Jean–Paul Berrut

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All published works

Action	Title	Year	Authors
+ PDF Chat	Asymptotically uniform functions: a single hypothesis which solves two old problems	2024	J.-P. Gabriel Jean‐Paul Berrut
+	The barycentric rational predictor-corrector schemes for Volterra integral equations	2023	Ali Abdi Jean‐Paul Berrut Helmut Podhaisky
+	Asymptotically uniform functions: a single hypothesis which solves two old problems	2023	Jean-Pierre Gabriel Jean–Paul Berrut
+ PDF Chat	Extrapolation quadrature from equispaced samples of functions with jumps	2022	Jean‐Paul Berrut Manfred R. Trummer
+	Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations	2022	Ali Abdi Jean‐Paul Berrut S.A. Hosseini
+ PDF Chat	A linear barycentric rational interpolant on starlike domains	2022	Jean‐Paul Berrut Giacomo Elefante
+	The Conditioning of a Linear Barycentric Rational Interpolant	2022	Jean‐Paul Berrut
+	Bounding the Lebesgue constant for a barycentric rational trigonometric interpolant at periodic well-spaced nodes	2021	Jean‐Paul Berrut Giacomo Elefante
+	A linear barycentric rational interpolant on starlike domains	2021	Jean–Paul Berrut Giacomo Elefante
+	The Influence of Jumps on the Sinc Interpolant, and Ways to Overcome It	2020	Jean‐Paul Berrut
+ PDF Chat	A periodic map for linear barycentric rational trigonometric interpolation	2019	Jean‐Paul Berrut Giacomo Elefante
+ PDF Chat	The Linear Barycentric Rational Method for a Class of Delay Volterra Integro-Differential Equations	2017	Ali Abdi Jean‐Paul Berrut S.A. Hosseini
+	Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness	2017	Jean‐Paul Berrut
+	New Directions in Numerical Computation	2016	Tobin A. Driscoll Alex Townsend Jean‐Paul Berrut Bengt Fornberg Anne Greenbaum Nicholas J. Higham Randy LeVeque Ian H. Sloan
+ PDF Chat	The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations	2014	Jean‐Paul Berrut S.A. Hosseini Georg Klein
+	Approximation des fonctions	2013	Jean–Paul Berrut
+ PDF Chat	Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants	2012	Georges Klein Jean‐Paul Berrut
+ PDF Chat	Linear barycentric rational quadrature	2011	Georges Klein Jean‐Paul Berrut
+ PDF Chat	Convergence rates of derivatives of a family of barycentric rational interpolants	2011	Jean‐Paul Berrut Michael S. Floater Georges Klein
+ PDF Chat	A formula for the error of finite sinc interpolation with an even number of nodes	2010	Jean‐Paul Berrut
+ PDF Chat	First applications of a formula for the error of finite sinc interpolation	2009	Jean‐Paul Berrut
+ PDF Chat	A formula for the error of finite sinc-interpolation over a finite interval	2007	Jean‐Paul Berrut
+	Fourier and barycentric formulae for equidistant Hermite trigonometric interpolation	2007	Jean‐Paul Berrut Annick Welscher
+	A circular interpretation of the Euler–Maclaurin formula	2005	Jean‐Paul Berrut
+ PDF Chat	Recent Developments in Barycentric Rational Interpolation	2005	Jean‐Paul Berrut Richard Baltensperger Hans D. Mittelmann
+ PDF Chat	Optimized point shifts and poles in the linear rational pseudospectral method for boundary value problems	2004	Jean‐Paul Berrut Hans D. Mittelmann
+ PDF Chat	Barycentric Lagrange Interpolation	2004	Jean‐Paul Berrut Lloyd N. Trefethen
+	Adaptive point shifts in rational approximation with optimized denominator	2003	Jean‐Paul Berrut Hans D. Mittelmann
+	None	2003	Richard Baltensperger Jean‐Paul Berrut Yves Dubey
+ PDF Chat	Linear Rational Interpolation and Its Application in Approximation and Boundary Value Problems	2002	Jean‐Paul Berrut Hans D. Mittelmann
+	The linear rational collocation method	2001	Richard Baltensperger Jean‐Paul Berrut
+	None	2001	Jean‐Paul Berrut Richard Baltensperger
+	The Linear Rational Pseudospectral Method with Iteratively Optimized Poles for Two-Point Boundary Value Problems	2001	Jean‐Paul Berrut Hans D. Mittelmann
+	None	2000	Jean‐Paul Berrut Hans D. Mittelmann
+	None	2000	Jean‐Paul Berrut
+	Exponential convergence of a linear rational interpolant between transformed Chebyshev points	1999	Richard Baltensperger Jean–Paul Berrut Benjamin Noël
+	The errors in calculating the pseudospectral differentiation matrices for C̆ebys̆ev-Gauss-Lobatto points	1999	Richard Baltensperger Jean‐Paul Berrut
+	The barycentric weights of rational interpolation with prescribed poles	1997	Jean‐Paul Berrut
+	Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval	1997	Jean‐Paul Berrut Hans D. Mittelmann
+ PDF Chat	Numerical Solution of Periodic Fredholm Integral Equations of the Second Kind by Means of Attenuation Factors	1997	Jean–Paul Berrut Michèle Reifenberg
+ PDF Chat	Exponentially convergent linear rational interpolation between equidistant (and other) points	1997	Jean‐Paul Berrut Hans D. Mittelmann
+	A formula for optimal integration in H2	1993	Jean‐Paul Berrut
+	A closed formula for the čebyšev barycentric weights of optimal approximation in H2	1993	Jean‐Paul Berrut
+	Barycentric formulae for some optimal rational approximants involving blaschke products	1990	Jean‐Paul Berrut
+	Barycentric formulae for cardinal (SINC-)interpolants	1989	Jean‐Paul Berrut
+ PDF Chat	Barycentric Formulae for Cardinal (SINC-).Interpolants	1989	Jean‐Paul Berrut
+ PDF Chat	Equivalence of Nyström’s method and Fourier methods for the numerical solution of Fredholm integral equations	1987	Jean‐Paul Berrut Manfred R. Trummer
+	Equivalence of Nystrom's Method and Fourier Methods for the Numerical Solution of Fredholm Integral Equations	1987	Jean–Paul Berrut Manfred R. Trummer
+	A Fredholm integral equation of the second kind for conformal mapping	1986	Jean‐Paul Berrut

Common Coauthors

Coauthor	Papers Together
Hans D. Mittelmann	8
Richard Baltensperger	6
Giacomo Elefante	4
Georges Klein	3
Ali Abdi	3
Manfred R. Trummer	3
S.A. Hosseini	3
Bengt Fornberg	1
Anne Greenbaum	1
Michèle Reifenberg	1
Alex Townsend	1
Annick Welscher	1
Michael S. Floater	1
Georg Klein	1
Tobin A. Driscoll	1
Lloyd N. Trefethen	1
Nicholas J. Higham	1
Ian H. Sloan	1
Randy LeVeque	1
Helmut Podhaisky	1
Benjamin Noël	1
J.-P. Gabriel	1
Jean-Pierre Gabriel	1
Yves Dubey	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some New Aspects of Rational Interpolation	1986	Claus Schneider Wilhelm Werner	17
+	Essentials of numerical analysis, with pocket calculator demonstrations	1982	Peter Henrici	15
+	Exponential convergence of a linear rational interpolant between transformed Chebyshev points	1999	Richard Baltensperger Jean–Paul Berrut Benjamin Noël	15
+ PDF Chat	Some new aspects of rational interpolation	1986	Claus Schneider Wilhelm Werner	14
+	Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval	1997	Jean‐Paul Berrut Hans D. Mittelmann	14
+	Baryzentrische Formeln zur Trigonometrischen Interpolation (I)	1984	Jean -Paul Berrut	10
+	Lagrangian Interpolation at the Chebyshev Points xn, cos ( /n), = 0(1)n; some Unnoted Advantages	1972	H. E. Salzer	10
+	The linear rational collocation method	2001	Richard Baltensperger Jean‐Paul Berrut	10
+	The errors in calculating the pseudospectral differentiation matrices for C̆ebys̆ev-Gauss-Lobatto points	1999	Richard Baltensperger Jean‐Paul Berrut	10
+	A Modified Chebyshev Pseudospectral Method with an O(N-1) Time Step Restriction	1993	Dan Kosloff Hillel Tal‐Ezer	9
+	A Practical Guide to Pseudospectral Methods	1996	Bengt Fornberg	9
+	None	2001	Jean‐Paul Berrut Richard Baltensperger	9
+ PDF Chat	On the Lebesgue constant of barycentric rational interpolation at equidistant nodes	2011	Len Bos Stefano De Marchı Kai Hormann Georges Klein	8
+	Barycentric formulae for cardinal (SINC-)interpolants	1989	Jean‐Paul Berrut	8
+	Barycentric formulas for interpolating trigonometric polynomials and their conjugates	1979	Peter Henrici	8
+	Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems	1996	Tao Tang Manfred R. Trummer	8
+ PDF Chat	Polynomial interpolation: Lagrange versus Newton	1984	Wilhelm Werner	7
+	The barycentric weights of rational interpolation with prescribed poles	1997	Jean‐Paul Berrut	7
+	None	2000	Jean‐Paul Berrut Hans D. Mittelmann	7
+ PDF Chat	Barycentric Lagrange Interpolation	2004	Jean‐Paul Berrut Lloyd N. Trefethen	7
+	A circular interpretation of the Euler–Maclaurin formula	2005	Jean‐Paul Berrut	6
+	Einführung in die Numerische Mathematik I	1983	Josef Stoer	6
+	The Linear Rational Pseudospectral Method with Iteratively Optimized Poles for Two-Point Boundary Value Problems	2001	Jean‐Paul Berrut Hans D. Mittelmann	6
+	An Introduction to Numerical Analysis	1990	F. S. Kendall Atkinson	5
+ PDF Chat	Linear barycentric rational quadrature	2011	Georges Klein Jean‐Paul Berrut	5
+	The Chebyshev polynomials	1974	T. J. Rivlin	5
+	Adaptive point shifts in rational approximation with optimized denominator	2003	Jean‐Paul Berrut Hans D. Mittelmann	5
+	Numerical Methods Based on Sinc and Analytic Functions	1993	Frank Stenger	5
+	Baryzentrische Formeln zur trigonometrischen Interpolation (II) Stabilit�t und Anwendung auf die Fourieranalyse bei ungleichabst�ndigen St�tzstellen	1984	Jean -Paul Berrut	5
+	A numerical study of stiff two-point boundary problems	1977	Piet Hemker	4
+	Numerical analysis: an introduction	1998	Walter Gautschi	4
+	An Introduction to the Approximation of Functions	1970	Joseph W. Jerome T. J. Rivlin	4
+	Barycentric formulae for some optimal rational approximants involving blaschke products	1990	Jean‐Paul Berrut	4
+	Approximation Theory and Methods.	1982	Lars B. Wahlbin M. J. D. Powell	4
+ PDF Chat	Computing Numerically with Functions Instead of Numbers	2007	Lloyd N. Trefethen	4
+	Fast Fourier Methods in Computational Complex Analysis	1979	Peter Henrici	4
+	Numerical Analysis--Mathematics of Scientific Computing.	1992	E. I. David R. Kincaid Ward Cheney	4
+ PDF Chat	The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations	2014	Jean‐Paul Berrut S.A. Hosseini Georg Klein	4
+ PDF Chat	Recent Developments in Barycentric Rational Interpolation	2005	Jean‐Paul Berrut Richard Baltensperger Hans D. Mittelmann	4
+	Approximation Theory and Approximation Practice	2013	Lloyd N. Trefethen	4
+	Sinc Methods for Quadrature and Differential Equations	1992	John Lund Kenneth L. Bowers	4
+	Some results on linear rational trigonometric interpolation	2002	Richard Baltensperger	4
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	4
+ PDF Chat	Barycentric Interpolation	2014	Kai Hormann	4
+ PDF Chat	A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points	2006	T. Wynn Tee Lloyd N. Trefethen	4
+	An Instability Phenomenon in Spectral Methods	1987	Lloyd N. Trefethen Manfred R. Trummer	4
+	Spectral Methods Based on Nonclassical Orthogonal Polynomials	1999	J. A. C. Weideman	4
+	OPTIMAL APPROXIMATION BY “ALMOST CLASSICAL” INTERPOLATION	1977	F. M. Larkin	4
+ PDF Chat	Numerical Methods Based on Sinc and Analytic Functions.	1994	Gerhard Schmeißer Frank Stenger	4
+ PDF Chat	Newton interpolation in Fejér and Chebyshev points	1989	Bernd Fischer Lothar Reichel	3