Results 31 to 40 of about 2,007 (185)
A quantum algorithm for linear autonomous differential equations via Padé approximation [PDF]
QuantumWe propose a novel quantum algorithm for solving linear autonomous ordinary differential equations (ODEs) using the Padé approximation. For linear autonomous ODEs, the discretized solution can be represented by a product of matrix exponentials.
Dekuan Dong, Yingzhou Li, Jungong Xue
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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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Concurrent universal Padé approximation
, 2021 We prove concurrent universal Padé approximation for several universal Padé approximants of several types. Our results are generic in the space of holomorphic functions, in the space of formal power series as well as in a subspace of A∞.
Makridis, K., Nestoridis, V.
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High order locally one-dimensional methods for solving two-dimensional parabolic equations
Advances in Difference Equations, 2018 Based on the locally one-dimensional strategy, we propose two high order finite difference schemes for solving two-dimensional linear parabolic equations. In the first method, fourth order approximation in space and (2,2) $(2,2)$ Padé formula in time are
Jianhua Chen, Yongbin Ge
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International Journal for Numerical Methods in Fluids, EarlyView.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
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Propiedades asintóticas de polinomios ortogonales variantes y aproximación racional [PDF]
, 2000 Se trata de extender los resultados conocidos sobre comportamiento asintótico de polinomios ortogonales con respecto a medidas variantes y utilizarlos para resolver problemas de la teoría de la aproximación racional de funciones analíticas.
Calle Ysern, Bernardo de la
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Load‐frequency control (LFC) comprises a primary process in interconnected electrical power systems, playing a critical role in maintaining the stability and reliability of the electrical grid. It is of paramount importance that the designed controller functions in an optimal manner, particularly with regard to the compression of area ...
Bora Çavdar +2 more
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The Astrophysical JournalThe cosmography known as the Padé polynomials has been widely used in the reconstruction of luminosity distance, and the orders of Padé polynomials influence the reconstructed result derived from Padé approximation.
Bo Yu +4 more
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The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation
Discrete Dynamics in Nature and Society, 2011 Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential ...
Muhammed Yiğider +2 more
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Advances in Difference Equations, 2020 This paper presents two high-order exponential time differencing precise integration methods (PIMs) in combination with a spatially global sixth-order compact finite difference scheme (CFDS) for solving parabolic equations with high accuracy.
Changkai Chen +3 more
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