Recent Publications

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

• 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, SINUM, 47 (2008/2009) , pp. 339-362.

• 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, Communications in Mathematical Sciences 7 (2009), pp. 211-238.

• K. Kopotun and B. Popov, Moduli of Smoothness of Splines and Applications in Constrained Approximation, Jaén Journal on Approximation, vol. 2, no. 1, 2010, pp.77-89.

• V. Dobrev, J.-L. Guermond and B. Popov, Surface reconstruction and image enhancement via L1-minimization, SIAM J. Sci. Comput., 32:3 (2010) 1591-1616.

• J.-.L. GUERMOND, R. PASQUETTI, B. POPOV, Entropy viscosity method for nonlinear conservation laws, J. Comput. Phys., 230 (2011) 4248-4267.

• Orhan Mehmetoglu and Bojan Popov, Maximum principle and convergence of central schemes based on slope limiters, Math. Comp., (2011), in press