A Practical Guide to Radial Basis Functions
نویسنده
چکیده
1 Radial Basis Functions 2 1.1 Multivariate Interpolation and Positive Definiteness . . . . . . 3 1.2 Stability and Scaling . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Solving Partial Differential Equations . . . . . . . . . . . . . . 7 1.4 Comparison of Strong and Weak Problems . . . . . . . . . . . 8 1.5 Collocation Techniques . . . . . . . . . . . . . . . . . . . . . . 10 1.6 Method of Fundamental Solutions . . . . . . . . . . . . . . . . 13 1.7 Method of Particular Solutions . . . . . . . . . . . . . . . . . 14 1.8 Time–dependent Problems . . . . . . . . . . . . . . . . . . . . 15 1.9 Lists of Radial Basis Functions . . . . . . . . . . . . . . . . . 15
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