Results 1 - 10 of 251

A HERMITE-TYPE ADAPTIVE SEMI-LAGRANGIAN SCHEME

by Michel Mehrenberger , Eric Violard , 2007
"... We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto and Mehrenberg ..."
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We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto

Non-oscillatory interpolation for the Semi-Lagrangian scheme

by Tomos Wyn Roberts
"... In this dissertation we are concerned with the study of various interpolation methods for use with the semi-lagrangian scheme. In particular we are interested in the limited form of the divided difference interpolation method as suggested by M.Berzins [1], because of its parallels with ENO type nume ..."
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In this dissertation we are concerned with the study of various interpolation methods for use with the semi-lagrangian scheme. In particular we are interested in the limited form of the divided difference interpolation method as suggested by M.Berzins [1], because of its parallels with ENO type

Conservative semi-Lagrangian schemes for Vlasov equations

by Nicolas Crouseilles, Michel Mehrenberger, Eric Sonnendrücker - J. Comput. Phys
"... Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and the traditional semi-Lagrangian ones are proven to be equivalent, but the conservative methods offer the possibil ..."
Abstract - Cited by 40 (16 self) - Add to MetaCart
the possibility to add adequate filters in order to ensure the positivity. In the non constant advection case, they present an alternative to the traditional semi-Lagrangian schemes which can suffer from bad mass conservation, in this time splitting setting.

A Hermite type adaptive semi-Lagrangian scheme, in "Int

by Michel Mehrenberger, Eric Violard - J. Appl. Math. Comput. Sci
"... We study a new Hermite type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grid are shown and compared with biquadratic Lagrange interpolation introduced in (Campos and Mehrenberger, 2004) in ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
We study a new Hermite type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grid are shown and compared with biquadratic Lagrange interpolation introduced in (Campos and Mehrenberger, 2004

DEPARTMENT OF MATHEMATICS Error Measurements for Semi-Lagrangian Schemes

by C. J. Smith
"... The semi-Lagrangian method is widely used in numerical weather models. The properties of the numerical solutions obtained by this method, depend strongly on the form of spatial interpolation used. In this report, several commonly used interpolants are reviewed and Fourier analysis is applied to the ..."
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The semi-Lagrangian method is widely used in numerical weather models. The properties of the numerical solutions obtained by this method, depend strongly on the form of spatial interpolation used. In this report, several commonly used interpolants are reviewed and Fourier analysis is applied

Semi-Lagrangian schemes for mean field game models

by E. Carlini, F. J. Silva
"... Abstract — In this work we consider first and second order Mean Field Games (MFGs) systems, introduced in [18], [19], [20]. For the first order case, we recall a fully-discrete Semi-Lagrangian (SL) scheme introduced in [9] and its main prop-erties. We propose the natural extension of this scheme for ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstract — In this work we consider first and second order Mean Field Games (MFGs) systems, introduced in [18], [19], [20]. For the first order case, we recall a fully-discrete Semi-Lagrangian (SL) scheme introduced in [9] and its main prop-erties. We propose the natural extension of this scheme

CONVERGENCE OF CLASSES OF HIGH-ORDER SEMI-LAGRANGIAN SCHEMES FOR THE VLASOV–POISSON SYSTEM

by Nicolas Besse, Michel Mehrenberger
"... Abstract. In this paper we present some classes of high-order semi-Lagrangian schemes for solving the periodic one-dimensional Vlasov-Poisson system in phase-space on uniform grids. We prove that the distribution function f(t, x, v) and the electric field E(t, x) convergeintheL2norm with a rate of O ..."
Abstract - Cited by 14 (6 self) - Add to MetaCart
Abstract. In this paper we present some classes of high-order semi-Lagrangian schemes for solving the periodic one-dimensional Vlasov-Poisson system in phase-space on uniform grids. We prove that the distribution function f(t, x, v) and the electric field E(t, x) convergeintheL2norm with a rate

A Semi-Lagrangian Scheme for the Game p-Laplacian via p-averaging

by unknown authors
"... We present and analyze an approximation scheme for the two-dimensional game p-Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian scheme which exploits the idea of p-averages. We study the properties of the scheme and prove that it converges, in par-tic ..."
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We present and analyze an approximation scheme for the two-dimensional game p-Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian scheme which exploits the idea of p-averages. We study the properties of the scheme and prove that it converges, in par

Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system

by Martin Campos Pinto, Michel Mehrenberger , 2007
"... An adaptive semi-Lagrangian scheme for solving the Cauchy problem associated to the periodic 1+1-dimensional Vlasov-Poisson system in the two-dimensional phase space is proposed and analyzed. A key feature of our method is the accurate evolution of the adaptive mesh from one time step to the next on ..."
Abstract - Cited by 8 (3 self) - Add to MetaCart
An adaptive semi-Lagrangian scheme for solving the Cauchy problem associated to the periodic 1+1-dimensional Vlasov-Poisson system in the two-dimensional phase space is proposed and analyzed. A key feature of our method is the accurate evolution of the adaptive mesh from one time step to the next

A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions

by Yves Achdou, Maurizio Falcone , 2011
"... A numerical method for mean curvature motion in bounded domains with nonlinear Neumann boundary conditions is proposed and analyzed. It consists of a semi-Lagrangian scheme in the main part of the domain as proposed by Carlini, Falcone and Ferretti, combined with a finite difference scheme in small ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
A numerical method for mean curvature motion in bounded domains with nonlinear Neumann boundary conditions is proposed and analyzed. It consists of a semi-Lagrangian scheme in the main part of the domain as proposed by Carlini, Falcone and Ferretti, combined with a finite difference scheme in small
Results 1 - 10 of 251