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.
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)).
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)).
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

Ibrahimoglu B., Cuyt A. Sharp bounds for Lebesgue constants of barycentric rational interpolation. Universiteit Antwerpen; 2013.
Peelman S, van der Herten J, De Vos M, Lee W-, Van Huffel S, Cuyt A. Sparse reconstruction of correlated multichannel activity. Universiteit Antwerpen; 2013.
Backeljauw F, Becuwe S, Cuyt A, Van Deun J. Validated evaluation of special mathematical functions. Universiteit Antwerpen; 2012.
Cuyt A, Salazar Celis O, Lukach M. Multidimensional IIR filters and robust rational interpolation.; 2012.
Liang L, Salazar Celis O, Lemmens D, Tempere J, Cuyt A. Determining and benchmarking asset price distributions from option prices.; 2011.

International Papers

Salazar Celis O, Cuyt A, Deschrijver D, Vande Ginste D, Dhaene T. Macromodeling of high-speed interconnects by positive interpolation of vertical segments. Applied Mathematical Modelling. 2013;37:4874-82.
Cuyt A, Yaman I, Ibrahimoglu A, Benouahmane B. Radial orthogonality and Lebesgue constants on the disk. Numerical Algorithms. 2012;61:291-313.
Pacanowski R, Salazar Celis O, Schlick C, Granier X, Poulin P, Cuyt A. Rational BRDF. IEEE Transactions on Visualization and Computer Graphics. 2012;18:1824-35.
Deschrijver D, Dhaene T, Salazar Celis O, Cuyt A. Rational modeling algorithm for passive microwave structures and systems. In: Progress in industrial mathematics at ECMI 2010. Springer, Berlin; 2012. p. 37-43.
Cuyt A, Benouahmane B, Hamsapriye, Yaman I. Symbolic-numeric Gaussian cubature Rules. Appl. Numer. Math.. 2011;61:929-45.
Cuyt A, Lee W-. Sparse interpolation of multivariate rational functions. Theoret. Comput. Sci.. 2011;412:1445-56.
Nguyen HT, Cuyt A, Salazar Celis O. Comonotone and coconvex rational interpolation and approximation. Numer. Algorithms. 2011;58:1-21.
Colman M, Cuyt A, Van Deun J. Validated computation of certain hypergeometric functions. ACM Trans. Math. Software. 2011;38.
Cuyt A, Ibrahimoglu BA, Yaman I. Good interpolation points: learning from Chebyshev, Fekete, Haar and Lebesgue. In: Simos TE, Psihoyios G, Tsitouras C, editors. International conference on numerical analysis and applied mathematics. Vol 1389.; 2011. p. 1917-22. (AIP Conference Proceedings; vol 1389).
Nguyen HT, Cuyt A, Salazar Celis O. 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, Yang X. A practical error formula for multivariate rational interpolation and approximation. Numer. Algorithms. 2010;55:233-43.