K. Kopotun, M. Neamtu, and B. Popov, Weakly Non-Oscillatory Schemes for Scalar Conservation Laws, Math. Comp. 72 (2003), 1747--1767. 

S. Konyagin, B. Popov and O. Trifonov, On convergence of minmod type schemes,  SINUM 42 (2005) ,  1978-1997.

B. Popov and O. Trifonov, Order of convergence of minmod-type schemes, Math. Comp. 75 (2006), 1735--1753. 

J. Liu, B. Popov, H. Wang, and R. E. Ewing, Convergence analysis of wavelet schemes for convection-reaction equations under minimal regularity assumptions,  SINUM 43 (2005) , 521-539.

A. Kurganov, G. Petrova and B. Popov, Adaptive Semi-discrete Central-upwind Schemes, SIAM J. Sci. Comput., 29 (2007) , pp. 2381-2401.

Y. Efendiev and B. Popov, On homogenization of nonlinear hyperbolic equations, Communications on Pure and Applied Analysis 4 (2005) ,  297-311.

B. Popov and O. Trifonov,  One-Sided Stability and Convergence of the Nessyahu-Tadmor Scheme, Numerische Mathematik 104 (2006),  539-559.

J.-L. Guermond and B. Popov, Linear advection with ill-posed boundary conditions via $L¹$-minimization, Numerical Analysis & Modeling 4 (2007), 39-47.

J.-L. Guermond and B. Popov, $L^1$-minimization methods for Hamilton-Jacobi equations: the one-dimensional case, Numerische Mathematics, 109 (2008) , pp. 269-284.

J.-L. Guermond and B. Popov, $L^1$-approximation of stationary Hamilton-Jacobi equations, submitted to SINUM.

 J.-L. Guermond,  F. Marpeau, and B. Popov, A fast algorithm  for solving first-order PDEs by $L^{1}$-minimization, Communications in Mathematical Sciences 6 (2008), 199-216.

 I. Christov and and B. Popov, New nonoscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws,  Journal of Computational Physics, 227 (2008), pp. 5736-5757.

 J.-L. Guermond and B. Popov, An optimal L1 minimization algorithm for stationary Hamilton-Jacobi equations, submitted.

B. Popov, Linear transport equations with continuous solutions, (in preparation).

B. Popov and P. Popov, A second order fully discrete scheme for Hamilton-Jacobi equations on triangular grids, (in preparation).

B. Popov, Second order schemes and entropy, (in preparation).