A. Harten, “High Resolutions Schemes for Hyperbolic Conservation Laws”, Journal of Computational Physics, 49 (1983), pp.357-393.
S.K. Godunov, “A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics”, Mathmaticheskii Sbornik, 47 (1959), pp.271-306.
Z. Sun, S. Inaba, F. Xiao, “Boundary Variation Diminishing (BVD) reconstruction: A new approach to improve Godunov schemes”, Journal of Computational Physics, 322 (2016), pp.309-325.
X. Deng, Y. Shimizu, F. Xiao, “A fifth-order shock capturing scheme with two-stage boundary variation diminishing algorithm”, Journal of Computational Physics, 386 (2019), pp.323-349.
X. Deng, Y. Shimizu, B. Xie, F. Xiao, “Constructing higher order discontinuity-capturing schemes with upwind-biased interpolations and boundary variation diminishing algorithm”, Computers and Fluids, 200 (2020), p.104433.