summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge-Kutta methods is presented. The order of the modified Runge-Kutta method is the same as the standard Runge-Kutta method, but it is superior in energy-preserving to the standard one. Comparing the modified Runge-Kutta method with the standard Runge-Kutta method, numerical experiments are provided to illustrate the effectiveness of the modified Runge-Kutta method
The condition equations are derived by the introduction of a system of equivalent differential equat...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turb...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turb...
summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative sys...
summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative sys...
This centenary history of Runge-Kutta methods contains an appreciation of the early work of Runge, H...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turbu...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turbu...
AbstractA modified Runge-Kutta method with minimal phase-lag is developed for the numerical solution...
We show that while Runge-Kutta methods cannot preserve polynomial invariants in general, they can pr...
Energy-conserving numerical methods are widely employed within the broad area of convection-dominate...
Energy-conserving numerical methods are widely employed within the broad area of convection-dominate...
The condition equations are derived by the introduction of a system of equivalent differential equat...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turb...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turb...
summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative sys...
summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative sys...
This centenary history of Runge-Kutta methods contains an appreciation of the early work of Runge, H...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turbu...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turbu...
AbstractA modified Runge-Kutta method with minimal phase-lag is developed for the numerical solution...
We show that while Runge-Kutta methods cannot preserve polynomial invariants in general, they can pr...
Energy-conserving numerical methods are widely employed within the broad area of convection-dominate...
Energy-conserving numerical methods are widely employed within the broad area of convection-dominate...
The condition equations are derived by the introduction of a system of equivalent differential equat...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turb...
Energy-conserving numerical methods are widely employed in direct and large eddy simulation of turb...