On the Study of Oscillating Viscous Flows by Using the Adomian-Padé Approximation
The Adomian-Padé technique is applied to examine two oscillating viscous flows, the Stokes’ second problem and the pressure-driven pulsating flow. Main purposes for studying oscillating flows are not only to verify the accuracy of the approximation ...
Chi-Min Liu
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Padé Approximant and Minimax Rational Approximation in Standard Cosmology
The luminosity distance in the standard cosmology as given by ΛCDM and, consequently, the distance modulus for supernovae can be defined by the Padé approximant.
Lorenzo Zaninetti
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Analytical Dual Flip Angle R1 Calculation Outside the Small-Angle Regime. [PDF]
ABSTRACT Purpose To evaluate a new analytical estimator for R1 and apparent proton density (A$$ A $$) from short‐TR dual flip angle data which does not rely on the small flip angle approximation and can thus be applied to a broader range of data, especially where relatively large flip angles are needed to achieve sufficient T1‐weighting for R1 ...
Edwards LJ +6 more
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Local-Hybrid Functional With a Composite Local Mixing Function Built From a Neural Network and a Strong-Correlation Model. [PDF]
A new local hybrid functional, LH25nP, is reported, that uses a neural‐network local mixing function for the position‐dependence of exact‐exchange admixture trained with a human‐designed strong‐correlation factor. It thereby escapes the usual zero‐sum game between delocalization and static‐correlation errors.
Wodyński A, Kaupp M.
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The quadratic Hermite-Padé approximation [PDF]
This thesis is concerned with the existence, behaviour and performance of the quadratic Hermite-Padé approximation. It starts with the definition of the general Hermite-Padé approximation. Some of the problems which arise, particularly those of finding
Brookes, Richard G.
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Series Expansion and Fourth-Order Global Padé Approximation for a Rough Heston Solution
The rough Heston model has recently been shown to be extremely consistent with the observed empirical data in the financial market. However, the shortcoming of the model is that the conventional numerical method to compute option prices under it requires
Siow Woon Jeng, Adem Kilicman
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Robust Padé Approximation via SVD. [PDF]
Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular, the singular value decomposition. This leads to an algorithm for practical computation that bypasses most problems of solution of nearly-
Gonnet, P +6 more
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A New Biased Model Order Reduction for Higher Order Interval Systems
This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by
Mangipudi Siva Kumar, Gulshad Begum
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The GDTM-Padé Technique for the Nonlinear Lattice Equations
The GDTM-Padé technique is a combination of the generalized differential transform method and the Padé approximation. We apply this technique to solve the two nonlinear lattice equations, which results in the high accuracy of the GDTM-Padé solutions ...
Junfeng Lu
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Differential Quadrature Method for Fully Intrinsic Equations of Geometrically Exact Beams
In this paper, a differential quadrature method of high-order precision (DQ−Pade), which is equivalent to the generalized Pade approximation for approximating the end of a time or spatial interval, is used to solve nonlinear fully intrinsic equations of ...
Lidao Chen, Yong Liu
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