Date of Online Publication: 22/12/2006 Keywords: multivariate numerical integration, quadrature, cubature, lattice rules Authors: R. Cools, D. Nuyens Pages: 257-272 An overview is presented of the role played by structured matrices in the construction of lattice rules for numerical integration. Two methods which make use of (skew-)circulant matrices are discussed. The first method is for […]
Primitive Recursion and – – Recursivity Date of Online Publication: 22/12/2006 Keywords: Recursive Functions Theory, Mathematical Analysis, Automata Theory. Authors: A. Garrido Pages: 273-280 We analyze the different types of recursivity and their mutual relationships. Finally, we will use the Ackermann – Peter function to prove that the – recursivity does not imply the primitive
Date of Online Publication: 22/12/2006 Keywords: Exponetial fitting, Stormer/Verlet, oscillating problems, Schrodinger equations Authors: G. Vanden Berghe and M. Van Daele Pages: 241-255 Exponentially- fitted St�rmer/Verlet methods are constructed taking into account a six-step flow chart. It is shown that the thus constructed methods, when applied to strongly oscillating problems, are equivalent respectively to Gautschi
Date of Online Publication: 22/12/2006 Keywords: Stability, biorthogonal, multiresolution, non separable, video compression, quantization Authors: S. Amat, S. Busquier, J.C.Trillo Pages: 229-239 Multiresolution transforms are powerful tools in video processing applications because of its exibility in representing nonstationary signals. For a proper adaptation to the singularities, it is crucial to develop nonlinear schemes. In these