MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics

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Interpolation with Multivariate PolynomialsWe used the difficulties associated with multivariate polynomialinterpolation as one of the motivations for the use of radial basisfunctions.fasshauer@iit.edu MATH 590 – Chapter 6 12
Interpolation with Multivariate PolynomialsWe used the difficulties associated with multivariate polynomialinterpolation as one of the motivations for the use of radial basisfunctions.However, sometimes it is desirable to have an interpolant that exactlyreproduces certain types of functions.For example, if the data are constant, or come from a linear function,then it would be nice if our interpolant were also constant or linear,respectively.fasshauer@iit.edu MATH 590 – Chapter 6 12
Page 3 and 4: OutlineInterpolation with Multivari
Page 6 and 7: Interpolation with Multivariate Pol
Page 16 and 17: ProofInterpolation with Multivariat
Page 18 and 19: ProofInterpolation with Multivariat
Page 38 and 39: Example: Reproduction of Linear Fun
Page 54 and 55: Scattered Data Fitting w/ More Gene
Page 68 and 69: Almost Negative Definite Matrices a
Page 80 and 81:
Almost Negative Definite Matrices a
Page 82 and 83:
Almost Negative Definite Matrices a
Page 84 and 85:
References IAppendixReferencesBuhma
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MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics

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