Results 31 to 40 of about 10,395 (165)
Volume preservation by Runge–Kutta methods [PDF]
17 pages, as submitted to ...
Bader, Philipp +3 more
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Factorized Runge–Kutta–Chebyshev Methods
The second-order extended stability Factorized Runge-Kutta-Chebyshev (FRKC2) class of explicit schemes for the integration of large systems of PDEs with diffusive terms is presented. FRKC2 schemes are straightforward to implement through ordered sequences of forward Euler steps with complex stepsizes, and easily parallelised for large scale problems on
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Explicit Runge-Kutta method is one of the commonly used algorithms to solve the differential equation of constantly gradually varied flow in open channel, which has been studied and popularized by some domestic scholars in recent years.
ZHOU Bin
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Article highlights AGM is the more accurate method than FEM and Runge–Kutta by less than 7 percent error. The maximum difference between the three methods happened near the wall of the vessel.
Payam Jalili +3 more
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Time integration of rectangular membrane free vibration using spline-based differential quadrature [PDF]
In this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation.
Sara Javidpoor +2 more
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Comparison of Some Numerical Simulation Techniques for COVID-19 Model in Iraq
The aim of our study is to solve a nonlinear epidemic model, which is the COVID-19 epidemic model in Iraq, through the application of initial value problems in the current study.
Maha A. Mohammed, Mahdi A. Sabea
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Not available.
Marian Mureşan
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Parallelization of Runge–Kutta Methods for Hardware Implementation
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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Runge–Kutta methods and renormalization [PDF]
A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach.
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Lie Group Method of the Diffusion Equations
The diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie
Jian-Qiang Sun +3 more
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