BookDOI
Numerische Mathematik 1
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The article was published on 1989-01-01. It has received 2186 citations till now.read more
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Book ChapterDOI
Fast Interpolation and Fourier Transform in High-Dimensional Spaces
TL;DR: This article proposes a quadratic-time solution of the Multivariate Polynomial Interpolation Problem (PIP), and formulate an algorithm for determining the N(m, n) Fourier coefficients with positive frequency of the Fourier series of f up to order n in the same amount of computational time and storage.
Journal ArticleDOI
Paralic Confinement: Models and Simulations
Emmanuel Frénod,Antoine Rousseau +1 more
TL;DR: The existing model of confinement of paralic ecosystems is improved in order to account for tide oscillations in any kind of geometry such as non-rectangular lagoons with a non-flat bottom, and a new model is introduced that relies on PDEs rather than ODEs is implemented thanks to the finite element method.
Journal ArticleDOI
Numerical Methods for Approximating Invariant Manifolds of Delayed Systems
TL;DR: New methods for computing k-dimensional invariant manifolds of delayed systems for large delays are developed and bounds on errors incurred by the most natural of these approximations are derived.
Journal ArticleDOI
A Truncated Newton Method for the Solution of Large-Scale Inequality Constrained Minimization Problems
TL;DR: A new active set Newton-type algorithm for the solution of inequality constrained minimization problems is proposed to show viability of the approach in large scale problems having only a limited number of constraints.