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.
Computational methods from rational approximation theory. Vol 24(1–2). Cuyt A, editor. Basel: Baltzer Science Publ.; 2000. (Numerical Algorithms (special issue); vol 24(1–2)).
Proceedings of the International Conference on Rational Approximation {ICRA99}. Vol 61(1–3). Cuyt A, Verdonk B, editors. Dordrecht: Kluwer; 2000. (Acta Appl. Math. (special issue); vol 61(1–3)).
Nonlinear numerical methods and rational approximation II. Cuyt A, editor. Dordrecht: Kluwer; 1994. ("Mathematics and its Applications'').
Rational approximation theory: a state of the art. Vol 33(2–3). Cuyt A, editor. Dordrecht: Kluwer; 1993. (Acta Appl. Math. (special issue); vol 33(2–3)).
Nonlinear numerical methods and rational approximation. Cuyt A, editor. Dordrecht: Reidel; 1988. ("Mathematics and its Applications'').
Cuyt A, Wuytack L. Nonlinear methods in numerical analysis. Amsterdam: North-Holland; 1987. (Mathematics studies 136).
Cuyt A. Padé approximants for operators: theory and applications. Berlin: LNM 1065, Springer Verlag; 1984.

Technical Reports

Cuyt A, Yaman I, Ibrahimoglu A, Benouahmane B. Radial orthogonality and Lebesgue constants on the disk.; 2011.
Liang L, Salazar Celis O, Lemmens D, Tempere J, Cuyt A. Determining and benchmarking asset price distributions from option prices.; 2011.
Pacanowski R, Salazar Celis O, Schlick C, Granier X, Poulin P, Cuyt A. Rational BRDF.; 2011.
Cuyt A, Salazar Celis O, Lukach M. Multidimensional IIR filters and robust rational interpolation. University of Antwerp; 2009.

International Papers

Cuyt A, Benouahmane B, Hamsapriye, Yaman I. Symbolic-numeric Gaussian cubature Rules. Appl. Numer. Math.. 2011;61:929-45.
Nguyen HT, Cuyt A, O. S. Comonotone and coconvex rational interpolation and approximation. Numer. Algorithms. 2011;58:1-21.
Cuyt A, Lee W-. Sparse interpolation of multivariate rational functions. Theoret. Comput. Sci.. 2011;412:1445-56.
Colman M, Cuyt A, Van Deun J. Validated computation of certain hypergeometric functions. ACM Trans. Math. Software. 2011;38.
Cuyt A, Yang X. A practical error formula for multivariate rational interpolation and approximation. Numer. Algorithms. 2010;55:233-43.
Nguyen HT, Cuyt A, O. S. Shape control in multivariate barycentric rational interpolation. In: Simos TE, Psihoyios G, Tsitouras C, editors. International conference on numerical analysis and applied mathematics. Vol 1281.; 2010. p. 543-8. (AIP Conference Proceedings; vol 1281).
Cuyt A, Lee W-. Reconstructing sparse trigonometric functions. ACM Commun. Comput. Algebra. 2010;44:101-2.
Cuyt A, Backeljauw F, Becuwe S, Van Deun J. Validated Special Functions Software. In: Fukuda K, van der Hoeven J, Joswig M, Takayama N, editors. LNCS. Vol 6327. Berlin: Springer-Verlag; 2010. p. 32-4.
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.
Ludu A, Van Deun J, Milošević MV, Cuyt A, Peeters F. Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field. J. Math. Phys.. 2010;51:082903-1 – 082903-29.
Allouche H, Cuyt A. Reliable root detection with the qd-algorithm: when Bernoulli, Hadamard and Rutishauser cooperate. Appl. Numer. Math.. 2010;60:1188-208.
Backeljauw F, Cuyt A. Algorithm 895: A continued fractions package for special functions. ACM Trans. Math. Software. 2009;36.