Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—II solutions to parabolic, hyperbolic and elliptic partial differential equations

Computers & Mathematics with Applications - Tập 19 Số 8-9 - Trang 147-161 - 1990
E.J. Kansa1
1Lawrence Livermore National Laboratory, L-200, P.O. Box 808, Livermore, CA 94550, U.S.A.

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Tài liệu tham khảo

Kansa, 1990, Multiquadrics—a scattered data approximation scheme with applications to computational fluid-dynamics—I. Surface approximations and partial derivative estimates, Computers Math. Applic., 19, 127, 10.1016/0898-1221(90)90270-T

Franke, 1982, Scattered data interpolation: test of some other methods, Math. Comput., 38, 181

R. L. Hardy, Multiquadric equations of topography and other irregular surfaces. J. geophys. Res.176, 1905–1915.

Hardy, 1975, Research results in the application of multiquadratic equations to surveying and mapping problems, Surv. Mapp., 35, 321

Stead, 1984, Estimation of gradients from scattered data, Rocky Mount. J. Math., 14, 265, 10.1216/RMJ-1984-14-1-265

Micchelli, 1986, Interpolation of scattered data: distance matrices and conditionally positive definite functions, Constr. Approx., 2, 11, 10.1007/BF01893414

W. R. Madych and S. A. Nelson, Multivariate interpolation: a variational theory. J. Approx. Theory Applic. (in press).

Adams, 1988

Kansa, 1986, Highly accurate shock flow calculations with moving grids and mesh refinement, 311

von Neumann, 1963, Vol. 6, 219

Kansa, 1986, Application of Hardy's multiquadratic interpolation to hydrodynamics, Vol. 4, 111

Braess, 1981, The contraction number of a multigrid method for solving the Poisson equation, Numer. Math., 37, 387, 10.1007/BF01400317

Braess, 1984, The convergence rate of a multigrid method relaxation for the Poisson equation with Gauss-Seidel relaxation for the Poisson equation, Math. Comput., 42, 505

Braess, 1983, A new convergence proof for the multigrid method including the V-cycle, SIAM Jl numer. Analysis, 20, 967, 10.1137/0720066