Results 1 to 10 of about 82,352 (141)
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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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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Conservative Continuous-Stage Stochastic Runge–Kutta Methods for Stochastic Differential Equations
Fractal and Fractional, 2023 In this paper, we develop a new class of conservative continuous-stage stochastic Runge–Kutta methods for solving stochastic differential equations with a conserved quantity. The order conditions of the continuous-stage stochastic Runge–Kutta methods are
Xiuyan Li +3 more
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Construction of Two-Derivative Runge–Kutta Methods of Order Six
Algorithms, 2023 Two-Derivative Runge–Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six.
Zacharoula Kalogiratou +1 more
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ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA
Barekeng, 2022 This study discusses the analysis of the Spruce Budworm model using numerical methods, namely the Heun method and the Third Order Runge-Kutta method. The purpose of this study is to determine the numerical results of the Heun method and the Third Order ...
Irwan Irwan +4 more
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