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1

Convergence of lagrange interpolation processes based on new systems of nodes

F. Peherstorfer

Journal:

Acta Mathematica Hungarica

Year:

1997

Language:

english

File:

PDF, 1.02 MB

english, 1997

2

Optimal Approximations of Coupling in Multidisciplinary Models

Baptista, Ricardo, Marzouk, Youssef, Willcox, Karen, Peherstorfer, Benjamin

Journal:

Year:

2018

Language:

english

File:

PDF, 4.37 MB

english, 2018

3

Orthogonal Polynomials on Arcs of the Unit Circle, I

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Approximation Theory

Year:

1996

Language:

english

File:

PDF, 1.95 MB

english, 1996

4

Orthogonal Polynomials on Arcs of the Unit Circle: II. Orthogonal Polynomials with Periodic Reflection Coefficients

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Approximation Theory

Year:

1996

Language:

english

File:

PDF, 1.88 MB

english, 1996

5

Orthogonal and Lq-extremal polynomials on inverse images of polynomial mappings

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 219 KB

english, 2001

6

Deformation of Minimal Polynomials and Approximation of Several Intervals by an Inverse Polynomial Mapping

Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

2001

Language:

english

File:

PDF, 190 KB

english, 2001

7

Stieltjes polynomials and functions of the second kind

Franz Peherstorfer

Journal:

Journal of Computational and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 839 KB

english, 1995

8

Spatially adaptive sparse grids for high-dimensional data-driven problems

Dirk Pflüger, Benjamin Peherstorfer, Hans-Joachim Bungartz

Journal:

Journal of Complexity

Year:

2010

Language:

english

File:

PDF, 676 KB

english, 2010

9

Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials

F. Peherstorfer, A. Volberg, P. Yuditskii

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 266 KB

english, 2007

10

Interpolatory properties of bestL1-approximants

András Kroó, Franz Peherstorfer

Journal:

Mathematische Zeitschrift

Year:

1987

Language:

english

File:

PDF, 413 KB

english, 1987

11

On an extremal problem for nonnegative trigonometric polynomials and the characterization of positive quadrature formulas with Chebyshev weight function

F. Peherstorfer

Journal:

Acta Mathematica Hungarica

Year:

1982

Language:

english

File:

PDF, 402 KB

english, 1982

12

Weight functions admitting repeated positive Kronrod quadrature

Franz Peherstorfer

Journal:

BIT Numerical Mathematics

Year:

1990

Language:

english

File:

PDF, 303 KB

english, 1990

13

Asymptotic behavior of polynomials orthonormal on a homogeneous set

Franz Peherstorfer, Peter Yuditskii

Journal:

Journal d'Analyse Mathématique

Year:

2003

Language:

english

File:

PDF, 1.46 MB

english, 2003

14

Scattering Theory for CMV Matrices: Uniqueness, Helson–Szegő and Strong Szegő Theorems

L. Golinskii, A. Kheifets, F. Peherstorfer, P. Yuditskii

Journal:

Integral Equations and Operator Theory

Year:

2011

Language:

english

File:

PDF, 378 KB

english, 2011

15

Stieltjes Polynomials and Gauss-Kronrod Quadrature for Jacobi Weight Functions

Franz Peherstorfer, Knut Petras

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 192 KB

english, 2003

16

Orthogonality of residual polynomials used in minimax polynomial preconditioning

Franz Peherstorfer

Journal:

Numerische Mathematik

Year:

1995

Language:

english

File:

PDF, 95 KB

english, 1995

17

Asymptotics of orthogonal polynomials beyond the scope of Szegő’s theorem

F. Peherstorfer, A. Volberg, P. Yuditskii

Journal:

Functional Analysis and Its Applications

Year:

2006

Language:

english

File:

PDF, 170 KB

english, 2006

18

Orthogonality properties of linear combinations of orthogonal polynomials

Francisco Marcellán, Franz Peherstorfer, Robert Steinbauer

Journal:

Advances in Computational Mathematics

Year:

1996

Language:

english

File:

PDF, 681 KB

english, 1996

19

Connectedness of Julia Sets of Rational Functions

Franz Peherstorfer, Christoph Stroh

Journal:

Computational Methods and Function Theory

Year:

2001

Language:

english

File:

PDF, 331 KB

english, 2001

20

Moments of Roots of Chebyshev Polynomials: 10448

Fu-Chuen Chang, Paul Deiermann, Walter Van Assche, Franz Peherstorfer and Johannes Kepler

Journal:

American Mathematical Monthly

Year:

1999

Language:

english

File:

PDF, 282 KB

english, 1999

21

Comparative Asymptotics for Perturbed Orthogonal Polynomials

Franz Peherstorfer and Robert Steinbauer

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 1.76 MB

english, 1996

22

On the Distribution of Extremal Points of General Chebyshev Polynomials

András Kroó and Franz Peherstorfer

Journal:

Transactions of the American Mathematical Society

Year:

1992

Language:

english

File:

PDF, 1.49 MB

english, 1992

23

Positive trigonometric quadrature formulas and quadrature on the unit circle

Peherstorfer, Franz

Journal:

Mathematics of Computation

Year:

2011

Language:

english

File:

PDF, 260 KB

english, 2011

24

Elliptic Orthogonal and Extremal Polynomials

Peherstorfer, F.

Journal:

Proceedings of the London Mathematical Society

Year:

1995

Language:

english

File:

PDF, 1.06 MB

english, 1995

25

A New Simple Class of Rational Functions whose Julia Set is the whole Riemann Sphere

Inninger, C., Peherstorfer, F.

Journal:

Journal of the London Mathematical Society

Year:

2002

Language:

english

File:

PDF, 216 KB

english, 2002

26

ASYMPTOTIC REPRESENTATION OF ZOLOTAREV POLYNOMIALS

PEHERSTORFER, FRANZ

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 173 KB

english, 2006

27

EXPLICIT RATIONAL FUNCTIONS WHOSE JULIA SETS ARE JORDAN ARCS

INNINGER, CLEMENS, PEHERSTORFER, FRANZ

Journal:

Journal of the London Mathematical Society

Year:

2004

Language:

english

File:

PDF, 214 KB

english, 2004

28

Detecting and Adapting to Parameter Changes for Reduced Models of Dynamic Data-driven Application Systems

Peherstorfer, Benjamin, Willcox, Karen

Journal:

Procedia Computer Science

Year:

2015

Language:

english

File:

PDF, 2.01 MB

english, 2015

29

Zeros of linear combinations of orthogonal polynomials

Peherstorfer, Franz

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1995

Language:

english

File:

PDF, 610 KB

english, 1995

30

Data-driven operator inference for nonintrusive projection-based model reduction

Peherstorfer, Benjamin, Willcox, Karen

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2016

Language:

english

File:

PDF, 748 KB

english, 2016

31

Dynamic data-driven model reduction: adapting reduced models from incomplete data

Benjamin Peherstorfer,Karen Willcox

Journal:

Advanced Modeling and Simulation in Engineering Sciences

Year:

2016

Language:

english

File:

PDF, 2.58 MB

english, 2016

32

Projection-based model reduction:Formulations for physics-based machine learning

Swischuk, Renee, Mainini, Laura, Peherstorfer, Benjamin, Willcox, Karen

Journal:

Computers & Fluids

Year:

2018

Language:

english

File:

PDF, 2.86 MB

english, 2018

33

Automorphic Orthogonal and Extremal Polynomials

Lukashov, A. L., Peherstorfer, F.

Journal:

Canadian Journal of Mathematics

Year:

2003

Language:

english

File:

PDF, 312 KB

english, 2003

34

Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems

Qian, Elizabeth, Kramer, Boris, Peherstorfer, Benjamin, Willcox, Karen

Journal:

Physica D: Nonlinear Phenomena

Year:

2020

Language:

english

File:

PDF, 696 KB

english, 2020

35

Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Approximation Theory

Year:

1997

Language:

english

File:

PDF, 2.92 MB

english, 1997

36

Orthogonal Polynomials on the Circumference and Arcs of the Circumference

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Approximation Theory

Year:

2000

Language:

english

File:

PDF, 193 KB

english, 2000

37

Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients: II. Weak Asymptotics

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Approximation Theory

Year:

2000

Language:

english

File:

PDF, 192 KB

english, 2000

38

On the representation of extremal functions in the L1-norm

Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

1979

Language:

english

File:

PDF, 629 KB

english, 1979

39

On the connection of Posse's L1- and Zolotarev's maximum-norm problem

Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

1991

Language:

english

File:

PDF, 613 KB

english, 1991

40

On Bernstein-Szegö orthogonal polynomials on several intervals. II. Orthogonal polynomials with periodic recurrence coefficients

Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

1991

Language:

english

File:

PDF, 1.83 MB

english, 1991

41

On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas

Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

1992

Language:

english

File:

PDF, 1.51 MB

english, 1992

42

Finite perturbations of orthogonal polynomials

Franz Peherstorfer

Journal:

Journal of Computational and Applied Mathematics

Year:

1992

Language:

english

File:

PDF, 1.78 MB

english, 1992

43

Orthogonal and extremal polynomials on several intervals

Franz Peherstorfer

Journal:

Journal of Computational and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 1.27 MB

english, 1993

44

Zeros of polynomials orthogonal on two arcs of the unit circle

A.L. Lukashov, F. Peherstorfer

Journal:

Journal of Approximation Theory

Year:

2005

Language:

english

File:

PDF, 392 KB

english, 2005

45

Almost periodic Verblunsky coefficients and reproducing kernels on Riemann surfaces

F. Peherstorfer, P. Yuditskii

Journal:

Journal of Approximation Theory

Year:

2006

Language:

english

File:

PDF, 203 KB

english, 2006

46

Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and -minimal polynomials,

Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 225 KB

english, 2009

47

Note on “Rational compacts and exposed quadratic irrationalities” by Sergey Khrushchev

Franz Peherstorfer, Robert Steinbauer

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 209 KB

english, 2009

48

Explicit min–max polynomials on the disc

Ionela Moale, Franz Peherstorfer

Journal:

Journal of Approximation Theory

Year:

2011

Language:

english

File:

PDF, 269 KB

english, 2011

49

Orthogonal polynomials on several intervals: Accumulation points of recurrence coefficients and of zeros

F. Peherstorfer

Journal:

Journal of Approximation Theory

Year:

2011

Language:

english

File:

PDF, 345 KB

english, 2011

50

CMV matrices with asymptotically constant coefficients. Szegö–Blaschke class, scattering theory

F. Peherstorfer, A. Volberg, P. Yuditskii

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 414 KB

english, 2009