Articles with "integral solution" as a keyword



On the integral solution of hyperbolic Kepler’s equation

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Published in 2024 at "Celestial Mechanics and Dynamical Astronomy"

DOI: 10.1007/s10569-024-10184-5

Abstract: In a recent paper of Philcox, Goodman and Slepian, the solution of the elliptic Kepler’s equation is given as a quotient of two contour integrals along a Jordan curve that contains in its interior the… read more here.

Keywords: kepler; kepler equation; integral solution; hyperbolic kepler ... See more keywords

An Accurate Integral Solution for Solving the Pantograph Equation

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Published in 2017 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-017-0390-9

Abstract: In this paper, we study the Pantograph equation. The integral fixed point method is employed to compute an approximation to the solution of this problem. The validity of the proposed method is ascertained by comparing… read more here.

Keywords: solution solving; accurate integral; solution; pantograph equation ... See more keywords
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Line integral solution of Hamiltonian systems with holonomic constraints

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Published in 2018 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2017.12.014

Abstract: Abstract In this paper, we propose a second order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on the use of the so-called line integral framework . We… read more here.

Keywords: line integral; hamiltonian systems; holonomic constraints; systems holonomic ... See more keywords

Microbiologically Influenced Corrosion in Unconventional Oil and Gas Facilities: A Tailored Integral Solution

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Published in 2025 at "SPE Journal"

DOI: 10.2118/228313-pa

Abstract: Flowback water from unconventional reservoirs in Argentina and other shale plays worldwide contains a microbiome rich in the bacterial genus Halanaerobium. This microorganism is native to these reservoirs and thrives in surface facilities, where it… read more here.

Keywords: tailored integral; microbiologically influenced; solution; integral solution ... See more keywords