Monthly Weather Review · 1970 · 20 citations · 0 references
Natural SciencesMathematicsComputational PhysicsOptimizationScientific ComputingCurve InterpolationError EstimationInterpolation TechniquesNumerical AlgorithmsNumerical AnalysisSpatial InterpolationInterpolation AlgorithmsInterpolation FunctionsInterpolation-based OptimizationObservational Error AnalysisOptimal InterpolationScalar Field Interpolation
A method of selecting optimum influence radii for the objective analysis of a scalar field using the method of successive corrections is presented for an arbitrary weight function. The Cressman weight function is used in a computational verification of the result. A well-defined first pass optimum radius is found that increases with station separation, observational error, and wavelength of the true field for the average taken as the guess field.