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ORCIDEnrique Zuazua
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2020 – today
- 2025
[j79]Umberto Biccari, Enrique Zuazua:
Gaussian Beam Ansatz for Finite Difference Wave Equations. Found. Comput. Math. 25(1): 1-54 (2025)- [j78]Yongcun Song
, Ziqi Wang, Enrique Zuazua:
FedADMM-InSa: An inexact and self-adaptive ADMM for federated learning. Neural Networks 181: 106772 (2025) - [j77]Jon Asier Bárcena-Petisco, Enrique Zuazua:
Tracking Controllability for the Heat Equation. IEEE Trans. Autom. Control. 70(3): 1935-1940 (2025) - [i20]Albert Alcalde, Giovanni Fantuzzi, Enrique Zuazua:
Exact Sequence Classification with Hardmax Transformers. CoRR abs/2502.02270 (2025) - 2024
- [j76]Martin Lazar, Enrique Zuazua:
Eigenvalue bounds for the Gramian operator of the heat equation. Autom. 164: 111653 (2024) - [j75]Antonio Álvarez-López, Arselane Hadj Slimane, Enrique Zuazua:
Interplay between depth and width for interpolation in neural ODEs. Neural Networks 180: 106640 (2024) - [j74]Daniel W. M. Veldman, Alexandra Borkowski, Enrique Zuazua:
Stability and Convergence of a Randomized Model Predictive Control Strategy. IEEE Trans. Autom. Control. 69(9): 6253-6260 (2024) - [c6]Ilias Ftouhi, Enrique Zuazua:
Optimal Placement and Shape Design of Sensors via Geometric Criteria. ECC 2024: 834-837 - [i19]Antonio Álvarez-López, Arselane Hadj Slimane, Enrique Zuazua:
Interplay between depth and width for interpolation in neural ODEs. CoRR abs/2401.09902 (2024) - [i18]Gino I. Montecinos, Rodrigo Lecaros, Juan Carlos López Ríos, Enrique Zuazua:
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements. CoRR abs/2401.17239 (2024) - [i17]Yongcun Song, Ziqi Wang, Enrique Zuazua:
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning. CoRR abs/2402.13989 (2024) - [i16]Albert Alcalde, Giovanni Fantuzzi, Enrique Zuazua:
Clustering in pure-attention hardmax transformers and its role in sentiment analysis. CoRR abs/2407.01602 (2024) - [i15]Ziqian Li, Kang Liu, Lorenzo Liverani, Enrique Zuazua:
Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications. CoRR abs/2407.17092 (2024) - [i14]Martín Hernández, Enrique Zuazua:
Deep Neural Networks: Multi-Classification and Universal Approximation. CoRR abs/2409.06555 (2024) - [i13]Kang Liu, Ziqi Wang, Enrique Zuazua:
A Potential Game Perspective in Federated Learning. CoRR abs/2411.11793 (2024) - [i12]Kang Liu, Enrique Zuazua:
Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics. CoRR abs/2412.01619 (2024) - 2023
- [j73]Umberto Biccari, Enrique Zuazua:
Multilevel control by duality. Syst. Control. Lett. 175: 105502 (2023) - [j72]Domènec Ruiz-Balet, Enrique Zuazua:
Neural ODE Control for Classification, Approximation, and Transport. SIAM Rev. 65(3): 735-773 (2023) - [i11]Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat, Alba Lia Masiello, Gloria Paoli, Enrique Zuazua:
Finite element approximation of the Hardy constant. CoRR abs/2308.01580 (2023) - [i10]Ziqi Wang, Yongcun Song, Enrique Zuazua:
Approximate and Weighted Data Reconstruction Attack in Federated Learning. CoRR abs/2308.06822 (2023) - [i9]Antonio Álvarez-López, Rafael Orive-Illera, Enrique Zuazua:
Optimized classification with neural ODEs via separability. CoRR abs/2312.13807 (2023) - 2022
- [j71]Borjan Geshkovski, Enrique Zuazua:
Turnpike in optimal control of PDEs, ResNets, and beyond. Acta Numer. 31: 135-263 (2022) - [j70]Yesim Saraç, Enrique Zuazua:
Sidewise Profile Control of 1-D Waves. J. Optim. Theory Appl. 193(1): 931-949 (2022) - [j69]Carlos Esteve, Hicham Kouhkouh, Dario Pighin, Enrique Zuazua:
The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Math. Control. Signals Syst. 34(4): 819-853 (2022) - [j68]Shi Jin, Yuhua Zhu, Enrique Zuazua:
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Numerische Mathematik 150(2): 479-519 (2022) - [j67]Daniel W. M. Veldman, Enrique Zuazua:
A framework for randomized time-splitting in linear-quadratic optimal control. Numerische Mathematik 151(2): 495-549 (2022) - [j66]Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua:
Interpolation and approximation via Momentum ResNets and Neural ODEs. Syst. Control. Lett. 162: 105182 (2022) - [j65]Zhong-Jie Han, Enrique Zuazua:
Slow Decay and Turnpike for Infinite-Horizon Hyperbolic Linear Quadratic Problems. SIAM J. Control. Optim. 60(4): 2440-2468 (2022) - [j64]Carlos Esteve Yagüe, Enrique Zuazua:
Differentiability With Respect to the Initial Condition for Hamilton-Jacobi Equations. SIAM J. Math. Anal. 54(5): 5388-5423 (2022) - [j63]Thibault Liard, Enrique Zuazua:
Initial Data Identification for the One-Dimensional Burgers Equation. IEEE Trans. Autom. Control. 67(6): 3098-3104 (2022) - [j62]Borjan Geshkovski, Enrique Zuazua:
Optimal Actuator Design via Brunovsky's Normal Form. IEEE Trans. Autom. Control. 67(12): 6641-6650 (2022) - [i8]Alexandre Francisco, Umberto Biccari, Enrique Zuazua:
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation. CoRR abs/2210.03798 (2022) - 2021
- [j61]Noboru Sakamoto, Enrique Zuazua:
The turnpike property in nonlinear optimal control - A geometric approach. Autom. 134: 109939 (2021) - [j60]Jon Asier Bárcena-Petisco, Enrique Zuazua:
Averaged dynamics and control for heat equations with random diffusion. Syst. Control. Lett. 158: 105055 (2021) - [j59]Borjan Geshkovski, Enrique Zuazua:
Controllability of One-Dimensional Viscous Free Boundary Flows. SIAM J. Control. Optim. 59(3): 1830-1850 (2021) - [j58]Jan Heiland, Enrique Zuazua:
Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. SIAM J. Control. Optim. 59(5): 3600-3624 (2021) - [i7]Borjan Geshkovski, Enrique Zuazua:
Optimal actuator design via Brunovsky's normal form. CoRR abs/2108.05629 (2021) - 2020
- [j57]Umberto Biccari, Aurora Marica, Enrique Zuazua:
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation. Found. Comput. Math. 20(6): 1401-1438 (2020) - [j56]Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Enrique Zuazua:
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. J. Frankl. Inst. 357(12): 8156-8180 (2020) - [j55]Gontran Lance, Emmanuel Trélat, Enrique Zuazua:
Shape turnpike for linear parabolic PDE models. Syst. Control. Lett. 142: 104733 (2020) - [j54]Azahar Monge, Enrique Zuazua:
Sparse source identification of linear diffusion-advection equations by adjoint methods. Syst. Control. Lett. 145: 104801 (2020) - [j53]Carlos Esteve, Enrique Zuazua:
The Inverse Problem for Hamilton-Jacobi Equations and Semiconcave Envelopes. SIAM J. Math. Anal. 52(6): 5627-5657 (2020) - [i6]Carlos Esteve, Borjan Geshkovski, Dario Pighin, Enrique Zuazua:
Large-time asymptotics in deep learning. CoRR abs/2008.02491 (2020) - [i5]Carlos Esteve, Borjan Geshkovski, Dario Pighin, Enrique Zuazua:
Turnpike in Lipschitz-nonlinear optimal control. CoRR abs/2011.11091 (2020)
2010 – 2019
- 2019
- [j52]Mario Morales-Hernández, Enrique Zuazua:
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Comput. Appl. Math. 38(4) (2019) - [j51]Roberta Bianchini, Laurent Gosse, Enrique Zuazua:
A Two-Dimensional "Flea on the Elephant" Phenomenon and its Numerical Visualization. Multiscale Model. Simul. 17(1): 137-166 (2019) - [j50]Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua:
Greedy optimal control for elliptic problems and its application to turnpike problems. Numerische Mathematik 141(2): 455-493 (2019) - [j49]Pierre Lissy, Enrique Zuazua:
Internal Observability for Coupled Systems of Linear Partial Differential Equations. SIAM J. Control. Optim. 57(2): 832-853 (2019) - [c5]Noboru Sakamoto, Dario Pighin, Enrique Zuazua:
The turnpike property in nonlinear optimal control - A geometric approach. CDC 2019: 2422-2427 - [i4]Umberto Biccari, Noboru Sakamoto, Eneko Unamuno, Danel Madariaga, Enrique Zuazua, Jon Andoni Barrena:
Model Reduction of Converter-Dominated Power Systems by Singular Perturbation Theory. CoRR abs/1910.09222 (2019) - [i3]Shi Jin, Yuhua Zhu, Enrique Zuazua:
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term. CoRR abs/1910.12141 (2019) - [i2]Gontran Lance, Emmanuel Trélat, Enrique Zuazua:
Turnpike in optimal shape design. CoRR abs/1912.02621 (2019) - 2018
- [j48]Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua:
Minimal controllability time for finite-dimensional control systems under state constraints. Autom. 96: 380-392 (2018) - [j47]Emmanuel Trélat, Can Zhang, Enrique Zuazua:
Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces. SIAM J. Control. Optim. 56(2): 1222-1252 (2018) - 2017
- [j46]Enrique Zuazua:
Large time control and turnpike properties for wave equations. Annu. Rev. Control. 44: 199-210 (2017) - [j45]Alessio Porretta, Enrique Zuazua:
Numerical hypocoercivity for the Kolmogorov equation. Math. Comput. 86(303): 97-119 (2017) - [j44]Zhong-Jie Han, Enrique Zuazua:
Decay rates for elastic-thermoelastic star-shaped networks. Networks Heterog. Media 12(3): 461-488 (2017) - [j43]Yannick Privat, Emmanuel Trélat, Enrique Zuazua:
Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method. SIAM J. Control. Optim. 55(2): 1128-1152 (2017) - [j42]Felipe Wallison Chaves Silva, Xu Zhang, Enrique Zuazua:
Controllability of Evolution Equations with Memory. SIAM J. Control. Optim. 55(4): 2437-2459 (2017) - 2016
- [j41]Martin Lazar, Enrique Zuazua:
Greedy controllability of finite dimensional linear systems. Autom. 74: 327-340 (2016) - [j40]Ramón Escobedo, Aitziber Ibañez, Enrique Zuazua:
Optimal strategies for driving a mobile agent in a "guidance by repulsion" model. Commun. Nonlinear Sci. Numer. Simul. 39: 58-72 (2016) - [j39]Qi Lü, Enrique Zuazua:
On the lack of controllability of fractional in time ODE and PDE. Math. Control. Signals Syst. 28(2): 10:1-10:21 (2016) - [j38]Rodrigo Lecaros, Enrique Zuazua:
Control of 2D scalar conservation laws in the presence of shocks. Math. Comput. 85(299): 1183-1224 (2016) - [j37]Zhong-Jie Han, Enrique Zuazua:
Decay rates for $1-d$ heat-wave planar networks. Networks Heterog. Media 11(4): 655-692 (2016) - [j36]Martin Gugat, Emmanuel Trélat, Enrique Zuazua:
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Syst. Control. Lett. 90: 61-70 (2016) - [j35]Enrique Zuazua:
Stable observation of additive superpositions of Partial Differential Equations. Syst. Control. Lett. 93: 21-29 (2016) - [j34]Enrique Fernández-Cara, Qi Lü, Enrique Zuazua:
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms. SIAM J. Control. Optim. 54(4): 2009-2019 (2016) - 2015
- [j33]Aurora Marica, Enrique Zuazua:
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach. Found. Comput. Math. 15(6): 1571-1636 (2015) - [j32]Vincent Lescarret, Enrique Zuazua:
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Math. Comput. 84(291): 119-152 (2015) - [j31]Liviu I. Ignat, Alejandro Pozo, Enrique Zuazua:
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Math. Comput. 84(294): 1633-1662 (2015) - [j30]Sylvain Ervedoza, Enrique Zuazua:
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Numerische Mathematik 130(3): 425-466 (2015) - [i1]Ramón Escobedo, Aitziber Ibañez, Enrique Zuazua:
Optimal strategies for driving a mobile agent in a guidance by repulsion model. CoRR abs/1509.05008 (2015) - 2014
- [j29]Enrique Zuazua:
Averaged control. Autom. 50(12): 3077-3087 (2014) - [c4]Yannick Privat, Emmanuel Trélat, Enrique Zuazua:
Optimal shape and location of sensors or actuators in PDE models. ACC 2014: 4063-4068 - 2013
- [j28]Eduardo Casas, Enrique Zuazua:
Spike controls for elliptic and parabolic PDEs. Syst. Control. Lett. 62(4): 311-318 (2013) - [j27]Alessio Porretta, Enrique Zuazua:
Long Time versus Steady State Optimal Control. SIAM J. Control. Optim. 51(6): 4242-4273 (2013) - 2012
- [j26]José M. Arrieta, María López-Fernández, Enrique Zuazua:
Approximating travelling waves by equilibria of non-local equations. Asymptot. Anal. 78(3): 145-186 (2012) - [j25]Gengsheng Wang, Enrique Zuazua:
On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations. SIAM J. Control. Optim. 50(5): 2938-2958 (2012) - [j24]Aurora Marica, Enrique Zuazua:
On the Quadratic Finite Element Approximation of One-Dimensional Waves: Propagation, Observation, and Control. SIAM J. Numer. Anal. 50(5): 2744-2777 (2012) - 2011
- [j23]Juan Casado-Díaz, Carlos Castro, Manuel Luna-Laynez, Enrique Zuazua:
Numerical Approximation of a One-Dimensional Elliptic Optimal Design Problem. Multiscale Model. Simul. 9(3): 1181-1216 (2011) - [j22]Carlos Castro, Enrique Zuazua:
Flux identification for 1-d scalar conservation laws in the presence of shocks. Math. Comput. 80(276): 2025-2070 (2011) - [j21]Sorin Micu, Enrique Zuazua:
Regularity issues for the null-controllability of the linear 1-d heat equation. Syst. Control. Lett. 60(6): 406-413 (2011) - 2010
- [j20]Fágner D. Araruna, Pablo Braz e Silva, Enrique Zuazua:
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system. J. Syst. Sci. Complex. 23(3): 414-430 (2010)
2000 – 2009
- 2009
- [j19]Julie Valein, Enrique Zuazua:
Stabilization of the Wave Equation on 1-d Networks. SIAM J. Control. Optim. 48(4): 2771-2797 (2009) - [j18]Judith Vancostenoble, Enrique Zuazua:
Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials. SIAM J. Math. Anal. 41(4): 1508-1532 (2009) - [j17]Liviu I. Ignat, Enrique Zuazua:
Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 47(2): 1366-1390 (2009) - 2008
- [j16]Sylvain Ervedoza, Enrique Zuazua:
Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves. Numerische Mathematik 109(4): 597-634 (2008) - [j15]Fágner D. Araruna, Enrique Zuazua:
Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin-Timoshenko System. SIAM J. Control. Optim. 47(4): 1909-1938 (2008) - 2007
- [j14]Louis Roder Tcheugoué Tébou, Enrique Zuazua:
Uniform boundary stabilization of the finite difference space discretization of the 1-d wave equation. Adv. Comput. Math. 26(1-3): 337-365 (2007) - 2006
- [j13]Sorin Micu, Enrique Zuazua:
On the Controllability of a Fractional Order Parabolic Equation. SIAM J. Control. Optim. 44(6): 1950-1972 (2006) - [j12]Mihaela Negreanu, Enrique Zuazua:
Discrete Ingham Inequalities and Applications. SIAM J. Numer. Anal. 44(1): 412-448 (2006) - 2005
- [j11]Rafael Orive-Illera, Enrique Zuazua:
Finite Difference Approximation of Homogenization Problems for Elliptic Equations. Multiscale Model. Simul. 4(1): 36-87 (2005) - [j10]Enrique Zuazua:
Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods. SIAM Rev. 47(2): 197-243 (2005) - [c3]Mihaela Negreanu, Enrique Zuazua:
Convergence of a multi-grid algorithm for the controllability of the wave equation. CDC/ECC 2005: 404-409 - [c2]Mihaela Negreanu, Enrique Zuazua:
Uniform observability of the wave equation via a discrete Ingham inequality. CDC/ECC 2005: 3158-3163 - 2004
- [j9]Carlos Castro, Enrique Zuazua:
Unique Continuation and Control for the Heat Equation from an Oscillating Lower Dimensional Manifold. SIAM J. Control. Optim. 43(4): 1400-1434 (2004) - 2003
- [j8]G. Perla Menzala, Enrique Zuazua:
The energy decay rate for the modified Von Kármán system of thermoelastic plates: An improvement. Appl. Math. Lett. 16(4): 531-534 (2003) - [j7]D. Chenais, Enrique Zuazua:
Controllability of an Elliptic equation and its Finite Difference Approximation by the Shape of the Domain. Numerische Mathematik 95(1): 63-99 (2003) - [j6]Louis Roder Tcheugoué Tébou, Enrique Zuazua:
Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity. Numerische Mathematik 95(3): 563-598 (2003) - [j5]Mihaela Negreanu, Enrique Zuazua:
Uniform boundary controllability of a discrete 1-D wave equation. Syst. Control. Lett. 48(3-4): 261-279 (2003) - [j4]Jaime H. Ortega, Enrique Zuazua:
Addendum to "Generic Simplicity of the Spectrum and Stabilization for a Plate Equation". SIAM J. Control. Optim. 42(5): 1905-1910 (2003) - 2002
- [j3]Anna Doubova, Enrique Fernández-Cara, Manuel González-Burgos, Enrique Zuazua:
On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient. SIAM J. Control. Optim. 41(3): 798-819 (2002) - [c1]Enrique Zuazua:
Remarks on the controllability of the Schrödinger equation. CRM Workshop 2002: 193-211 - 2000
- [j2]Carlos Castro, Enrique Zuazua:
Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density. SIAM J. Appl. Math. 60(4): 1205-1233 (2000) - [j1]Jaime H. Ortega, Enrique Zuazua:
Generic Simplicity of the Spectrum and Stabilization for a Plate Equation. SIAM J. Control. Optim. 39(5): 1585-1614 (2000)
Coauthor Index
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