Grid-free adaptive semi-Lagrangian advection using radial basis functions

Computers and Mathematics with Applications

Volumn 43, Issue 3-5, 2002, Pages 319-327

  Behrens, J ^a   Iske, A ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Adaptive advection schemes; Radial basis functions; Semi Lagrangian method

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATION THEORY; ERROR ANALYSIS; LAGRANGE MULTIPLIERS;

SEMI-LAGRANGIAN METHOD (SLM);

INTERPOLATION;

EID: 0036467813     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00289-9     Document Type: Article

References (17)

1. An adaptive semi-Lagrangian advection scheme and its parallelization
2. Semi-Lagrangian integration schemes for atmospheric models - A review
3. Meshless Galerkin methods using radial basis functions
4. Convergence orders of meshless collocation methods using radial basis functions
5. Solving partial differential equations by collocation using radial basis functions
6. Radial basis functions
7. Interpolation and approximation by radial and related functions
8. The theory of radial basis function approximation in 1990
9. Multivariate interpolation and approximation by translates of a basis function
10. Splines minimizing rotation-invariant semi-norms in Sobolev spaces
11. Local error estimates for radial basis function interpolation of scattered data
12. Detection of discontinuities in scattered data approximation
13. Fully multidimensional flux-corrected transport algorithms for fluids
14. A mass-conserving semi-Lagrangian scheme for the shallow-water equations
15. Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations
16. The conversion of semi-Lagrangian advection schemes to quasi-monotone schemes