Search results for " IMPROVED FAST GAUSSIAN"

showing 2 items of 2 documents

Highlighting numerical insights of an efficient SPH method

2018

Abstract In this paper we focus on two sources of enhancement in accuracy and computational demanding in approximating a function and its derivatives by means of the Smoothed Particle Hydrodynamics method. The approximating power of the standard method is perceived to be poor and improvements can be gained making use of the Taylor series expansion of the kernel approximation of the function and its derivatives. The modified formulation is appealing providing more accurate results of the function and its derivatives simultaneously without changing the kernel function adopted in the computation. The request for greater accuracy needs kernel function derivatives with order up to the desidered …

Computer scienceApplied MathematicsGaussianComputation010103 numerical & computational mathematicsFunction (mathematics)01 natural sciences010101 applied mathematicsSmoothed-particle hydrodynamicsComputational Mathematicssymbols.namesakeSettore MAT/08 - Analisi NumericaKernel based methods Smoothed Particle Hydrodynamics Accuracy Convergence Improved fast Gaussian transform.Convergence (routing)symbolsTaylor seriesGaussian function0101 mathematicsFocus (optics)Algorithm
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ADVANCED MESHLESS NUMERICAL METHODS AND APPLICATIONS

Settore MAT/08 - Analisi NumericaMESHLESS METHOD APPROXIMATION BIO-MATHEMATICS DYNAMICAL SYSTEM SEPARATRIX MOVING LEAST SQUARE SMOOTHED PARTICLE HYDRODYNAMICS IMPROVED FAST GAUSSIAN
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