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Liviu Ignat
Liviu Ignat
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Title
Cited by
Cited by
Year
A nonlocal convection–diffusion equation
LI Ignat, JD Rossi
Journal of Functional Analysis 251 (2), 399-437, 2007
1722007
Numerical dispersive schemes for the nonlinear Schrödinger equation
LI Ignat, E Zuazua
SIAM journal on numerical analysis 47 (2), 1366-1390, 2009
802009
Decay estimates for nonlocal problems via energy methods
LI Ignat, JD Rossi
Journal de mathématiques pures et appliquées 92 (2), 163-187, 2009
652009
Refined asymptotic expansions for nonlocal diffusion equations
LI Ignat, JD Rossi
Journal of Evolution Equations 8 (4), 617-629, 2008
512008
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
442009
Dispersion for the Schrödinger equation on networks
V Banica, LI Ignat
Journal of mathematical physics 52 (8), 2011
432011
A splitting method for the nonlinear Schrödinger equation
LI Ignat
Journal of Differential Equations 250 (7), 3022-3046, 2011
422011
Dispersive properties of a viscous numerical scheme for the Schrödinger equation
LI Ignat, E Zuazua
Comptes rendus. Mathématique 340 (7), 529-534, 2005
372005
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
362011
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
332005
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
302014
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
272012
Dispersive properties of numerical schemes for nonlinear Schrödinger equations
LI Ignat, E Zuazua
Foundations of computational mathematics, Santander 331 (2006), 181-207, 2005
262005
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
222015
Fully discrete schemes for the Schrödinger equation: Dispersive properties
LI Ignat
Mathematical Models and Methods in Applied Sciences 17 (04), 567-591, 2007
222007
Strichartz estimates for the Schrödinger equation on a tree and applications
LI Ignat
SIAM journal on mathematical analysis 42 (5), 2041-2057, 2010
202010
Asymptotic behavior of solutions to fractional diffusion–convection equations
LI Ignat, D Stan
Journal of the London Mathematical Society 97 (2), 258-281, 2018
192018
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
192015
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
172018
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
172008
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