Interpolation Processes

Mastroianni, G.; Milovanović, Gradimir V.

doi:10.1007/978-3-540-68349-0

Cited by 154 publications

(62 citation statements)

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“…First was a relatively classic mapping approach using the Convergent interpolation (CI) algorithm [17]. It obtains relatively smooth transition and is a generally good algorithm for mapping structural surfaces in the subsurface [6].…”

Section: Lithology Determinationmentioning

confidence: 99%

“…The coals and clays show dominantly type III gas prone kerogene in a thermally immature stage. At the moment, biogenic reactions should be at the maximum stage regarding expulsion of bacterial methane in the deepest parts of the depression (Figure 7a, b) de ned by the transformation ratio (TR) gained from maturity modelling which correspond to the expulsion of bacterial methane in the initial stages of burial [17]. The TR value is presented only for the source rock facies de ned in Table 3.…”

Section: Organic Geochemistry Properties and Kinetics De Nitionmentioning

confidence: 99%

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Modelling of maturation, expulsion and accumulation of bacterial methane within Ravneš Member (Pliocene age), Croatia onshore

Cvetković

2016

Open Geosciences

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Bacterial methane is a dominant hydrocarbon component in the Northern Croatia's Adriatic o shore proven hydrocarbon reservoirs. As onshore reserves are declining the potential of shallow gas accumulation, analogue to the Adriatic ones, are being tested. A part of the Lonja Formation (Pliocene Pleistocene and Holocene), the Ravneš Member (Early Pliocene age) is analysed for its maturation and expulsion regarding bacterial methane as potential source and reservoir rocks, especially as it is thermally immature. Two approaches were used for the initial lithology modelling processes -the convergent interpolation and sequential Gaussian simulation. Possibility for trapping and forming of accumulations was also modelled. Results show that selected member has a large source rock potential for bacterial methane with a total volume of . × m for the Convergent interpolation model and . × m for the sequential Gaussian simulation model of expulsed bacterial methane.

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Section: Lithology Determinationmentioning

confidence: 99%

Section: Organic Geochemistry Properties and Kinetics De Nitionmentioning

confidence: 99%

Modelling of maturation, expulsion and accumulation of bacterial methane within Ravneš Member (Pliocene age), Croatia onshore

Cvetković

2016

Open Geosciences

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“…, n (the values of the function f ). Such quadratures will be called the standard quadrature formulae, see [4,28,40].…”

Section: F (S)(t − S)mentioning

confidence: 99%

“…For more details we refer the reader to [14,15,28]. An efficient algorithm for computation of Gauss-Jacobi quadrature nodes and weights for any n ≥ 100 has been recently presented in [18].…”

Section: Gauss-jacobi Quadrature Rules and The Lobatto Modificationmentioning

confidence: 99%

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Nonstandard Gauss—Lobatto quadrature approximation to fractional derivatives

Esmaeili

Milovanović

2014

Fract Calc Appl Anal

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Some modified Adams‐Bashforth methods based upon the weighted Hermite quadrature rules

Masjed‐Jamei

Moalemi

Srivástava

et al. 2019

Math Methods in App Sciences

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In this paper, we first introduce a modification of linear multistep methods, which contain, in particular, the modified Adams-Bashforth methods for solving initial-value problems. The improved method is achieved by applying the Hermite quadrature rule instead of the Newton-Cotes quadrature formulas with equidistant nodes. The related coefficients of the method are then represented explicitly, the local error is given, and the order of the method is determined. If a numerical method is consistent and stable, then it is necessarily convergent.Moreover, a weighted type of the new method is introduced and proposed for solving a special case of the Cauchy problem for singular differential equations. Finally, several numerical examples and graphical representations are also given and compared. KEYWORDS adams-bashforth rule, hermite interpolation, initial-value problems, interpolation, linear multi-step method, weighted hermite quadrature rule MSC CLASSIFICATION Primary 65L05, 65L06; Secondary 41A55, 65D05 Math Meth Appl Sci. 2020;43:1380-1398. wileyonlinelibrary.com/journal/mma

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Interpolation Processes

Cited by 154 publications

References 0 publications

Modelling of maturation, expulsion and accumulation of bacterial methane within Ravneš Member (Pliocene age), Croatia onshore

Modelling of maturation, expulsion and accumulation of bacterial methane within Ravneš Member (Pliocene age), Croatia onshore

Nonstandard Gauss—Lobatto quadrature approximation to fractional derivatives

Some modified Adams‐Bashforth methods based upon the weighted Hermite quadrature rules

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