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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A second order accurate, decoupled numerical scheme for magnetohydrodynamic equations
磁流体 动力学方程 二阶精确解 耦数值方案
2023/4/27
A temporally second-order accurate, fully discrete finite element method is proposed and analyzed for the magnetohydrodynamic (MHD) equations. A modified Crank-Nicolson method is used to discretize th...
A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
Burgers-Huxley Finite-Difference Method Modified Predictor-Corrector
2013/1/30
A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, whic...
Convergence order of a numerical scheme for sweeping process
Differential inclusions Subdifferential calculus Numerical analysis Predictioncorrection
2010/12/6
In this paper, we show that the convergence order of the numerical scheme introduced in [12] for sweeping processes is equal to one. The considered differential inclusions involve a set-valued map, gi...
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
Numerical Scheme Quantum Boltzmann Equation Efficient
2010/12/8
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes
was introduced in ...