Topic
Operator (computer programming)
About: Operator (computer programming) is a research topic. Over the lifetime, 40896 publications have been published within this topic receiving 671452 citations. The topic is also known as: operator symbol & operator name.
Papers published on a yearly basis
Papers
More filters
TL;DR: The power average operator can relieve the some influences of unreasonable data given by biased decision makers, and Heronian mean operator can consider the interrelationship of the aggregated arguments to take full advantages of these two kinds of operators.
192 citations
TL;DR: The concept of stability and error bounds in initial value problems was introduced by Dahlquist as mentioned in this paper, who defined the logarithmic norm in order to derive error bounds for nonlinear maps and unbounded operators.
Abstract: In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in order to derive error bounds in initial value problems, using differential inequalities that distinguished between forward and reverse time integration. Originally defined for matrices, the logarithmic norm can be extended to bounded linear operators, but the extensions to nonlinear maps and unbounded operators have required a functional analytic redefinition of the concept. This compact survey is intended as an elementary, but broad and largely self-contained, introduction to the versatile and powerful modern theory. Its wealth of applications range from the stability theory of IVPs and BVPs, to the solvability of algebraic, nonlinear, operator, and functional equations.
192 citations
Book•
18 Feb 1997
TL;DR: In this paper, the authors present the first boundary value problem for Strongly Elliptic Differential-Difference Equations with Degeneration, which is a special case of the problem we are dealing with in this paper.
Abstract: I Boundary Value Problems for Functional Differential Equations in One Dimension.- 1 Ordinary Differential Equations with Nonlocal Boundary Conditions.- 2 Difference Operators in One Dimension.- 3 The Boundary Value Problem for the Differential-Difference Equation.- 4 Generalized and Classical Solutions.- 5 Applications to Control Systems with Delay.- 6 The Boundary Value Problem for the Differential-Difference Equation with Degeneration.- Notes.- II The First Boundary Value Problem for Strongly Elliptic Differential-Difference Equations.- 7 Some Geometrical Constructions.- 8 Difference Operators in the Multidimensional Case.- 9 Necessary and Sufficient Conditions for Strong Ellipticity.- 10 Solvability and Spectrum.- 11 Smoothness of Generalized Solutions in Subdomains.- 12 Smoothness of Solutions on a Boundary of Neighboring Subdomains.- 13 Elliptic Differential Equations with Nonlocal Conditions on Shifts of Boundary.- Notes.- III Applications to the Mechanics of a Deformable Body.- 14 The Elastic Model.- 15 Variational and Boundary Value Problems.- 16 Smoothness of Solutions.- 17 The One-Dimensional Case.- Notes.- IV Semi-Bounded Differential-Difference Operators with Degeneration.- 18 Self-Adjoint Extension of a Semi-Bounded Differential-Difference Operator.- 19 The Spectrum of Semi-Bounded Differential-Difference Operators.- 20 Smoothness of Solutions of Equations with Degeneration.- Notes.- V Nonlocal Elliptic Boundary Value Problems.- 21 Nonlocal Elliptic Problems with a Parameter.- 22 Elliptic Equations with Nonlocal Boundary Conditions in a Cylinder.- 23 Elliptic Differential-Difference Equations in a Cylinder.- 24 Applications to the Multidimensional Diffusion Processes.- 25 Elliptic Problems with Nonlocal Conditions near the Boundary and Feller Semigroups.- Notes.- A Linear Operators.- B Functional spaces.- C Elliptic Problems.- List of Symbols.
192 citations
TL;DR: A viable case for picking the specific spots for home construction is given and an approach for MCDM problem in light of new operators under Fermatean fuzzy condition is proposed.
192 citations
TL;DR: In this article, the authors present a practical computer implementation of a technique which dramatically speeds up the convergence of the infinite series Green's function associated with the Helmholtz operator in the case of periodic structures.
192 citations