Analytical Dual Flip Angle R1 Calculation Outside the Small-Angle Regime. [PDF]
Magn Reson MedABSTRACT 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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Modeling a Wave on Mild Sloping Bottom Topography and Its Dispersion Relation Approximation
Kubik, 2022 Linear wave theory is a simple theory that researchers and engineers often use to study a wave in deep, intermediate, and shallow water regions. Many researchers mostly used it over the horizontal flat seabed, but in actual conditions, sloping seabed ...
Faizal Ade Rahmahuddin Abdullah +1 more
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SPX Calibration of Option Approximations under Rough Heston Model
Mathematics, 2021 The volatility of stock return does not follow the classical Brownian motion, but instead it follows a form that is closely related to fractional Brownian motion.
Siow Woon Jeng, Adem Kiliçman
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Padé Approximant and Minimax Rational Approximation in Standard Cosmology
Galaxies, 2016 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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Borel resummation of secular divergences in stochastic inflation
Journal of High Energy Physics, 2023 We make use of Borel resummation to extract the exact time dependence from the divergent series found in the context of stochastic inflation. Correlation functions of self-interacting scalar fields in de Sitter spacetime are known to develop secular IR ...
Masazumi Honda +3 more
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The complex Jacobi iterative method for three-dimensional wide-angle beam propagation [PDF]
, 2008 A
Bienstman, Peter +3 more
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Padé approximants for inverse trigonometric functions and their applications
Journal of Inequalities and Applications, 2017 The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is
Shanhe Wu, Gabriel Bercu
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MULTIPORT ANALYSIS BY PADÃ APPROXIMATION [PDF]
Progress In Electromagnetics Research, 2012 In this paper, a new method to analyze arbitrary shaped microstrip patch antennas is introduced. This method uses the multiport network model (MNM) together with a mathematical approximation called the \Pade approximation" such that the antenna input impedance obtained from the multiport analysis is approximated as a rational function of polynomials ...
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The complex Jacobi iterative method for non-paraxial beam propagation in nonlinear optical waveguides [PDF]
, 2009 The recently introduced beam propagation method using complex Jacobi iteration adapted for modeling of non-paraxial beam propagation in nonlinear optical waveguides is presented in this paper.
Bienstman, Peter, Le Quang, Khai
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The RVP Method—From Real Ab-Initio Calculations to Complex Energies and Transition Dipoles
Frontiers in Physics, 2022 The purpose of this review is to describe the rationale behind the RVP (resonance via Padé) approach for calculating energies and widths of resonances, while emphasizing a solid mathematical ground.
Arie Landau +4 more
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