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Optimal staggered-grid finite-difference schemes by combining Taylor-series expansion and sampling approximation for wave equation modeling

Journal of Computational Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, Hongyong, Yang, Lei, Li, Xiang-Yang
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Application of Rosseland approximation and solution based on series expansion of the emission power to radiation problems.

AIAA Journal, 1968
Emission-power series expansion solution and Rosseland approximation applied to radiation problems, discussing errors introduced by approximate ...
YEHUDA TAITEL, J. P. HARTNETT
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Seismic modeling with an optimal staggered-grid finite-difference scheme based on combining Taylor-series expansion and minimax approximation

Studia Geophysica et Geodaetica, 2017
Staggered-grid finite-difference (SGFD) schemes have been used widely in seismic modeling. The spatial difference coefficients of the SGFD scheme are generally determined by a Taylor-series expansion (TE) method or optimization methods. However, high accuracy is hardly guaranteed both at small and large wavenumbers by using these conventional methods ...
Hongyong Yan, Lei Yang
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Relativistic and non-relativistic Hartree-Fock one-centre expansion calculations for the series CH4 to PbH4 within the spherical approximation

Chemical Physics Letters, 1974
Abstract Relativistic and non-relativistic Hartree-Fock calculations have been carried out for the series CH4 to PbH4 within the spherically symmetric one-centre expansion approximation. Inaccuracies are found in earlier work by Mackrodt using the same model. The calculated bond lengths agree with experiment within a few per cent.
J.P. Desclaux, P. Pyykko
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Efficient series expansions and accurate approximate expressions for computing the extrema of sinx/x function

42nd Midwest Symposium on Circuits and Systems (Cat. No.99CH36356), 2003
It is shown that the locations and amplitudes of the extrema of the sin x/x function, when expressed under the form of series expansions, can be calculated very fast through a straightforward recursion formula. Moreover, very simple accurate algebraic expressions are given for these locations and amplitudes.
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On Taylor series expansions for waiting times in tandem queues: an algorithm for calculating the coefficients and an investigation of the approximation error

Performance Evaluation, 1999
Abstract Recently, a Taylor series expansion was developed for expected stationary waiting times in open (max,+)-linear stochastic systems with Poisson input process; these systems cover various instances of queueing networks. As an application, we present an algorithm for calculating the coefficients for infinite capacity tandem queueing networks ...
Wilfried Seidel   +2 more
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EXPANSIONS IN SERIES AND THE RATE OF RATIONAL APPROXIMATIONS FOR HOLOMORPHIC FUNCTIONS WITH ANALYTIC SINGULARITIES

Mathematics of the USSR-Sbornik, 1974
It is proved that for functions holomorphic in the complement of an analytic subset of Cn the best rational approximation converges faster than any geometric progression. Bibliography: 3 items.
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Chapter 4 Turbulent Diffusion : Evaluation of Primitive and Renormalized Perturbation Series by Padé Approximants and by Expansion of Stieltjes Transforms into Contributions from Continuous Orthogonal Functions

1970
Publisher Summary This chapter presents the utilization of Pade approximants as tools for summing several divergent series that arise in the theory of diffusion of fluid particles by a random or turbulent velocity field. The turbulent diffusion can be described by a perturbation expansion with a diagram structure very similar to that of some quantum ...
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