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Liviu I. Ignat

Observed names: Ignat, L., Ignat, L. I., Ignat, L.I., Ignat, Liviu, Ignat, Liviu I., Ignat, Liviu Ioan, L. I. Ignat, LIVIU I. IGNAT, Liviu I Ignat, Liviu Ignat
ORCID: 0000-0002-8748-2086
Observed ORCID: 0000-0002-8748-2086
OpenAlex ID: A5025940407
A nonlocal convection–diffusion equation
2007 · Liviu I. Ignat, Julio D. Rossi · Journal of Functional Analysis · 136
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Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation
2009 · Liviu I. Ignat, Enrique Zuazua · SIAM Journal on Numerical Analysis · 68
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Decay estimates for nonlocal problems via energy methods
2009 · Liviu I. Ignat, Julio D. Rossi · Journal de Mathématiques Pures et Appliquées · 55
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Convergence of a two-grid algorithm for the control of the wave equation
2009 · Liviu I. Ignat, Enrique Zuazua · Journal of the European Mathematical Society · 42
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Dispersion for the Schrödinger equation on networks
2011 · Valeria Banica, Liviu I. Ignat · Journal of Mathematical Physics · 38
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Dispersive properties of a viscous numerical scheme for the Schrödinger equation
2005 · Liviu I. Ignat, Enrique Zuazua · Comptes Rendus Mathématique · 34
A splitting method for the nonlinear Schrödinger equation
2011 · Liviu I. Ignat · Journal of Differential Equations · 33
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A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence
2005 · Liviu I. Ignat, Enrique Zuazua · Comptes Rendus Mathématique · 32
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Refined asymptotic expansions for nonlocal diffusion equations
2008 · Liviu I. Ignat, Julio D. Rossi · Journal of Evolution Equations · 31
Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials and on delta trees
2014 · Valeria Banica, Liviu Ignat · Analysis & PDE · 30
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Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations
2012 · Liviu I. Ignat, Enrique Zuazua · Journal de Mathématiques Pures et Appliquées · 25
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Fully Discrete Schemes for the Schrödinger Equation: Dispersive Properties
2007 · LIVIU I. IGNAT · Mathematical Models and Methods in Applied Sciences · 21
Strichartz Estimates for the Schrödinger Equation on a Tree and Applications
2010 · Liviu I. Ignat · SIAM Journal on Mathematical Analysis · 20
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws
2014 · Liviu Ignat, Alejandro Pozo, et al. · Mathematics of Computation · 19
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A Compactness Tool for the Analysis of Nonlocal Evolution Equations
2015 · Liviu I. Ignat, Tatiana I. Ignat, et al. · SIAM Journal on Mathematical Analysis · 18
Inverse problem for the heat equation and the Schrödinger equation on a tree
2011 · Liviu I Ignat, Ademir F Pazoto, et al. · Inverse Problems · 18
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Asymptotic behavior of solutions to fractional diffusion–convection equations
2018 · Liviu I. Ignat, Diana Stan · Journal of the London Mathematical Society · 15
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The Schrödinger equation on a star-shaped graph under general coupling conditions
2018 · Andreea Grecu, Liviu I Ignat · Journal of Physics A Mathematical and Theoretical · 14
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Null-Controllability of the Linear Kuramoto--Sivashinsky Equation on Star-Shaped Trees
2018 · Cristian M. Cazacu, Liviu I. Ignat, et al. · SIAM Journal on Control and Optimization · 14
Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space
2012 · Liviu I. Ignat, Julio D. Rossi, et al. · Journal of Differential Equations · 14
Asymptotic behaviour for a nonlocal diffusion equation on a lattice
2007 · Liviu I. Ignat, Julio D. Rossi · Zeitschrift für angewandte Mathematik und Physik · 11
Large time behaviour for a nonlocal diffusion - convection equation related with gas dynamics
2014 · Liviu I. Ignat, Ademir F. Pazoto · Discrete and Continuous Dynamical Systems · 9
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Asymptotic expansions for nonlocal diffusion equations in L q -norms for 1 ⩽ q ⩽ 2
2009 · Liviu I. Ignat, Julio D. Rossi · Journal of Mathematical Analysis and Applications · 9
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Dispersive Properties of Numerical Schemes for NSE
2006 · Liviu I. Ignat, Enrique Zuazua · Cambridge University Press eBooks · 9
On the asymptotic behavior of a subcritical convection-diffusion equation with nonlocal diffusion
2017 · Cristian M Cazacu, Liviu I Ignat, et al. · Nonlinearity · 7
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Works count: 74
Citation count: 756
H-index: 16
I10-index: 21
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