# Publications NINES

## 1990

#### Articles in internationally reviewed journals

3 references- Cools, Ronald; Haegemans, Anny. A lower bound for the number of function evaluations in an error estimate for numerical-integration, Constructive Approximation, volume 6, issue 4, pages 353-361, 1990
- Levrie, Paul; Piessens, Robert. Using QR-decompositions in the numerical solution of linear recurrence relations, Applicable Analysis, volume 37, issue 1-4, pages 199-212, 1990
- Verlinden, Pierre; Haegemans, Anny. The construction of cubature formulas by continuation, Computing, volume 45, issue 2, pages 145-155, 1990

#### Books, internationally recognised scientific publisher; as editor

1 reference- Goovaerts, Marc; Piessens, Robert; Broeckx, F.; Wuytack, Luc (eds.), Proceedings of the third ICCAM, 3rd ICCAM, Leuven, Belgium, 23-28 July 1988, North-Holland, 1990

#### Papers at international conferences and symposia, published in full in proceedings

7 references- Cools, Ronald; Haegemans, Anny. The construction of cubature formulae using continuation and bifurcation software, Roose, Dirk; De Dier, Bart; Spence, Alastair (eds.), NATO Advanced Research Workshop on Continuation and Bifurcations: Numerical Techniques and Applications, Leuven, Belgium, 18-22 September 1989, Continuation and Bifurcations: Numerical Techniques and Applications, pages 319-333, Kluwer Academic Publishers, 1990
- Goovaerts, Danny; Piessens, Robert. Parallel efficiency of domain decomposed incomplete factorizations, Kuzntsov, Yuri (ed.), Moscow, Proceedings of the Forth International Symposium on Domain Decomposition Methods, 1990
- Goovaerts, Danny; Piessens, Robert. Implementation of domain decomposition preconditioners on an iPSC/2, Joubert, G.R.; Evans, D.J.; Peters, F.J (eds.), Parallel Computing 1989 - Proceedings of the International Conference, pages 73-78, 1990
- Goovaerts, Marc; Broeckx, F.; Piessens, Robert; Wuytack, L.. Proceedings of the 4th International Congress on Computational and Applied Mathematics (I.C.C.A.M.), Leuven, July 1990, North-Holland, 1990
- Vandewalle, Stefan; Piessens, Robert. A parallel and vectorizable algorithm for solving parabolic partial differential equations, Hackbusch, W (ed.), Parallel Algorithms for PDEs, pages 216-227, 1990
- Vandewalle, Stefan; Piessens, Robert. A comparison of the Crank-Nicolson and waveform relaxation multigrid methods on the Intel hypercube, Mandel, J.; McCormick, S.; Dendy, J.; Farhat, C.; Lonsdale, G.; Parter, J.; Ruge, J.; Stuben, K (eds.), Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods, pages 417-434, 1990
- Vandewalle, Stefan; Van Driessche, Raf; Piessens, Robert. The implementation of parabolic partial differential equation solvers on a hypercube multiprocessor, Evans, D.J.; Joubert, G.R.; Peters, F.S (eds.), Proceedings of Parallel Computing 89, pages 61-66, 1990

#### Thesis

1 reference- Goovaerts, Danny. Domain decomposition methods for elliptic partial differential equations, PhD thesis, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 1990, Piessens, Robert (supervisor)

#### Internal reports

8 references- Beckers, Marc; Haegemans, Anny. The construction of cubature formulae for the tetrahedron, TW Reports, volume TW128, 30 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, January 1990
- Cools, Ronald; Haegemans, Anny. An embedded family of cubature formulae for n-dimensional product regions, TW Reports, volume TW132, 14 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, June 1990
- Vandewalle, Stefan; Piessens, Robert. Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor, TW Reports, volume TW142, 12 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, November 1990
- Vandewalle, Stefan; Piessens, Robert. Efficient parallel algorithms for solving initial-boundary value and time-periodic parabolicpartial differential equations, TW Reports, volume TW139, 16 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, November 1990
- Verbeke, Johan; Haegemans, Anny. De reële en complexe GAOR-methode, TW Reports, volume TW144, 24 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, December 1990
- Verlinden, Pierre; Cools, Ronald. Minimal cubature formulae of degree 4k+1 for integrals with circular symmetry, TW Reports, volume TW137, 24 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, October 1990
- Verschelde, Jan; Beckers, Marc; Haegemans, Anny. A new start system for solving deficient polynomial systems using continuation methods, TW Reports, volume TW138, 13 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, October 1990
- Verschelde, Jan; Cools, Ronald. Nonlinear reduction for solving deficient polynomial systems by continuation methods, TW Reports, volume TW141, 21 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, November 1990

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