Annie A. M. Cuyt

Numer. Algorithms, January, 2024

Mechanism Design Optimization through CAD-Based Bayesian Optimization and Quantified Constraints.

[BibT_eX]

[DOI]

Abdelmajid Ben Yahya

Santiago Ramos Garces

Nick Van Oosterwyck

Stijn Derammelaere

CoRR, 2024

DLMF Standard Reference Tables on Demand.

[BibT_eX]

[DOI]

Bonita V. Saunders

Sean Brooks

Ron Buckmire

Rachel E. Vincent-Finley

Proceedings of the Mathematical Software - ICMS 2024, 2024

2023

On the robustness of exponential base terms and the Padé denominator in some least squares sense.

[BibT_eX]

[DOI]

Ferre Knaepkens

Numer. Algorithms, January, 2023

On the conditioning of some structured generalized eigenvalue problems.

[BibT_eX]

[DOI]

Naomi Flamand

Ferre Knaepkens

Maple Trans., 2023

2022

Validated analysis of modulated signals: From de Prony to Padé and beyond.

[BibT_eX]

[DOI]

Yuan Hou

J. Comput. Appl. Math., 2022

Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221).

[BibT_eX]

[DOI]

Dagstuhl Reports, 2022

Energy Optimal Point-to-Point Motion Profile Optimization.

[BibT_eX]

[DOI]

CoRR, 2022

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study.

[BibT_eX]

[DOI]

CoRR, 2022

2021

An Interview with the Authors: Log-Lightning Computation, and Some Instructive Mathematical Errors.

[BibT_eX]

[DOI]

Maple Trans., 2021

Decomposing Textures using Exponential Analysis.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2021

2020

VEXPA: Validated EXPonential Analysis through regular sub-sampling.

[BibT_eX]

[DOI]

Signal Process., 2020

Sparse Multidimensional Exponential Analysis with an Application to Radar Imaging.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

Parametric spectral analysis: scale and shift.

[BibT_eX]

[DOI]

CoRR, 2020

What do sparse interpolation, padé approximation, gaussian quadrature and tensor decomposition have in common?

[BibT_eX]

[DOI]

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

CAD Based Trajectory optimization of PTP Motions using Chebyshev Polynomials.

[BibT_eX]

[DOI]

Proceedings of the IEEE/ASME International Conference on Advanced Intelligent Mechatronics, 2020

2018

Deterministic sparse FFT for M-sparse vectors.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

A scale and shift paradigm for sparse interpolation in one and more dimensions.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2018

Faint and clustered components in exponential analysis.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2018

Multivariate exponential analysis from the minimal number of samples.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2018

From Exponential Analysis to Padé Approximation and Tensor Decomposition, in One and More Dimensions.

[BibT_eX]

[DOI]

Ferre Knaepkens

Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017

Sparse Interpolation, the FFT Algorithm and FIR Filters.

[BibT_eX]

[DOI]

Matteo Briani

Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

2016

Analytic models for parameter dependency in option price modelling.

[BibT_eX]

[DOI]

Numer. Algorithms, 2016

Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points.

[BibT_eX]

[DOI]

Bayram Ali Ibrahimoglu

Exp. Math., 2016

2015

Sparse modelling and multi-exponential analysis (Dagstuhl Seminar 15251).

[BibT_eX]

[DOI]

Dagstuhl Reports, 2015

Determining and benchmarking risk neutral distributions implied from option prices.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

Numerical reconstruction of convex polytopes from directional moments.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2015

2014

Validated evaluation of special mathematical functions.

[BibT_eX]

[DOI]

Sci. Comput. Program., 2014

Multidimensional IIR filters and robust rational interpolation.

[BibT_eX]

[DOI]

Oliver Salazar Celis

Maryna Lukach

Multidimens. Syst. Signal Process., 2014

2013

Sparse reconstruction of correlated multichannel activity.

[BibT_eX]

[DOI]

Sem Peelman

Joachim van der Herten

Proceedings of the 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2013

2012

Rational BRDF.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2012

Radial orthogonality and Lebesgue constants on the disk.

[BibT_eX]

[DOI]

Irem Yaman

Bayram Ali Ibrahimoglu

Numer. Algorithms, 2012

2011

Validated computation of certain hypergeometric functions.

[BibT_eX]

[DOI]

Michel Colman

Joris Van Deun

ACM Trans. Math. Softw., 2011

Sparse interpolation of multivariate rational functions.

[BibT_eX]

[DOI]

Theor. Comput. Sci., 2011

Comonotone and coconvex rational interpolation and approximation.

[BibT_eX]

[DOI]

Hoa Thang Nguyen

Oliver Salazar Celis

Numer. Algorithms, 2011

2010

Computing packet loss probabilities of D-BMAP/PH/1/N queues with group services.

[BibT_eX]

[DOI]

Perform. Evaluation, 2010

A practical error formula for multivariate rational interpolation and approximation.

[BibT_eX]

[DOI]

Xianglan Yang

Numer. Algorithms, 2010

Reconstructing sparse trigonometric functions.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2010

Validated Special Functions Software.

[BibT_eX]

[DOI]

Proceedings of the Mathematical Software, 2010

2009

Algorithm 895: A continued fractions package for special functions.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2009

General order multivariate Padé approximants for Pseudo-multivariate functions. II.

[BibT_eX]

[DOI]

Ping Zhou

Jieqing Tan

Math. Comput., 2009

Symbolic-numeric sparse interpolation of multivariate rational functions.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2009

Extracting numerical factors of multivariate polynomials from taylor expansions.

[BibT_eX]

[DOI]

Proceedings of the Symbolic Numeric Computation, 2009

2008

Approximation Theory.

[BibT_eX]

[DOI]

Proceedings of the Wiley Encyclopedia of Computer Science and Engineering, 2008

Algorithm 871: A C/C++ precompiler for autogeneration of multiprecision programs.

[BibT_eX]

[DOI]

Walter Schreppers

ACM Trans. Math. Softw., 2008

A new algorithm for sparse interpolation of multivariate polynomials.

[BibT_eX]

[DOI]

Theor. Comput. Sci., 2008

Sparse multivariate polynomial interpolation via the quotient-difference algorithm.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2008

08021 Abstracts Collection - Numerical Validation in Current Hardware Architectures.

[BibT_eX]

[DOI]

Proceedings of the Numerical Validation in Current Hardware Architectures, 6.1., 2008

08021 Summary - Numerical Validation in Current Hardware Architectures.

[BibT_eX]

[DOI]

Proceedings of the Numerical Validation in Current Hardware Architectures, 6.1., 2008

Continued Fractions for Special Functions: Handbook and Software.

[BibT_eX]

[DOI]

Proceedings of the Numerical Validation in Current Hardware Architectures, 2008

Validated Evaluation of Special Mathematical Functions.

[BibT_eX]

[DOI]

Proceedings of the Intelligent Computer Mathematics, 9th International Conference, 2008

Handbook of Continued Fractions for Special Functions.

[BibT_eX]

[DOI]

Vigidis Brevik Petersen

Haakon Waadeland

William B. Jones

Springer, ISBN: 978-1-4020-6948-2, 2008

2007

Rational approximation of vertical segments.

[BibT_eX]

[DOI]

Oliver Salazar Celis

Numer. Algorithms, 2007

Stable multi-dimensional model reduction and IIR filter design.

[BibT_eX]

[DOI]

Jilali Abouir

Int. J. Comput. Sci. Math., 2007

Orthogonality Measures and Applications in Systems Theory in One and More Variables.

[BibT_eX]

[DOI]

Adhemar Bultheel

Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006

Efficient and Reliable Multiprecision Implementation of Elementary and Special Functions.

[BibT_eX]

[DOI]

Haakon Waadeland

SIAM J. Sci. Comput., 2006

On the fast solution of Toeplitz-block linear systems arising in multivariate approximation theory.

[BibT_eX]

[DOI]

Numer. Algorithms, 2006

General order multivariate Padé approximants for pseudo-multivariate functions.

[BibT_eX]

[DOI]

Jieqing Tan

Ping Zhou

Math. Comput., 2006

Towards Reliable Software for the Evaluation of a Class of Special Functions.

[BibT_eX]

[DOI]

Proceedings of the Mathematical Software, 2006

2005

Multidimensional Integral Inversion, with Applications in Shape Reconstruction.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2005

A Constructive Criticism of the C/C++ Proposal for Complex Arithmetic.

[BibT_eX]

[DOI]

Reliab. Comput., 2005

Blending Set and Interval Arithmetic for Maximal Reliability.

[BibT_eX]

[DOI]

J. Vervloet

Computing, 2005

Explicit construction of general multivariate Padé approximants to an Appell function.

[BibT_eX]

[DOI]

Peter B. Borwein

Ping Zhou

Adv. Comput. Math., 2005

MPL: A Multiprecision Matlab - Like Environment.

[BibT_eX]

[DOI]

Walter Schreppers

Proceedings of the Computational Science, 2005

2004

Combining the Radon, Markov, and Stieltjes Transforms for Object Reconstruction.

[BibT_eX]

[DOI]

Proceedings of the Computational Science, 2004

Spherical Orthogonal Polynomials and Symbolic-Numeric Gaussian Cubature Formulas.

[BibT_eX]

[DOI]

Proceedings of the Computational Science, 2004

2003

Computing Packet Loss Probabilities in Multiplexer Models Using Rational Approximation.

[BibT_eX]

[DOI]

IEEE Trans. Computers, 2003

Multivariate Two-Point Padé-Type and Two-Point Padé Approximants.

[BibT_eX]

[DOI]

Jilali Abouir

Ramón Orive

Numer. Algorithms, 2003

Multivariate Rational Interpolation of Scattered Data.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2001

A precision- and range-independent tool for testing floating-point arithmetic II: conversions.

[BibT_eX]

[DOI]

Dennis Verschaeren

ACM Trans. Math. Softw., 2001

A precision- and range-independent tool for testing floating-point arithmetric I: basic operations, square root, and remainder.

[BibT_eX]

[DOI]

Dennis Verschaeren

ACM Trans. Math. Softw., 2001

Multivariate Rational Approximants for Multiclass Closed Queuing Networks.

[BibT_eX]

[DOI]

R. B. Lenin

IEEE Trans. Computers, 2001

Properties of Multivariate Homogeneous Orthogonal Polynomials.

[BibT_eX]

[DOI]

J. Approx. Theory, 2001

A Remarkable Example of Catastrophic Cancellation Unraveled.

[BibT_eX]

[DOI]

Computing, 2001

Symbolic-Numeric QD-Algorithms with Application in Function Theory and Linear Algebra.

[BibT_eX]

[DOI]

Proceedings of the Symbolic Algebraic Methods and Verification Methods, 2001

2000

Computational methods from rational approximation theory.

[BibT_eX]

[DOI]

Numer. Algorithms, 2000

Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature.

[BibT_eX]

[DOI]

Numer. Algorithms, 2000

1999

Exploring multivariate Padé approximants for multiple hypergeometric series.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1999

On the Froissart phenomenon in multivariate homogeneous Padé approximation.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1999

1997

On the Need for Predictable Floating-Point Arithmetic in the Programming Languages Fortran 90 and C/C++.

[BibT_eX]

[DOI]

Dennis Verschaeren

ACM SIGPLAN Notices, 1997

Floating-point versus Symbolic Computations in theQD-algorithm.

[BibT_eX]

[DOI]

J. Symb. Comput., 1997

1994

Singular rules for a multivariate quotient-difference algorithm.

[BibT_eX]

[DOI]

Hassane Allouche

Numer. Algorithms, 1994

Well-defined determinant representations for non-normal multivariate rational interpolants.

[BibT_eX]

[DOI]

Hassane Allouche

Numer. Algorithms, 1994

1993

How Does PASCAL-XSC Compare to Other Programming Languages with Respect to the IEEE Standard?

[BibT_eX]

[DOI]

Pascal Janssens

ACM SIGPLAN Notices, 1993

1992

Multivariate rational data fitting: general data structure, maximal accuracy and object orientation.

[BibT_eX]

[DOI]

Numer. Algorithms, 1992

Model reduction of multidimensional linear shift-invariant recursive systems using Padé techniques.

[BibT_eX]

[DOI]

Shiro Ogawa

Multidimens. Syst. Signal Process., 1992

1985

Computational Implementation of the Multivariate Halley Method for Solving Nonlinear Systems of Equations.

[BibT_eX]

[DOI]

Louis B. Rall

ACM Trans. Math. Softw., 1985

Multivariate rational interpolation.

[BibT_eX]

[DOI]