A truncation error analysis of third‐order MUSCL scheme for nonlinear conservation laws
A truncation error analysis of third‐order MUSCL scheme for nonlinear conservation laws
This paper is a rebuttal to the claim found in the literature that the MUSCL scheme cannot be third-order accurate for nonlinear conservation laws. We provide a rigorous proof for third-order accuracy of the MUSCL scheme based on a careful and detailed truncation error analysis. Throughout the analysis, the distinction …