Multiquadrics in Engineering Modelingby Ross E. Hagan, Utah State Univ, Logan, United States,
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 | Kriging | Numerical methods | Differential equations | Computing in civil engineering
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