MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics
MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics
MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics
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Example: Reproduction of Linear Functions using Gaussian RBFsWe can try to fit the bivariate linear function f (x, y) = (x + y)/2 withGaussians (with ε = 6).Figure: Gaussian interpolant to bivariate linear function with N = 1089 (left)and associated abolute error (right).RemarkClearly the interpolant is not completely planar — not even to machineprecision.fasshauer@iit.edu <strong>MATH</strong> <strong>590</strong> – <strong>Chapter</strong> 6 15
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