Volume 01

The Role of Structured Matrices for the Construction of Integration Lattices

Issue 3 Volume 01

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 […]

PREFACE_1

Issues 1-2 Volume 01

J. Cash Department of Mathematics, Imperial College of Science, Technology and Medicine, London, SW7 2AZ, United Kingdom   Download PDF

BS Linear Multistep Methods on Non-uniform Meshes

Issues 1-2 Volume 01

Date of Online Publication: 26/08/2006 Keywords: Boundary Value Problems, Ordinary Differential Equations, B-Splines, Spline Collocation, Boundary Value Methods Authors: Francesca Mazzia, Alessandra Sestini and Donato Trigiante Pages: 131-144 BS methods are a special class of Linear Multistep Methods defined using B-spline functions. These methods are always convergent and have good stability properties when used as

Primitive Recursion and – Recursivity

Issue 3 Volume 01

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

Exponentially- fitted St�rmer-Verlet methods

Issue 3 Volume 01

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

Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems

Issues 1-2 Volume 01

Date of Online Publication: 26/08/2006 Keywords: Boundary Value Problems, Mesh Selection, Conditioning Authors: Jeff R. Cash and Francesca Mazzia Pages: 81-90 In this paper we demonstrate how hybrid mesh selection strategies based on conditioning can be used in codes designed for the numerical solution of singularly perturbed boundary value problems. The new mesh selection strategies

Stability and Conditioning in Numerical Analysis

Issues 1-2 Volume 01

Date of Online Publication: 26/08/2006 Keywords: Conditioning, stability, stiffness, dynamical systems, boundary value problems, ordinary differential equations, numerical linear algebra Authors: Felice Iavernaro, Francesca Mazzia and Donato Trigiante Pages: 91-112 The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All of them have in common the general concept of

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