Publications

Selected Talks

A. Cuyt et al. Rational approximation theory in computational science and engineering.

A. Cuyt, et al. Continued Fractions for Special Functions: Handbook and Software.

A. Cuyt, et al. Reliable multiprecision implementation of a class of special functions.

A. Cuyt, R.B. Lenin, S. Becuwe and B. Verdonk. Adaptive multivariate rational data fitting with applications in metamodelling.

A. Cuyt and R.B. Lenin. Cell loss in multiplexer models.

A. Cuyt, G. Golub, P. Milanfar and B. Verdonk. Shape reconstruction from moment information.

O. Salazar-Celis and A. Cuyt. Symbolic versus Interval Rational Interpolation: The Problem of Unattainable Data.

F. Backeljauw. A Contribution to the Reliable Evaluation of Mathematical Functions.

J. Van Deun. Near best rational approximation and spectral methods.

S. Becuwe and A. Cuyt. Hoe betrouwbaar zijn onze (grafische) rekenmachines? (in Dutch).

S. Becuwe and A. Cuyt. De interne werking van rekentoestellen en computers (in Dutch).

A. Cuyt. Hoe meer flops, hoe liever. Mag het een bitje meer zijn? (in Dutch).

Books ― Proceedings

Numerical validation in current hardware architectures. Cuyt A, Krämer W, Luther W, Markstein P, editors. Berlin: LNCS 5492, Springer Verlag; 2009.
Cuyt A, Brevik Petersen V, Verdonk B, Waadeland H, Jones WB. Handbook of Continued Fractions for Special Functions. Berlin: Springer; 2008.
International Conference on Rational Approximation. Proceedings ICRA99. Vol 61(1–3). Cuyt A, Verdonk B, editors. Dordrecht: Kluwer; 2000. (Acta Appl. Math.; vol 61(1–3)).
Computational methods from Rational approximation theory. Vol 24(1–2). Cuyt A, editor. Basel: Baltzer Science Publ.; 2000. (Numer. Algorithms; vol 24(1–2)).
Nonlinear numerical methods and rational approximation II. Cuyt A, editor. Dordrecht: Kluwer; 1994.
Rational approximation theory: a state of the art. Cuyt A, editor. Dordrecht: Kluwer; 1993.
Nonlinear numerical methods and rational approximation. Cuyt A, editor. Dordrecht: Reidel; 1988.
Cuyt A, Wuytack L. Nonlinear methods in numerical analysis. Amsterdam: North-Holland; 1987.
Cuyt A. Padé approximants for operators: theory and applications. Berlin: LNM 1065, Springer Verlag; 1984.

Technical Reports

Cuyt A, Benouahmane B, Hamsapriye, Yaman I. Symbolic-numeric Gaussian cubature Rules.; 2010.
Cuyt A, Salazar Celis O, Lukach M. Stable multidimensional recursive filters via quadratic programming. University of Antwerp; 2009.
Colman M, Cuyt A, Van Deun J. Validated computation of certain hypergeometric functions. University of Antwerp; 2009.
Cuyt A, Yang X. A practical error formula for multivariate rational interpolation and approximation. University of Antwerp; 2009.
Allouche H, Cuyt A. Reliable pole detection using a deflated qd-algorithm: when Bernoulli, Hadamard and Rutishauser cooperate. Univ. Antwerp; 2001.

International Papers

Lenin RB, Cuyt A, Yoshigoe K, Ramaswamy S. Computing packet loss probabilities of D-BMAP/PH/1/N queues with group services. Performance Evaluation. 2010;67:160-73.
Cuyt A. Approximation Theory. In: Wah BW, editor. Encyclopedia of Computer Science and Engineering. John Wiley & Sons; 2009. p. 163-71.
Cuyt A, Backeljauw F, Becuwe S, Colman M, Docx T, Van Deun J. Continued fractions for special functions: Handbook and Software. In: Cuyt A, Kraemer W, Luther W, Markstein P, editors. LNCS. Vol 5492. Berlin: Springer-Verlag; 2009. p. 27-40.
Cuyt A, Lee W-. Symbolic-numeric sparse interpolation of multivariate rational functions. In: ACM Commun. Comput. Algebra. Vol 43.; 2009. p. 79-80.
Cuyt A, Lee W-. Sparse multivariate polynomial interpolation via the quotient-difference algorithm. In: ACM Commun. Comput. Algebra. Vol 42.; 2009. p. 154-5.
Cuyt A, Lee W-. Extracting numerical factors of multivariate polynomials from taylor expansions. In: Kai H, Sekigawa H, editors. SNC '09: Proceedings of the 2009 conference on {S}ymbolic-{N}umeric computation.; 2009. p. 35-44.
Backeljauw F, Cuyt A. Algorithm 895: A continued fractions package for special functions. ACM Trans. Math. Software. 2009;36.
Zhou P, Cuyt A, Tan J. General order multivariate Padé approximants for pseudo-multivariate functions II. Math. Comp.. 2009;78:2137-55.
Salazar Celis O, Cuyt A, Van Deun J. Symbolic and interval rational interpolation: the problem of unattainable data. In: Simos TE, Psihoyios G, Tsitouras C, editors. International conference on numerical analysis and applied mathematics. Vol 1048.; 2008. p. 466-9. (AIP Conference Proceedings; vol 1048).
Backeljauw F, Becuwe S, Cuyt A. Validated evaluation of Special Mathematical Functions. In: Autexier S, Campbell J, Rubio J, Sorge V, Suzuki M, Wiedijk F, editors. Intelligent Mathematics.; 2008. p. 206-16.
Cuyt A, Lee W-. A New Algorithm for Sparse Interpolation of Multivariate Polynomials. Theoret. Comput. Sci.. 2008;409:180-5.