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Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis. [PDF]
J Comput PhysHao W, Lee S, Xu X, Xu Z.
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Modelling the dynamically consistent numerical methods for COVID-19 disease with cost effectiveness strategies. [PDF]
Sci RepLi S +5 more
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Theoretical Modeling of a Bionic Arm with Elastomer Fiber as Artificial Muscle Controlled by Periodic Illumination. [PDF]
Polymers (Basel)Du C, Dai S, Sun Q.
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Numerical sensitivity analysis of the susceptible- infected- susceptible model on two-layer interconnected networks. [PDF]
Sci RepZhou Y, Li Y, Zhang Y.
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A novel hybrid framework for efficient higher order ODE solvers using neural networks and block methods. [PDF]
Sci RepMurugesh V +7 more
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Computer Physics Communications, 1992
It is pointed out that explicit Runge-Kutta methods cannot integrate polynomial solutions of degree greater than 1 exactly, except in the case of quadrature problems. Considerations based on this observation lead to the design of a new exponentially-fitted method. The new method is compared with the method of \textit{T. E. Simos} [Appl. Math. Lett.
Vanden Berghe, G. +3 more
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It is pointed out that explicit Runge-Kutta methods cannot integrate polynomial solutions of degree greater than 1 exactly, except in the case of quadrature problems. Considerations based on this observation lead to the design of a new exponentially-fitted method. The new method is compared with the method of \textit{T. E. Simos} [Appl. Math. Lett.
Vanden Berghe, G. +3 more
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Multiplicative Runge–Kutta methods
Nonlinear Dynamics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Improved Runge–Kutta–Chebyshev methods
Mathematics and Computers in Simulation, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Xiao, Xiao, Aiguo
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Multirate Partitioned Runge-Kutta Methods
BIT Numerical Mathematics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Günther, M., Kværnø, A., Rentrop, P.
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2019
The class of differential equations for which explicit solutions can be obtained is rather small. In fact, in Chap. 3, we have already remarked that to find an explicit solution of the second-order linear differential equation ( 3.2) there does not exist any method.
Ravi P. Agarwal +2 more
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The class of differential equations for which explicit solutions can be obtained is rather small. In fact, in Chap. 3, we have already remarked that to find an explicit solution of the second-order linear differential equation ( 3.2) there does not exist any method.
Ravi P. Agarwal +2 more
openaire +1 more source