Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates

[1]  A. Edelman,et al.  Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation , 1989 .

[2]  John K. Dukowicz,et al.  Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations , 1987 .

[3]  Richard Franke,et al.  Recent Advances in the Approximation of surfaces from scattered Data , 1987, Topics in Multivariate Approximation.

[4]  T. A. Foley Interpolation and approximation of 3-D and 4-D scattered data , 1987 .

[5]  C. Micchelli Interpolation of scattered data: Distance matrices and conditionally positive definite functions , 1986 .

[6]  Thomas A. Foley,et al.  Scattered data interpolation and approximation with error bounds , 1986, Comput. Aided Geom. Des..

[7]  S. Rippa,et al.  Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions , 1986 .

[8]  Rolland L. Hardy,et al.  A multiquadric-biharmonic representation and approximation of disturbing potential , 1986 .

[9]  Peter Lancaster,et al.  Curve and surface fitting - an introduction , 1986 .

[10]  E. Kansa Application of Hardy's multiquadric interpolation to hydrodynamics , 1985 .

[11]  S. Stead Estimation of gradients from scattered data , 1984 .

[12]  J. Hyman Accurate Monotonicity Preserving Cubic Interpolation , 1983 .

[13]  D. Levin,et al.  Iterative Solution of Systems Originating from Integral Equations and Surface Interpolation , 1983 .

[14]  R. L. Hardy Surface fitting with biharmonic and harmonic models , 1982 .

[15]  M. Berger,et al.  Adaptive mesh refinement for hyperbolic partial differential equations , 1982 .

[16]  R. Franke Scattered data interpolation: tests of some methods , 1982 .

[17]  R. E. Carlson,et al.  Monotone Piecewise Cubic Interpolation , 1980 .

[18]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[19]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow , 1977 .

[20]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme , 1974 .

[21]  R. L. Hardy Multiquadric equations of topography and other irregular surfaces , 1971 .

[22]  Granino A. Korn,et al.  Mathematical handbook for scientists and engineers , 1961 .

[23]  F. G. Blake Spherical Wave Propagation in Solid Media , 1952 .