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A slope generalization of Attouch theorem
A classical result of variational analysis, known as Attouch theorem, establishes an equivalence between epigraphical convergence of a sequence of...
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Revisting High-Resolution Schemes with van Albada Slope Limiter
Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws. The...
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Weighted aggregation operators of fuzzy credibility numbers and their decision-making approach for slope design schemes
In fuzzy decision-making problems, existing fuzzy decision-making methods only indicate fuzzy assessment values but lack the degrees/levels of...
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Error Estimate of Exponential Time Differencing Runge-Kutta Scheme for the Epitaxial Growth Model Without Slope Selection
In this work, we consider the second order exponential time differencing Runge-Kutta (ETDRK) scheme for solving the epitaxial growth model without...
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Modeling of Elements Characterizing the Activities of Operators and DM of Transport Processes
In order to understand the reasons for the actions, actions and all activities of operators and DM of active transport systems (ATS). -
Ternary rings of operators arising from inverse semigroups
We are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain...
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Total Differentiation, Differential Operators
So far, we have considered only partial derivatives or directional derivatives for functions in several variables. In addition to these special... -
An adaptive BDF2 implicit time-step** method for the no-slope-selection epitaxial thin film model
In this paper we are concerned with the stability and convergence analysis of the second order backward differentiation formula (BDF2) scheme with...
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On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces
Computing spectra is a central problem in computational mathematics with an abundance of applications throughout the sciences. However, in many...
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Norm-attaining operators, variational principles, and Asplund spaces
In this chapter we shall review some results on extreme points, points of differentiability, farthest points and norm-attaining operators. All those... -
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p-Laplace Operators for Oriented Hypergraphs
The p -Laplacian for graphs, as well as the vertex Laplace operator and the hyperedge Laplace operator for the general setting of oriented...
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On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators
The fundamental goal of the study under consideration is to establish some of the existence criteria needed for a particular fractional inclusion...
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Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
In this work, we are concerned with the stability and convergence analysis of the second-order backward difference formula (BDF2) with variable steps...
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Newton polygons of Hecke operators
In this computational paper we verify a truncated version of the Buzzard–Calegari conjecture on the Newton polygon of the Hecke operator
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