Edit Profile Sheils, Natalie E. Compute Distance To: Compute Author ID: sheils.natalie-e Published as: Sheils, N. E.; Sheils, Natalie; Sheils, Natalie E. External Links: ORCID Documents Indexed: 11 Publications since 2011 all top 5 Co-Authors 1 single-authored 6 Deconinck, Bernard 3 Smith, David Andrew 2 Nguyen, Nghiem V. 2 Olver, Peter John 2 Tian, Rushun 1 Hoffman, Kathleen A. 1 Kiemel, Tim 1 Previte, Joseph P. 1 Tytell, Eric D. all top 5 Serials 2 Studies in Applied Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Quarterly of Applied Mathematics 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Journal of Geometric Mechanics all top 5 Fields 9 Partial differential equations (35-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 8 Publications have been cited 53 times in 38 Documents Cited by ▼ Year ▼ Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie 20 2013 The linear KdV equation with an interface. Zbl 1351.35170Deconinck, Bernard; Sheils, Natalie E.; Smith, David A. 8 2016 Interface problems for dispersive equations. Zbl 1314.35125Sheils, Natalie E.; Deconinck, Bernard 7 2015 Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195Sheils, Natalie E.; Deconinck, Bernard 6 2016 Heat equation on a network using the Fokas method. Zbl 1326.80011Sheils, N. E.; Smith, D. A. 6 2015 Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002Sheils, Natalie E.; Deconinck, Bernard 3 2014 Entrainment ranges of forced phase oscillators. Zbl 1232.92030Previte, Joseph P.; Sheils, Natalie; Hoffman, Kathleen A.; Kiemel, Tim; Tytell, Eric D. 2 2011 Multilayer diffusion in a composite medium with imperfect contact. Zbl 1443.74105Sheils, Natalie E. 1 2017 Multilayer diffusion in a composite medium with imperfect contact. Zbl 1443.74105Sheils, Natalie E. 1 2017 The linear KdV equation with an interface. Zbl 1351.35170Deconinck, Bernard; Sheils, Natalie E.; Smith, David A. 8 2016 Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195Sheils, Natalie E.; Deconinck, Bernard 6 2016 Interface problems for dispersive equations. Zbl 1314.35125Sheils, Natalie E.; Deconinck, Bernard 7 2015 Heat equation on a network using the Fokas method. Zbl 1326.80011Sheils, N. E.; Smith, D. A. 6 2015 Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002Sheils, Natalie E.; Deconinck, Bernard 3 2014 Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie 20 2013 Entrainment ranges of forced phase oscillators. Zbl 1232.92030Previte, Joseph P.; Sheils, Natalie; Hoffman, Kathleen A.; Kiemel, Tim; Tytell, Eric D. 2 2011 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 4 Saanouni, Tarek 3 Sheils, Natalie E. 2 Biondini, Gino 2 Cavalcante, Márcio 2 Deconinck, Bernard 2 Gou, Tianxiang 2 Jeanjean, Louis 2 Nguyen, Nghiem V. 2 Pastor, Ademir 2 Su, Yiming 2 Wang, Zhi-Qiang 2 Yagi, Atsushi 1 Bhattarai, Santosh 1 Bunoiu, Renata 1 Carr, Elliot Joseph 1 Cassano, Biagio 1 Clapp, Geoffrey D. 1 Colbrook, Matthew J. 1 Crépeau, Emmanuelle 1 Farah, Luiz Gustavo 1 Favini, Angelo 1 Feng, Binhua 1 Fokas, Athanassios S. 1 Fokas, Thanasis S. 1 Gao, Yanfang 1 Guo, Qing 1 Hashemzadeh, Parham 1 Hezzi, Hanen 1 Hezzi, Hanene 1 Himonas, A. Alexandrou 1 Hoffman, Kathleen A. 1 Iwasaki, Satoru 1 Jia, HuiFang 1 Kiemel, Tim 1 Li, Gongbao 1 Liu, Chuangye 1 Liu, Quanxing 1 Luo, Xiao 1 Mantzavinos, Dionyssios 1 March, Nathan G. 1 Massarelli, Nicole 1 Miller, Peter D. 1 Mugnolo, Delio 1 Muñoz, Claudio 1 Noja, Diego 1 Nour, M. M. 1 Precup, Radu 1 Rybalko, Yan 1 Seifert, Christian 1 Smith, David Andrew 1 Smith, Deborah A. 1 Tang, Xingdong 1 Tarulli, Mirko 1 Trogdon, Thomas 1 Wang, Jizhe 1 Wang, Kai 1 Wang, Zhiyong 1 Yan, Fangchi 1 Zhang, Jihui 1 Zhao, Dun all top 5 Cited in 25 Serials 4 Journal of Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applicable Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Studies in Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Analysis. Real World Applications 2 Arabian Journal of Mathematics 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 Nonlinearity 1 Applied Mathematics and Computation 1 Quarterly of Applied Mathematics 1 Systems & Control Letters 1 Revista Matemática Iberoamericana 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Opuscula Mathematica 1 Acta Mathematica Sinica. English Series 1 Complex Analysis and Operator Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 The Journal of Mathematical Neuroscience 1 Advances in Operator Theory all top 5 Cited in 14 Fields 34 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Optics, electromagnetic theory (78-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year