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Sparse spectral approximations for computing polynomial functionals
We give a new fast method for evaluating sprectral approximations of nonlinear polynomial functionals. We prove that the new algorithm is convergent if the functions... -
Numerical Methods for nonlinear dynamical systems. Application to self-sustai...
Periodic solutions of nonlinear dynamical systems are the focus of this work. We compute periodic solutions through a BVP formulation, solved with two numerical... -
Numerical approximation of free boundary problem arising in electromagnetic s...
We approximate numerically the section of a column of liquid metal submitted to an external electromagnetic field. The bidimensional model used here leads us to solve... -
A nonlinear boundary value problem solved by spectral methods
We study a nonlinear boundary value problem posed in the interior or the exterior of the unit disk in R2. Using capacity operator, we transform it into a... -
Binary systems of compact objects : neutron stars, strange quark stars and bl...
The detection of gravitational waves by ground-based laser interferometers, such as VIRGO or LIGO, or in space with LISA will be greatly facilitated by having a prior... -
Numerical Study of Non-linear Dispersive Partial Differential Equations.
Numerical analysis becomes a powerful resource in the study of partial differential equations (PDEs), allowing to illustrate existing theorems and find conjectures. By... -
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre eq...
28 pages, 16 figures, 75 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/ -
Contribution to numerical study of rotating flows with walls. An application ...
The Taylor-Couette system, consisting of shear flow between differentially rotating concentric cylinders, has been investigated experimentally and numerically in great... -
An implicit pseudospectral multi-domain method for the simulation of incompre...
International audience -
Monte Carlo approximations of the Neumann problem
Accepted for publication -
The conformal-mapping method for surface gravity waves in the presence of var...
13 pages, 4 figures, 14 references. Other author's papers can be found at http://www.denys-dutykh.com/ -
Effect of schmidt number on the structure and propagation of density currents
International audience -
Fatigue behavior under vibration environment : Taking into account the plasti...
Mechanical structures are often subjected to random vibrations due to external forces (forces, acceleration...). Improving the safety of structures and reducing... -
Empirical Mode Decomposition: Contribution to Mathematical Modeling and Appli...
The EMD technique is a new tool for representing non linear and non-stationary signal as a sum of components called Intrinsic Mode Functions (IMF). The EMD... -
Introduction to spectral methods
20 pages, 15 figures -
Transport de neutrinos dans les supernovas gravitationnelles
This thesis is about numerical simulations of core collapse supernovae, with an accent on the neutrino transport problem. Neutrinos play a central role in the... -
A pseudo-spectral solution of vorticity-stream function equations using the i...
International audience
