 
Moment fitting equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Numerical integration | Shape sensitivity analysis | Octree/quadtree | SENSITIVITY | Divergence theorem | WEIGHTED NUMERICAL-INTEGRATION | RULES | PHYSICS, MATHEMATICAL | Topological sensitivity analysis | CUBATURE
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18. Discrete element analysis methods of generic differential quadratures
by Chen, Chang-New
2006, Lecture notes in applied and computational mechanics, ISBN 9783540289470, Volume 25, xi, 282
This book presents numerical differential quadrature (DQ) - based methods recently developed by the author. Their ability for solving generic scientific and... 
Differential equations, Partial | Numerical solutions | Differential equations | Numerical and Computational Methods | Engineering | Mathematical Methods in Physics | Mathematical and Computational Physics | Physics and Applied Physics in Engineering | Theoretical and Applied Mechanics | Numerical and Computational Methods in Engineering
Book
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19. Full Text Efficient quadrature for NURBS-based isogeometric analysis
by Hughes, T.J.R and Reali, A and Sangalli, G
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2010, Volume 199, Issue 5, pp. 301 - 313
We initiate the study of efficient quadrature rules for NURBS-based isogeometric analysis. A rule of thumb emerges, the “half-point rule”, indicating that... 
Isogeometric analysis | Numerical integration | NURBS | B-splines | FINITE-ELEMENTS | STRUCTURAL VIBRATIONS | REFINEMENT | CONTINUITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | TURBULENCE | FLOWS
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20. Full Text Is Gauss Quadrature Better than Clenshaw-Curtis?
by Lloyd N. Trefethen
SIAM Review, ISSN 0036-1445, 3/2008, Volume 50, Issue 1, pp. 67 - 87
We compare the convergence behavior of Gauss quadrature with that of its younger brother, Clenshaw-Curtis. Seven-line MATLAB codes are presented that implement... 
Numerical quadratures | Interpolation | Approximation | Numerical analysis | Rational functions | Polynomials | Problems and Techniques | Coefficients | Gaussian quadratures | Degrees of polynomials | Rational approximation | Gauss quadrature | Newton-Cotes | FFT | Clenshaw-Curtis | Chebyshev expansion | Spectral methods | MATHEMATICS, APPLIED | spectral methods | FEJER | INTEGRATION | APPROXIMATIONS | rational approxiination | RULES | Numerical integration | Comparative analysis | Mathematical analysis | Methods | Planes | Pade approximation | Aliasing | Convergence | Quadratures | Matlab
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