Edit Profile (opens in new tab) Waters, Alden Co-Author Distance Author ID: waters.alden Published as: Waters, Alden External Links: MGP Documents Indexed: 25 Publications since 2011, including 6 Additional arXiv Preprints Co-Authors: 14 Co-Authors with 16 Joint Publications 290 Co-Co-Authors all top 5 Co-Authors 9 single-authored 5 Strohmaier, Alexander 2 Gimperlein, Heiko 1 Ammari, Habib 1 Carrillo, Hugo 1 Dyatlov, Semyon 1 Fang, Yan-Long 1 Hanisch, Florian 1 Ilmavirta, Joonas 1 Lincopi, Hugo Carrillo 1 Merkurjev, Ekaterina 1 Salazar, Ricardo 1 Waldspurger, Irène 1 Xu, Teke 1 Zhang, Hai all top 5 Serials 3 Communications in Mathematical Sciences 2 Journal of Mathematical Analysis and Applications 2 Communications in Partial Differential Equations 1 Rocky Mountain Journal of Mathematics 1 Duke Mathematical Journal 1 Mathematische Zeitschrift 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Indagationes Mathematicae. New Series 1 SIAM Journal on Optimization 1 Journal of Inverse and Ill-Posed Problems 1 Bulletin des Sciences Mathématiques 1 AMRX. Applied Mathematics Research eXpress 1 Journal of Optimization 1 SN Partial Differential Equations and Applications all top 5 Fields 20 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 78 times in 71 Documents Cited by ▼ Year ▼ Stable determination of X-ray transforms of time dependent potentials from partial boundary data. Zbl 1304.35773 Waters, Alden 18 2014 Stability analysis for magnetic resonance elastography. Zbl 1325.35272 Ammari, Habib; Waters, Alden; Zhang, Hai 12 2015 Rank optimality for the Burer-Monteiro factorization. Zbl 1451.90114 Waldspurger, Irène; Waters, Alden 9 2020 Geometric and obstacle scattering at low energy. Zbl 1460.35245 Strohmaier, Alexander; Waters, Alden 9 2020 A parametrix construction for the wave equation with low regularity coefficients using a frame of Gaussians. Zbl 1295.35011 Waters, Alden 7 2011 Isospectral periodic Torii in dimension 2. Zbl 1332.35239 Waters, Alden 5 2015 A deterministic optimal design problem for the heat equation. Zbl 1353.35315 Gimperlein, Heiko; Waters, Alden 4 2017 Recovery of the sound speed for the acoustic wave equation from phaseless measurements. Zbl 1402.35312 Ilmavirta, Joonas; Waters, Alden 3 2018 Lower resolvent bounds and Lyapunov exponents. Zbl 1337.35121 Dyatlov, Semyon; Waters, Alden 2 2016 Analytic properties of heat equation solutions and reachable sets. Zbl 1495.35093 Strohmaier, Alexander; Waters, Alden 2 2022 Recovery of attenuation coefficients from phaseless measurements for the Helmholtz equation. Zbl 1387.35626 Waters, Alden 1 2018 Stability analysis in magnetic resonance elastography. II. Zbl 1330.35424 Gimperlein, Heiko; Waters, Alden 1 2016 Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models. Zbl 1495.35209 Carrillo, Hugo; Waters, Alden 1 2022 A relative trace formula for obstacle scattering. Zbl 1496.35269 Hanisch, Florian; Strohmaier, Alexander; Waters, Alden 1 2022 The Birman-Krein formula for differential forms and electromagnetic scattering. Zbl 1496.35186 Strohmaier, Alexander; Waters, Alden 1 2022 Low regularity ray tracing for wave equations with Gaussian beams. Zbl 1418.35349 Waters, Alden 1 2019 Unique determination of sound speeds for coupled systems of semi-linear wave equations. Zbl 1421.35207 Waters, Alden 1 2019 Analytic properties of heat equation solutions and reachable sets. Zbl 1495.35093 Strohmaier, Alexander; Waters, Alden 2 2022 Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models. Zbl 1495.35209 Carrillo, Hugo; Waters, Alden 1 2022 A relative trace formula for obstacle scattering. Zbl 1496.35269 Hanisch, Florian; Strohmaier, Alexander; Waters, Alden 1 2022 The Birman-Krein formula for differential forms and electromagnetic scattering. Zbl 1496.35186 Strohmaier, Alexander; Waters, Alden 1 2022 Rank optimality for the Burer-Monteiro factorization. Zbl 1451.90114 Waldspurger, Irène; Waters, Alden 9 2020 Geometric and obstacle scattering at low energy. Zbl 1460.35245 Strohmaier, Alexander; Waters, Alden 9 2020 Low regularity ray tracing for wave equations with Gaussian beams. Zbl 1418.35349 Waters, Alden 1 2019 Unique determination of sound speeds for coupled systems of semi-linear wave equations. Zbl 1421.35207 Waters, Alden 1 2019 Recovery of the sound speed for the acoustic wave equation from phaseless measurements. Zbl 1402.35312 Ilmavirta, Joonas; Waters, Alden 3 2018 Recovery of attenuation coefficients from phaseless measurements for the Helmholtz equation. Zbl 1387.35626 Waters, Alden 1 2018 A deterministic optimal design problem for the heat equation. Zbl 1353.35315 Gimperlein, Heiko; Waters, Alden 4 2017 Lower resolvent bounds and Lyapunov exponents. Zbl 1337.35121 Dyatlov, Semyon; Waters, Alden 2 2016 Stability analysis in magnetic resonance elastography. II. Zbl 1330.35424 Gimperlein, Heiko; Waters, Alden 1 2016 Stability analysis for magnetic resonance elastography. Zbl 1325.35272 Ammari, Habib; Waters, Alden; Zhang, Hai 12 2015 Isospectral periodic Torii in dimension 2. Zbl 1332.35239 Waters, Alden 5 2015 Stable determination of X-ray transforms of time dependent potentials from partial boundary data. Zbl 1304.35773 Waters, Alden 18 2014 A parametrix construction for the wave equation with low regularity coefficients using a frame of Gaussians. Zbl 1295.35011 Waters, Alden 7 2011 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 9 Waters, Alden 7 Kian, Yavar 6 Strohmaier, Alexander 4 Liu, Wencai 3 Ammari, Habib 3 Ben Aïcha, Ibtissem 3 Bretin, Elie 3 Ervedoza, Sylvain 3 Fang, Yan-Long 3 Ilmavirta, Joonas 3 Jiang, Yu 3 Millien, Pierre 3 Oksanen, Lauri 3 Seppecher, Laurent 3 Stefanov, Plamen D. 3 Udell, Madeleine 2 Bao, Gang 2 Berra, Michele 2 Cevher, Volkan 2 Dardé, Jérémi 2 Datchev, Kiril R. 2 Ding, Lijun 2 Feizmohammadi, Ali 2 Gimperlein, Heiko 2 Kuchment, Peter A. 2 Ling, Shuyang 2 Nakamura, Gen 2 Qian, Jianliang 2 Seo, Jin Keun 2 Tropp, Joel A. 2 Yurtsever, Alp 1 Aguayo, Jorge 1 Alosaimi, Moataz 1 Barnhill, Eric 1 Bellassoued, Mourad 1 Bellon, Antonio 1 Bony, Jean-François 1 Bulai, Iulia Martina 1 Carrillo, Hugo 1 Chandler-Wilde, Simon N. 1 Chen, Mo 1 Christiansen, Tanya J. 1 Cordero, Elena 1 Dauge, Monique 1 Davies, Penny J. 1 de Hoop, Maarten V. 1 Dressler, Mareike 1 Fercoq, Olivier 1 Fu, Xiaoyu 1 Fujiié, Setsuro 1 Galkowski, Jeffrey 1 Hanisch, Florian 1 Hartmann, Andreas 1 Hintz, Peter 1 Hu, Guanghui 1 Jin, Long 1 Kungurtsev, Vyacheslav 1 Lai, Jun 1 Lassas, Matti J. 1 Le Balc’h, Kévin 1 Legat, Benoît 1 Lesnic, Daniel 1 Liao, Zhonghua 1 Marchand, Pierre 1 Mareček, Jakub 1 Merkurjev, Ekaterina 1 Narayanan, Vishnu 1 Nicola, Fabio 1 Orsoni, Marcu-Antone 1 Osses, Axel 1 Parrilo, Pablo A. 1 Qian, Shi-Hui 1 Rabieniaharatbar, Siamak 1 Ramond, Thierry 1 Romero, José Luis 1 Rosier, Lionel 1 Sack, Ingolf 1 Saunderson, James 1 Shinde, Nimita 1 Shirota, Kenji 1 Soccorsi, Eric 1 Song, Mengmeng 1 Spence, Euan A. 1 Steinhauer, Dustin 1 Tucsnak, Marius 1 Uhlmann, Gunther Alberto 1 Uschmajew, André 1 Wang, Feng-Yu 1 Wunsch, Jared 1 Xia, Yong 1 Yang, Yang 1 Ying, Lexing 1 Yuan, Chenyang 1 Zerzeri, Maher 1 Zhang, Hai 1 Zhang, Tusheng S. 1 Zhou, Liangdong 1 Zworski, Maciej all top 5 Cited in 41 Serials 6 SIAM Journal on Optimization 4 Communications in Mathematical Physics 4 Inverse Problems 4 SIAM Journal on Control and Optimization 4 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Physics 2 Journal of Differential Equations 2 Acta Mathematicae Applicatae Sinica. English Series 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Journal of Inverse and Ill-Posed Problems 2 Inverse Problems and Imaging 2 Analysis & PDE 2 SIAM Journal on Mathematics of Data Science 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied and Computational Harmonic Analysis 1 Bulletin des Sciences Mathématiques 1 Annales Henri Poincaré 1 Mathematical Modelling and Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 SIAM Journal on Imaging Sciences 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Annales Mathématiques du Québec 1 Journal of Optimization 1 Pure and Applied Analysis all top 5 Cited in 29 Fields 55 Partial differential equations (35-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Numerical analysis (65-XX) 10 Quantum theory (81-XX) 9 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 8 Operator theory (47-XX) 6 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 6 Biology and other natural sciences (92-XX) 3 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year