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Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion [PDF]

open access: goldAdvances in Mathematical Physics, 2019
This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method. The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale. Considering the
Hongmei Wu
doaj   +3 more sources

Hörmander’s $$L^2$$-Method, $${\overline{\partial }}$$-Problem and Polyanalytic Function Theory in One Complex Variable [PDF]

open access: hybridComplex Analysis and Operator Theory, 2023
AbstractIn this paper we consider the classical $${\overline{\partial }}$$ ∂ ¯ -problem in the case of one complex variable both for analytic and polyanalytic data.
Alpay, Daniel   +4 more
  +5 more sources

A Method for the Computation of the Error Function of a Complex Variable [PDF]

open access: bronzeMathematics of Computation, 1965
This paper presents a method of computing z ≡ ( 2 / π ) ∫ 0 z e −
Otto Neall Strand
openaire   +3 more sources

Hörmander's $L^2$-method, $\bar{\partial}$-problem and polyanalytic function theory in one complex variable [PDF]

open access: green, 2022
In this paper we consider the classical $\bar{\partial}$-problem in the case of one complex variable both for analytic and polyanalytic data. We apply the decomposition property of polyanalytic functions in order to construct particular solutions of this problem and obtain new Hörmander type estimates using suitable powers of the Cauchy-Riemann ...
Alpay, Daniel   +4 more
openaire   +3 more sources

Topological methods in the theory of functions of a complex variable [PDF]

open access: diamondBulletin of the American Mathematical Society, 1947
The description for this book, Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), will be forthcoming.
Morse, Marston, Heins, Maurice
openaire   +3 more sources

Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method [PDF]

open access: goldApplied Mathematics and Nonlinear Sciences, 2021
Abstract After reviewing many literature foundations, the thesis combines the basic methods of elastic mechanics with mathematical knowledge, sets the bipotential stress potential complex function and analyses the relationship between stress component, strain component and stress potential function, and applies the complex variable ...
Wang, Guizhen   +3 more
openaire   +4 more sources

Alternating Direction Method of Multipliers for Separable Convex Optimization of Real Functions in Complex Variables [PDF]

open access: hybridMathematical Problems in Engineering, 2015
The alternating direction method of multipliers (ADMM) has been widely explored due to its broad applications, and its convergence has been gotten in the real field. In this paper, an ADMM is presented for separable convex optimization of real functions in complex variables.
Li, Lu, Wang, Xingyu, Wang, Guoqiang
openaire   +4 more sources

DSCostPred: a double-stacking model for construction cost prediction [PDF]

open access: yesScientific Reports
The prediction of construction project cost plays a core role in engineering construction projects. However, the current prediction involves a multi-dimensional and dynamically variable system, and each major category can be further subdivided into many ...
Chen-Ping Liu   +2 more
doaj   +2 more sources

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