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Faculté des mathématiques et de l'informatique
Doctora Mathématiques
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Doctora Mathématiques
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: Linear integral equations
1
adaptive spectral collocation method
1
Approximation spectrale, approximation rationnelle, polynômes de Jacobi cartographiés, interpolation
1
convergence analysis
1
Discontinuouspiecewisedifferentialsystem,limitcycle,linearcenter, (regular/ irregular)line,quadraticcenter,isochronouscenter,nilpotentcenter
1
Equations intégrales non lineaires, la méthode de collocation, approximation rationnelle, les polynômes de Legendre analyse de la convergence, la stabilité,
1
Equations intégro-différentielles, Fonctions de base radiales, Méthodes spectrale, Polynômes orthogonaux.
1
Euler-Bernoulli beam, Neutral delay, Boundary control, Viscoelasticity, General decay, Exponential stability, Lyapunov functionals
1
Fonctions de base radiale (RBF), interpolation multivariée, données dispersées, solution numérique.
1
Integral equations, Chebyshev polynomials, Infinite integral, Spectral methods.
1
mappings for improved accuracy
1
Piecewise differentialsystem,linearcenter,cubicreversibleisochronouscentershavingrational first integrals,Hamiltoniansystemwithlinearpluscubichomogeneoustermswithanilpotent saddle, limitcycle.
1
Piecewise differentialsystem,Linearcenter,Hamiltonianisochronousglobalcenter,Averaging theory,Pseudo-center,Phaseportrait
1
Polynomial differential system, limit cycles, global phase portraits, averaging method, linear Hamiltonian systems, centre systems, irredudible cubic curves, kukles differential system
1
Polynomial differential systems, invariant algebraic curves, limit cycles, global phase portraits, averaging method, linear Hamiltonian systems, irreducible cubic curves.
1
Radial Basis Functions (RBFs), multivariate interpolation, scattered data, numerical solution
1
spectral accuracy
1
Spectral approximation, rational approximation, mapped Jacobi polynomials, interpolation
1
Stochastic differentialequation,Brownianmotion,jumpdiffusion,spectral method, numericalsolution,collocationmethod. i
1
Syst`emesdiff´erentielsparmorceaux,centrelin´eaire,CentreglobalisochroneHamiltonien, Th´eoriedelamoyenne,Pseudo-centre,Portraitdephase.
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