Modified Padé–Borel Summation

A Modified Borel Summation Technique

We compare and contrast three different perturbative expansions for the quartic anharmonic oscillator wavefunction and apply a modified Borel summation technique to determine the energy eigenvalues. In the first two expansions this provides the energy eigenvalues directly however in the third method we tune the wavefunctions to achieve the correct large x behaviour as first illustrated in [1]. ...

Low Power Multiplier Optimized by Modified Partial Product Summation

Multiplication is a commonly used operation of Digital signal processing. The objective of a good multiplier is to provide a physically compact, high speed and a low power consuming chip. A low power multiplier using a dynamic range determination unit and a modified upper/lower left-to-right in the partial product summation is designed. The proposed multiplier is based on the modified booth alg...

Modified Wolf electrostatic summation: Incorporating an empirical charge overlap

The original Wolf sum [D. Wolf et al., J. Chem. Phys. 110 (1999) 8254–8282] was modified to account for the effect of charge overlap in an empirical manner in order to correct the direct 1/r coulomb interaction in covalent systems. The resulting modified Wolf sum takes a form that is similar to the original one. More importantly, the inclusion of the charge overlap effect does not introduce any...

On A Certain Modified Mixed Summation-Integral Type Operator

Approximation Properties of Some Modified Summation-Integral Type Operator

In the present paper, we introduce some Stancu type generalization of Szász-Mirakyan-Baskakov type operators. We estimate the moments for these operators using the hypergeometric series, which can be related to Laguerre polynomials. We estimate point wise convergence, asymptotic expansion and error estimate in terms of higher order modulus of continuity of function in simultaneous approximation...