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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Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order [PDF]
The Scientific World Journal, 2014 The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented.
Y. H. Cong, C. X. Jiang
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Simulation Study on Effects of Order and Step Size of Runge-Kutta Methods that Solve Contagious Disease and Tumor Models. [PDF]
J Comput Sci Syst Biol, 2016 Wang Z, Wang Q, Klinke DJ.
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Strong Stability Preserving Two-Derivative Two-Step Runge-Kutta Methods
MathematicsIn this study, we introduce the explicit strong stability preserving (SSP) two-derivative two-step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht’s approach, comparing to the order conditions expressed in terms of rooted ...
Xueyu Qin, Zhenhua Jiang, Chao Yan
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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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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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Continuous stage stochastic Runge–Kutta methods
Advances in Difference Equations, 2021 In this work, a version of continuous stage stochastic Runge–Kutta (CSSRK) methods is developed for stochastic differential equations (SDEs). First, a general order theory of these methods is established by the theory of stochastic B-series and ...
Xuan Xin, Wendi Qin, Xiaohua Ding
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Parallelization of Runge–Kutta Methods for Hardware Implementation
Computation, 2022 Parallel numerical integration is a valuable tool used in many applications requiring high-performance numerical solvers, which is of great interest nowadays due to the increasing difficulty and complexity in differential problems.
Petr Fedoseev +4 more
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Numerical Simulation of Fuzzy Volterra Integro-differential Equation using Improved Runge-Kutta Method [PDF]
Journal of Applied and Computational Mechanics, 2023 In this research, fourth-order Improved Runge-Kutta method with three stages for solving fuzzy Volterra integro-differential (FVID) equations of the second kind under the concept of generalized Hukuhara differentiability is proposed. The advantage of the
Faranak Rabiei +6 more
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