A nonlocal convection–diffusion equation LI Ignat, JD Rossi Journal of Functional Analysis 251 (2), 399-437, 2007 | 166 | 2007 |
Numerical dispersive schemes for the nonlinear Schrödinger equation LI Ignat, E Zuazua SIAM journal on numerical analysis 47 (2), 1366-1390, 2009 | 74 | 2009 |
Decay estimates for nonlocal problems via energy methods LI Ignat, JD Rossi Journal de mathématiques pures et appliquées 92 (2), 163-187, 2009 | 62 | 2009 |
Refined asymptotic expansions for nonlocal diffusion equations LI Ignat, JD Rossi Journal of Evolution Equations 8 (4), 617-629, 2008 | 50 | 2008 |
Convergence of a two-grid algorithm for the control of the wave equation E Zuazua, LI Ignat Journal of the European Mathematical Society 11 (2), 351-391, 2009 | 43 | 2009 |
Dispersion for the Schrödinger equation on networks V Banica, LI Ignat Journal of mathematical physics 52 (8), 2011 | 42 | 2011 |
A splitting method for the nonlinear Schrödinger equation LI Ignat Journal of Differential Equations 250 (7), 3022-3046, 2011 | 39 | 2011 |
Dispersive properties of a viscous numerical scheme for the Schrödinger equation LI Ignat, E Zuazua Comptes rendus. Mathématique 340 (7), 529-534, 2005 | 36 | 2005 |
Inverse problem for the heat equation and the Schrödinger equation on a tree LI Ignat, AF Pazoto, L Rosier Inverse Problems 28 (1), 015011, 2011 | 34 | 2011 |
A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence LI Ignat, E Zuazua Comptes Rendus. Mathématique 341 (6), 381-386, 2005 | 32 | 2005 |
Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials and on delta trees V Banica, L Ignat Analysis & PDE 7 (4), 903-927, 2014 | 29 | 2014 |
Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations LI Ignat, E Zuazua Journal de mathématiques pures et appliquées 98 (5), 479-517, 2012 | 25 | 2012 |
Dispersive properties of numerical schemes for nonlinear Schrödinger equations LI Ignat, E Zuazua Foundations of computational mathematics, Santander 331 (2006), 181-207, 2005 | 25 | 2005 |
A compactness tool for the analysis of nonlocal evolution equations LI Ignat, TI Ignat, D Stancu-Dumitru SIAM Journal on Mathematical Analysis 47 (2), 1330-1354, 2015 | 21 | 2015 |
Fully discrete schemes for the Schrödinger equation: Dispersive properties LI Ignat Mathematical Models and Methods in Applied Sciences 17 (04), 567-591, 2007 | 21 | 2007 |
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws L Ignat, A Pozo, E Zuazua Mathematics of computation 84 (294), 1633-1662, 2015 | 19 | 2015 |
Strichartz estimates for the Schrödinger equation on a tree and applications LI Ignat SIAM journal on mathematical analysis 42 (5), 2041-2057, 2010 | 18 | 2010 |
The Schrödinger equation on a star-shaped graph under general coupling conditions A Grecu, LI Ignat Journal of Physics A: Mathematical and Theoretical 52 (3), 035202, 2018 | 17 | 2018 |
Asymptotic behavior of solutions to fractional diffusion–convection equations LI Ignat, D Stan Journal of the London Mathematical Society 97 (2), 258-281, 2018 | 17 | 2018 |
Asymptotic behaviour for a nonlocal diffusion equation on a lattice LI Ignat, JD Rossi Zeitschrift für angewandte Mathematik und Physik 59 (5), 918-925, 2008 | 15 | 2008 |