A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
We present a new third-order, semidiscrete, central method for approximating solutions to multidimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems. Our method is a high-order extension of the recently proposed second-order, semidiscrete method in [A. Kurgonov and E. Tadmor, J. Comput Phys., 160 (2000) pp. 241--282]. The …