Multiquadrics in Engineering Modeling

by Ross E. Hagan, Utah State Univ, Logan, United States,



Document Type: Proceeding Paper

Part of: Management of Irrigation and Drainage Systems: Integrated Perspectives

Abstract:

The theory of multiquadrics (MQ) is advancing rapidly and it is usable today. When appropriate MQ can accurately interpolate for unknown values with less computational cost than Kriging. MQ has shown promise in numerically solving partial differential equations (PDE). Derivatives of the MQ equation are easily obtained, which makes it usable for spatial discretization in numerical solution routines. The theory of MQ and its application to interpolation and solving PDEs are briefly covered in this paper.

Subject Headings: Mathematical models | Differential equations | Numerical methods | Mathematics | Kriging | Numerical models | Numerical analysis

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