参考文献:

1.中心格式

Non-oscillatory Central Differencing for Hyperbolic Conservation Laws

HIGH-RESOLUTION NONOSCILLATORY CENTRAL SCHEMES FOR HAMILTONJACOBI EQUATIONS

On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes

 

2.CFOR scheme

Burgers’ equation with high Reynolds number

Conjugate filter approach for solving Burgers equation

 

3.WENO Scheme

Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws

On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes

Hermite WENO schemes for HamiltonJacobi equations

FINITE DIFFERENCE WENO SCHEMES WITH LAXWENDROFF-TYPE TIME DISCRETIZATIONS

 

4.Discontinuous Galerkin Methods

RungeKutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Hermite WENO schemes and their application as limiters for RungeKutta discontinuous Galerkin method: one-dimensional case

 

5.        Lax-Wendroff  时间离散

   FINITE DIFFERENCE WENO SCHEMES WITH LAXWENDROFF-TYPE TIME DISCRETIZATIONS