This report presents a family of non-oscillatory, second-order, central difference schemes for hyperbolic conservation laws. The schemes are based on the Lax-Friedrichs (LxF) solver and MUSCL-type interpolants, avoiding the need to solve Riemann problems. The main advantage is simplicity, but the excessive numerical viscosity of the LxF solver is compensated by high-resolution MUSCL interpolants. Numerical experiments show that the quality of results obtained by these schemes is comparable to upwind schemes. The report includes derivations of the schemes, analysis of their properties, and extensions to systems of conservation laws. The schemes are shown to satisfy Total Variation Diminishing (TVD) and cell entropy inequalities, ensuring convergence to the unique entropy solution for genuinely nonlinear scalar cases. Examples using the Burger's equation and the Euler equations demonstrate the schemes' effectiveness and robustness.This report presents a family of non-oscillatory, second-order, central difference schemes for hyperbolic conservation laws. The schemes are based on the Lax-Friedrichs (LxF) solver and MUSCL-type interpolants, avoiding the need to solve Riemann problems. The main advantage is simplicity, but the excessive numerical viscosity of the LxF solver is compensated by high-resolution MUSCL interpolants. Numerical experiments show that the quality of results obtained by these schemes is comparable to upwind schemes. The report includes derivations of the schemes, analysis of their properties, and extensions to systems of conservation laws. The schemes are shown to satisfy Total Variation Diminishing (TVD) and cell entropy inequalities, ensuring convergence to the unique entropy solution for genuinely nonlinear scalar cases. Examples using the Burger's equation and the Euler equations demonstrate the schemes' effectiveness and robustness.