MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics

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Interpolation with Multivariate PolynomialsFor polynomial interpolation at N distinct data sites in R s to be awell-posed problem, the polynomial degree needs to be chosenaccordingly, i.e.,we need M = N,and the data sites need to form an m-unisolvent set.This is rather restrictive.fasshauer@iit.edu MATH 590 – Chapter 6 5
Interpolation with Multivariate PolynomialsFor polynomial interpolation at N distinct data sites in R s to be awell-posed problem, the polynomial degree needs to be chosenaccordingly, i.e.,we need M = N,and the data sites need to form an m-unisolvent set.This is rather restrictive.ExampleIt is not clear how to perform polynomial interpolation at N = 7 pointsin R 2 in a unique way. We could consider usingfasshauer@iit.edu MATH 590 – Chapter 6 5
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
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Scattered Data Fitting w/ More Gene
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Almost Negative Definite Matrices a
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References IAppendixReferencesBuhma
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MATH 590: Meshfree Methods - Chapter 6 - Applied Mathematics

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