Michael Bartoň

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All published works

Action	Title	Year	Authors
+ PDF Chat	On tiling spherical triangles into quadratic subpatches	2024	Michal Bizzarri Miroslav Lávička Jan Vršek Michael Bartoň Jiří Kosinka
+ PDF Chat	On inverse construction of isoptics and isochordal-viewed curves	2023	David Rochera Michael Bartoň
+ PDF Chat	Solving boundary value problems via the Nyström method using spline Gauss rules	2023	Ali Hashemian H. O. Sliusarenko Sara Remogna D. Barrera Michael Bartoň
+	On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines	2022	D. Barrera Michael Bartoň I. Chiarella Sara Remogna
+ PDF Chat	Characterizing envelopes of moving rotational cones and applications in CNC machining	2020	Mikhail Skopenkov Pengbo Bo Michael Bartoň Helmut Pottmann
+	Characterizing envelopes of moving rotational cones and applications in CNC machining	2020	Mikhail Skopenkov Pengbo Bo Michael Bartoň Helmut Pottmann
+	Characterizing envelopes of moving rotational cones and applications in CNC machining	2020	Mikhail Skopenkov Pengbo Bo Michael Bartoň Helmut Pottmann
+	Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines	2019	Michael Bartoň Vladimir Puzyrev Quanling Deng Victor M. Calo
+	Gaussian quadrature for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e812" altimg="si44.gif"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> cubic Clough–Tocher macro-triangles	2018	Jiří Kosinka Michael Bartoň
+	On numerical quadrature for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml63" display="inline" overflow="scroll" altimg="si4.gif"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> quadratic Powell–Sabin 6-split macro-triangles	2018	Michael Bartoň Jiří Kosinka
+ PDF Chat	Generalization of the Pythagorean Eigenvalue Error Theorem and Its Application to Isogeometric Analysis	2018	Michael Bartoň Victor M. Calo Quanling Deng Vladimir Puzyrev
+	Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines	2017	Michael Bartoň Vladimir Puzyrev Quanling Deng Victor M. Calo
+ PDF Chat	Dispersion-minimizing quadrature rules for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml5" display="inline" overflow="scroll" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> quadratic isogeometric analysis	2017	Quanling Deng Michael Bartoň Vladimir Puzyrev Victor M. Calo
+	Optimally refined isogeometric analysis	2017	Daniel García Michael Bartoň David Pardo
+	Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines	2017	Michael Bartoň Vladimir Puzyrev Quanling Deng Victor M. Calo
+ PDF Chat	Gauss–Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis	2016	Michael Bartoň Victor M. Calo
+ PDF Chat	Convergence of barycentric coordinates to barycentric kernels	2016	Jiří Kosinka Michael Bartoň
+	Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis	2016	Michael Bartoň Victor M. Calo
+	Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis	2016	Michael Bartoň Victor M. Calo
+ PDF Chat	Gaussian quadrature for splines via homotopy continuation: Rules for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si57.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> cubic splines	2015	Michael Bartoň Victor M. Calo
+	Gaussian quadrature for splines via homotopy continuation: rules for $C^2$ cubic splines	2015	Michael Bartoň Victor M. Calo
+	Gaussian quadrature rules for $C^1$ quintic splines	2015	Michael Bartoň Rachid Ait-Haddou Victor M. Calo
+	Optimal quadrature rules for isogeometric analysis	2015	Michael Bartoň Victor M. Calo
+	Gaussian quadrature for splines via homotopy continuation: rules for $C^2$ cubic splines	2015	Michael Bartoň Victor M. Calo
+	Explicit Gaussian quadrature rules for cubic splines with non-uniform knot sequences	2014	Rachid Ait-Haddou Michael Bartoň Victor M. Calo
+	Strain-minimising Stream Surfaces	2014	Michael Bartoň Jiří Kosinka Victor M. Calo
+	Global Solutions of Well-Constrained Transcendental Systems Using Expression Trees and a Single Solution Test	2010	Maxim Aizenshtein Michael Bartoň Gershon Elber
+	Quadratic Clipping and its Generalization for Polynomial Systems	2007	Michael Bartoň

Common Coauthors

Coauthor	Papers Together
Victor M. Calo	15
Quanling Deng	5
Vladimir Puzyrev	5
Jiří Kosinka	5
Pengbo Bo	3
Mikhail Skopenkov	3
Helmut Pottmann	3
Rachid Ait-Haddou	2
D. Barrera	2
Sara Remogna	2
David Pardo	1
Jan Vršek	1
I. Chiarella	1
Miroslav Lávička	1
Maxim Aizenshtein	1
Daniel García	1
David Rochera	1
Gershon Elber	1
Ali Hashemian	1
Michal Bizzarri	1
H. O. Sliusarenko	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Gaussian quadrature for splines via homotopy continuation: Rules for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si57.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> cubic splines	2015	Michael Bartoň Victor M. Calo	10
+	Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots	1977	Charles A. Micchelli Allan Pinkus	9
+ PDF Chat	Fast formation of isogeometric Galerkin matrices by weighted quadrature	2016	Francesco Calabrò Giancarlo Sangalli Mattia Tani	7
+ PDF Chat	Gauss–Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis	2016	Michael Bartoň Victor M. Calo	6
+	The Fundamental Theorem of Algebra for Monosplines with Multiplicities	1972	Charles A. Micchelli	6
+	Numerical Analysis	1997	Walter Gautschi	5
+	On certain definite quadrature formulae	1996	Geno Nikolov	5
+ PDF Chat	Inequalities for the zeros of Legendre polynomials and related functions	1936	G. Szegö	5
+	Explicit Gaussian quadrature rules for cubic splines with non-uniform knot sequences	2014	Rachid Ait-Haddou Michael Bartoň Victor M. Calo	5
+ PDF Chat	Dispersion-optimized quadrature rules for isogeometric analysis: Modified inner products, their dispersion properties, and optimally blended schemes	2017	Vladimir Puzyrev Quanling Deng Victor M. Calo	4
+ PDF Chat	Discrete Geodesic Nets for Modeling Developable Surfaces	2018	Michael Rabinovich Tim Hoffmann Olga Sorkine‐Hornung	3
+ PDF Chat	Surfaces in 3-space and their contact with circles	1986	James Montaldi	3
+	Dispersion optimized quadratures for isogeometric analysis	2017	Victor M. Calo Quanling Deng Vladimir Puzyrev	3
+	The implicit equation of a canal surface	2008	Marc Dohm Severinas Zubė	3
+	Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions	1996	Wei Ma Vladimir Rokhlin Stephen M. Wandzura	3
+	Isotrope Geometrie des Raumes	1990	Hans Sachs	3
+	A quadrature-based approach to improving the collocation method	1988	Ian H. Sloan	3
+ PDF Chat	Ruled Laguerre minimal surfaces	2011	Mikhail Skopenkov Helmut Pottmann Philipp Grohs	3
+	The enumeration of simultaneous higher-order contacts between plane curves	1992	Susan Jane Colley Gary J. Kennedy	2
+	Piecewise Quadratic Approximations on Triangles	1977	M. J. D. Powell Malcolm Sabin	2
+	Numerical Integration Over Simplexes	1956	Preston C. Hammer Arthur H. Stroud	2
+	Non-uniform quasi-interpolation for solving Hammerstein integral equations	2018	D. Barrera F. El Mokhtari M.J. Ibáñez D. Sbibih	2
+	Gaussian quadrature rules for $C^1$ quintic splines	2015	Michael Bartoň Rachid Ait-Haddou Victor M. Calo	2
+	Spline quasi-interpolating projectors for the solution of nonlinear integral equations	2018	Catterina Dagnino Angelo Dallefrate Sara Remogna	2
+	The enumeration of simultaneous higher-order contacts between plane curves	1992	Susan Jane Colley Gary J. Kennedy	2
+	A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions	2009	Hong Xiao Zydrunas Gimbutas	2
+ PDF Chat	Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization	2017	Gang Xu Ming Li Bernard Mourrain Timon Rabczuk Jinlan Xu Stéphane Bordas	2
+	Differential Geometry of Curves and Surfaces	2019	Shôshichi Kobayashi	2
+ PDF Chat	On the solution of Fredholm integral equations based on spline quasi-interpolating projectors	2014	Catterina Dagnino Sara Remogna Paul Sablonnière	2
+	Inequalities for the Zeros of Legendre Polynomials and Related Functions	1936	G. Szegö	2
+	Higher-Order Finite Element Methods	2003	Ivo Doležel Karel Segeth Pavel Šolı́n	2
+ PDF Chat	Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM	2017	A. Aimi Francesco Calabrò M. Diligenti Maria Lucia Sampoli Giancarlo Sangalli Alessandra Sestini	2
+ PDF Chat	On the shape optimization of flapping wings and their performance analysis	2013	Mehdi Ghommem Nathan Collier Antti H. Niemi Victor M. Calo	2
+	Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration	2010	Mark Ainsworth Hafiz Abdul Wajid	2
+ PDF Chat	Dispersion-minimizing quadrature rules for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml5" display="inline" overflow="scroll" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> quadratic isogeometric analysis	2017	Quanling Deng Michael Bartoň Vladimir Puzyrev Victor M. Calo	2
+	Reduced integration at superconvergent points in isogeometric analysis	2017	Frederik Fahrendorf Laura De Lorenzis Héctor Gómez	2
+ PDF Chat	The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers	2011	Nathan Collier David Pardo Lisandro Dalcín Maciej Paszyński Victor M. Calo	2
+	Isogeometric analysis of structural vibrations	2006	J. Austin Cottrell Alessandro Reali Yuri Bazilevs Thomas J.R. Hughes	2
+ PDF Chat	On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers	2014	Nathan Collier Lisandro Dalcín Victor M. Calo	2
+	Lie sphere geometry	1992	Thomas E. Cecil	2
+	A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind	1977	Lars B. Wahlbin Kendall Atkinson	2
+ PDF Chat	Numerical integration over simplexes	1956	Preston C. Hammer Arthur H. Stroud	2
+ PDF Chat	Generalized Gaussian quadrature rules on arbitrary polygons	2009	Mohammad Mousavi Hanguang Xiao N. Sukumar	2
+	Approximate Calculation of Multiple Integrals	1973	W. G. A. H. Stroud	2
+	Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations	2018	D. Barrera F. El Mokhtari D. Sbibih	2
+ PDF Chat	and projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements	2008	Thomas Elguedj Y. Bazilevs Victor M. Calo Thomas J.R. Hughes	2
+	On the approximate calculation of multiple integrals	2015	N. S. Bakhvalov	2
+ PDF Chat	Is a convex plane body determined by an isoptic?	2011	Árpád Kurusa	1
+ PDF Chat	High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane	2013	Shifeng Hao Alex H. Barnett Per‐Gunnar Martinsson Porter Young	1
+ PDF Chat	A Survey of Numerical Methods for Solving Nonlinear Integral Equations	1992	Kendall Atkinson	1