Results 11 to 20 of about 565,177 (286)
Treatment of Complex Interfaces for Maxwell’s Equations with Continuous Coefficients Using the Correction Function Method [PDF]
Journal of Scientific Computing, 2020 We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients. Correction functions are modeled by a system of PDEs based on Maxwell's equations with interface conditions.
Yann-Meing Law +2 more
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Analogs of the Prime Number Problem in a Shot Noise Suppression of the Soft-Reset Process [PDF]
NanomaterialsThe soft-reset process, or a sequence of charge emissions from a floating storage node through a transistor biased in a subthreshold bias condition, is modeled by a master (Kolmogorov–Bateman) equation.
Yutaka Hirose
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Вестник КазНУ. Серия математика, механика, информатика, 2021 The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
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Complex Monge–Ampère equations for plurifinely plurisubharmonic functions
Indagationes Mathematicae, 2023 This paper studies the complex Monge-Ampère equations for $\mathcal F$-plurisubharmonic functions in bounded $\mathcal F$-hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.
Nguyen Xuan Hong +3 more
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Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
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Energy Engineering and Control Systems, 2021 The article focused on the development of information technology for the optimization of control over complex dynamic systems at the stage of their design that should realize possibilities of modeling of linear and nonlinear dynamic systems, the analysis
Taia Petik +3 more
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Exact solutions of nonlinear delay reaction–diffusion equations with variable coefficients
Partial Differential Equations in Applied Mathematics, 2021 A modified method of functional constraints is used to construct the exact solutions of nonlinear equations of reaction–diffusion type with delay and which are associated with variable coefficients.
M.O. Aibinu, S.C. Thakur, S. Moyo
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Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions
Mathematics, 2021 This paper describes a number of simple but quite effective methods for constructing exact solutions of nonlinear partial differential equations that involve a relatively small amount of intermediate calculations.
Alexander V. Aksenov, Andrei D. Polyanin
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The Complex WKB Method for Difference Equations and Airy Functions [PDF]
SIAM Journal on Mathematical Analysis, 2019 We consider the difference Schr{\"o}dinger equation $\psi$(z + h) + $\psi$(z -- h) + v(z)$\psi$(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h $\rightarrow$ 0 analytic solutions to this equation have a standard quasiclassical behavior near the points where v(z) = $\pm$2.
Alexander Fedotov, Frédéric Klopp
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A New Three-Step Root-Finding Numerical Method and Its Fractal Global Behavior
Fractal and Fractional, 2021 There is an increasing demand for numerical methods to obtain accurate approximate solutions for nonlinear models based upon polynomials and transcendental equations under both single and multivariate variables. Keeping in mind the high demand within the
Asifa Tassaddiq +5 more
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