Publications [selected] [complete] [by subject classification] [significant] [Centpack] [selected references] [Acknowledgement] Selected Publications   Complete List of Publications [1975-1980] [1981-1985] [1986-1990] [1991-1995] [1996-2000] [2001-2005] [2006-2010] [2011-2015] [2016-2020] Publications by Subject Classification Stability of time-dependent schemes (linear) The numerical radius and its application Stability and power-boundedness Stability of Runge-Kutta schemes Stability of difference schemes and spectral methods for initial value problems Stability of difference approximations for initial-boundary value problems Hyperbolic problems Hyperbolic systems with different time scales Convection diffusion problems Convection diffusion problems. Regularity and homogenization Incompressible Euler, Navier-Stokes and related equations Critical threshold phenomena in Euler dynamics Nonlinear conservation laws Entropy functions and regularity Kinetic formulations of nonlinear conservation laws Approximate methods for nonlinear conservation laws Reviews and overviews Nonlinear finite difference approximations. Total-variation and entropy stability Convergence rate estimates Non-oscillatory central schemes Nonlinear conservation laws Incompressible Euler equations Hamilton-Jacobi equations Approximate methods -- spectral schemes Spectral recovery and detection of edges in spectral data Stability and convergence of spectral methods Spectral viscosity approximations Image processing Multiscale representation Eigensolvers The divide and conquer method CentPack: A package of high-resolution central schemes for nonlinear conservation laws   Selected references on • Entropy stability • Convergence rate • Spectral viscosity • Hierrachical decompositions • Critical thresholds Acknowledgement. The research presented in these publications has been sponsored by the National Science Foundation Grants DMS 97-06827, DMS 01-07428, DMS 01-07917, DMS 04-07704, DMS 07-07949, DMS FRG 07-57227, DMS 10-08397 and RNMS 11-07444 (KI-Net), by the Office of Naval Research Grants N00014-91-J-1076, N00014-09-1-0385 N00014-15-12094 and by other US Government Agencies.