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Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0267-9
Abstract: We analyze monotonicity, strong stability and positivity of the TR-BDF2 method, interpreting these properties in the framework of absolute monotonicity. The radius of absolute monotonicity is computed and it is shown that the parameter value…
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Keywords:
monotonicity;
bdf2 method;
unconditionally strong;
stability ... See more keywords
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1
Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0331-5
Abstract: We investigate dense output formulae (also known as continuous extensions) for strong stability preserving (SSP) Runge–Kutta methods. We require that the dense output formula also possess the SSP property, ideally under the same step-size restriction…
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Keywords:
output formulae;
dense;
dense output;
stability preserving ... See more keywords
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Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0647-3
Abstract: For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two parts, one of which is non-stiff or mildly stiff, and the…
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Keywords:
part;
explicit part;
implicit explicit;
stability preserving ... See more keywords
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Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.11.001
Abstract: Abstract Construction of strong stability preserving second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods (SGLMs) with and without quadratic stability (QS) has been investigated. Examples of…
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Keywords:
preserving second;
stability preserving;
second derivative;
stability ... See more keywords
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Published in 2019 at "Environmental pollution"
DOI: 10.1016/j.envpol.2019.113760
Abstract: Nanoplastics are inevitably released into aquatic environments due to their extensive use and the continuous fragmentation of plastics. Therefore, it is imperative to understand the aggregation behaviours that determine the transport and fate of nanoplastics…
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Keywords:
aggregation;
display strong;
aquatic environments;
nanoplastics display ... See more keywords
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Published in 2019 at "IEEE/ACM Transactions on Networking"
DOI: 10.1109/tnet.2019.2924875
Abstract: The exploding popularity of mobile devices enables people to enjoy the benefits brought by various interesting mobile apps. The ever-increasing data traffic has exacerbated energy consumption on both cellular service providers and mobile users. It…
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Keywords:
data offloading;
social aware;
energy efficient;
energy ... See more keywords
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Published in 2018 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524518500456
Abstract: In this paper, we consider a nonlinear hybrid dynamic (NHD) system to describe fed-batch culture where there is no analytical solutions and no equilibrium points. Our goal is to prove the strong st...
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Keywords:
stability optimal;
system;
control hybrid;
fed batch ... See more keywords