Results 1 to 10 of about 32,630,588 (240)
Semantic Segmentation of Medical Images Based on Runge–Kutta Methods [PDF]
Bioengineering, 2023 In recent years, deep learning has achieved good results in the semantic segmentation of medical images. A typical architecture for segmentation networks is an encoder–decoder structure.
Mai Zhu, Chong Fu, Xingwei Wang
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Implicit and Implicit-Explicit Strong Stability Preserving Runge-Kutta Methods with High Linear Order [PDF]
Journal of Scientific Computing, 2017 When evolving in time the solution of a hyperbolic partial differential equation, it is often desirable to use high order strong stability preserving (SSP) time discretizations. These time discretizations preserve the monotonicity properties satisfied by
Conde, Sidafa +3 more
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SIAM Journal on Scientific Computing, 2019 The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, \emph{Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms}, SIAM Journal on Numerical Analysis, 2019) is extended to general
Dalcin, Lisandro +4 more
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Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models [PDF]
Geoscientific Model Development, 2018 The efficient simulation of non-hydrostatic atmospheric dynamics requires time integration methods capable of overcoming the explicit stability constraints on time step size arising from acoustic waves.
D. J. Gardner +5 more
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Fractional Order Runge-Kutta Methods [PDF]
Fractal and Fractional, 2022 This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
F. Ghoreishi, Rezvan Ghaffari
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Solving system of Euler's equations using Runge –Kutta methods [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 In this paper, linear systems with variable coefficients (Euler's equations) were solved using one of the numerical methods that are subject to initial conditions defined over a given period of time .The explicit Rung-Kutta method is the fastest and most
Aseel Al_Ameely, Athraa Albukhuttar
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Fractional Order Runge–Kutta Methods
Fractal and Fractional, 2023 This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
Farideh Ghoreishi +2 more
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Relaxation Runge–Kutta Methods for Hamiltonian Problems [PDF]
Journal of Scientific Computing, 2020 The recently-introduced relaxation approach for Runge–Kutta methods can be used to enforce conservation of energy in the integration of Hamiltonian systems. We study the behavior of implicit and explicit relaxation Runge–Kutta methods in this context. We
Hendrik Ranocha, D. Ketcheson
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Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation [PDF]
Applied Mathematics Letters, 2020 In this paper, a family of arbitrarily high-order structure-preserving exponential Runge–Kutta methods are developed for the nonlinear Schrodinger equation by combining the scalar auxiliary variable approach with the exponential Runge–Kutta method.
Jin-Chao Cui +3 more
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Krylov SSP Integrating Factor Runge–Kutta WENO Methods
Mathematics, 2021 Weighted essentially non-oscillatory (WENO) methods are especially efficient for numerically solving nonlinear hyperbolic equations. In order to achieve strong stability and large time-steps, strong stability preserving (SSP) integrating factor (IF ...
Shanqin Chen
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