Edit Profile (opens in new tab) Gibson, Nathan L. Co-Author Distance Author ID: gibson.nathan-l Published as: Gibson, N. L.; Gibson, Nathan L.; Gibson, N. more...less External Links: ORCID Documents Indexed: 20 Publications since 2005, including 1 Additional arXiv Preprint Co-Authors: 26 Co-Authors with 19 Joint Publications 803 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Bokil, Vrushali A. 7 Banks, Harvey Thomas 2 Jiang, Huanqun 2 Nguyen, Son Luu 2 Thomann, Enrique A. 2 Waymire, Edward C. 1 Aigrain, S. 1 Alvarez, Jacqueline 1 Chen, Yong 1 Cioranescu, Doina 1 Ebden, Mark 1 Fisher, Andrew 1 Gifford-Miears, Christopher 1 Griso, Georges 1 Gyrya, Vitaliy T. 1 Leon, Arturo S. 1 Mcgregor, Duncan A. O. 1 Miara, Bernadette 1 Osborne, Michael A. 1 Patricia Medina, F. 1 Peszyńska, Małgorzata 1 Reece, Steven 1 Roberts, Stephen J. 1 Showalter, Ralph E. 1 Vasylkivska, Veronika S. 1 Winfree, William P. all top 5 Serials 2 Journal of Computational and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Quarterly of Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 International Journal of Computer Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Analysis. Real World Applications 1 Stochastic Models 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Results in Applied Mathematics all top 5 Fields 11 Numerical analysis (65-XX) 11 Optics, electromagnetic theory (78-XX) 7 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 167 times in 136 Documents Cited by ▼ Year ▼ Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media. Zbl 1168.78314 Banks, H. T.; Bokil, V. A.; Gibson, N. L. 31 2009 Analysis of spatial high-order finite difference methods for Maxwell’s equations in dispersive media. Zbl 1253.78048 Bokil, V. A.; Gibson, N. L. 30 2012 Gaussian processes for time-series modelling. Zbl 1353.62103 Roberts, S.; Osborne, M.; Ebden, M.; Reece, S.; Gibson, N.; Aigrain, S. 20 2013 Well-posedness in Maxwell systems with distributions of polarization relaxation parameters. Zbl 1069.78006 Banks, H. T.; Gibson, N. L. 13 2005 Homogenization of periodically varying coefficients in electromagnetic materials. Zbl 1109.78021 Banks, H. T.; Bokil, V. A.; Cioranescu, D.; Gibson, N. L.; Griso, G.; Miara, B. 13 2006 Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters. Zbl 1124.35090 Banks, H. T.; Gibson, N. L. 11 2006 Dispersion reducing methods for edge discretizations of the electric vector wave equation. Zbl 1351.78052 Bokil, V. A.; Gibson, N. L.; Gyrya, V.; McGregor, D. A. 8 2015 Convergence analysis of Yee schemes for Maxwell’s equations in Debye and Lorentz dispersive media. Zbl 1482.65137 Bokil, V. A.; Gibson, N. L. 6 2014 A polynomial chaos method for dispersive electromagnetics. Zbl 1373.78436 Gibson, Nathan L. 6 2015 Gap detection with electromagnetic terahertz signals. Zbl 1116.78345 Banks, H. T.; Gibson, Nathan L.; Winfree, William P. 5 2005 Evolution of phase transitions in methane hydrate. Zbl 1310.35051 Gibson, Nathan L.; Patricia Medina, F.; Peszynska, Malgorzata; Showalter, Ralph E. 5 2014 Semismooth Newton methods with a shooting-like technique for solving a constrained free-boundary HJB equation. Zbl 1459.91160 Jiang, H.; Gibson, N. L. 5 2021 An Euler-Maruyama method for diffusion equations with discontinuous coefficients and a family of interface conditions. Zbl 1443.60059 Bokil, V. A.; Gibson, N. L.; Nguyen, S. L.; Thomann, E. A.; Waymire, E. C. 5 2020 Analysis of methods for the Maxwell-random Lorentz model. Zbl 1446.35194 Fisher, Andrew; Alvarez, Jacqueline; Gibson, N. L. 5 2020 Efficient computation of unsteady flow in complex river systems with uncertain inputs. Zbl 1358.76062 Gibson, Nathan L.; Gifford-Miears, Christopher; Leon, Arturo S.; Vasylkivska, Veronika S. 3 2014 Parameter estimation versus homogenization techniques in time-domain characterization of composite dielectrics. Zbl 1131.35085 Banks, H. T.; Bokil, V. A.; Gibson, N. L. 1 2007 Semismooth Newton methods with a shooting-like technique for solving a constrained free-boundary HJB equation. Zbl 1459.91160 Jiang, H.; Gibson, N. L. 5 2021 An Euler-Maruyama method for diffusion equations with discontinuous coefficients and a family of interface conditions. Zbl 1443.60059 Bokil, V. A.; Gibson, N. L.; Nguyen, S. L.; Thomann, E. A.; Waymire, E. C. 5 2020 Analysis of methods for the Maxwell-random Lorentz model. Zbl 1446.35194 Fisher, Andrew; Alvarez, Jacqueline; Gibson, N. L. 5 2020 Dispersion reducing methods for edge discretizations of the electric vector wave equation. Zbl 1351.78052 Bokil, V. A.; Gibson, N. L.; Gyrya, V.; McGregor, D. A. 8 2015 A polynomial chaos method for dispersive electromagnetics. Zbl 1373.78436 Gibson, Nathan L. 6 2015 Convergence analysis of Yee schemes for Maxwell’s equations in Debye and Lorentz dispersive media. Zbl 1482.65137 Bokil, V. A.; Gibson, N. L. 6 2014 Evolution of phase transitions in methane hydrate. Zbl 1310.35051 Gibson, Nathan L.; Patricia Medina, F.; Peszynska, Malgorzata; Showalter, Ralph E. 5 2014 Efficient computation of unsteady flow in complex river systems with uncertain inputs. Zbl 1358.76062 Gibson, Nathan L.; Gifford-Miears, Christopher; Leon, Arturo S.; Vasylkivska, Veronika S. 3 2014 Gaussian processes for time-series modelling. Zbl 1353.62103 Roberts, S.; Osborne, M.; Ebden, M.; Reece, S.; Gibson, N.; Aigrain, S. 20 2013 Analysis of spatial high-order finite difference methods for Maxwell’s equations in dispersive media. Zbl 1253.78048 Bokil, V. A.; Gibson, N. L. 30 2012 Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media. Zbl 1168.78314 Banks, H. T.; Bokil, V. A.; Gibson, N. L. 31 2009 Parameter estimation versus homogenization techniques in time-domain characterization of composite dielectrics. Zbl 1131.35085 Banks, H. T.; Bokil, V. A.; Gibson, N. L. 1 2007 Homogenization of periodically varying coefficients in electromagnetic materials. Zbl 1109.78021 Banks, H. T.; Bokil, V. A.; Cioranescu, D.; Gibson, N. L.; Griso, G.; Miara, B. 13 2006 Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters. Zbl 1124.35090 Banks, H. T.; Gibson, N. L. 11 2006 Well-posedness in Maxwell systems with distributions of polarization relaxation parameters. Zbl 1069.78006 Banks, H. T.; Gibson, N. L. 13 2005 Gap detection with electromagnetic terahertz signals. Zbl 1116.78345 Banks, H. T.; Gibson, Nathan L.; Winfree, William P. 5 2005 all cited Publications top 5 cited Publications all top 5 Cited by 251 Authors 23 Li, Jichun 15 Banks, Harvey Thomas 13 Bokil, Vrushali A. 12 Huang, Yunqing 10 Yang, Wei 9 Gibson, Nathan L. 4 Cao, Liqun 4 Liang, Dong 4 Nguyen, Duc Duy 4 Peszyńska, Małgorzata 4 Sakkaplangkul, Puttha 4 Zhang, Yongwei 4 Zhao, Shan 3 Bai, Xixian 3 Chen, Meng 3 Cheng, Yingda 3 Gyrya, Vitaliy T. 3 He, Bin 3 Idesman, Alexander V. 3 Li, Fengyan 3 Li, Wanshan 3 Rui, Hongxing 3 Shi, Dongyang 2 Amirat, Youcef Aït 2 Banks, Jeffrey W. 2 Catenacci, Jared 2 Chen, Min 2 Cioranescu, Doina 2 Fang, Zhiwei 2 Griso, Georges 2 Jenkinson, Michael J. 2 Jiang, Yan 2 Kantartzis, Nikolaos V. 2 Lin, Yanping 2 Liu, Fuhao 2 Manzini, Gianmarco 2 Papadopoulos, Aristeides D. 2 Wang, Xiang 2 Yoshioka, Hidekazu 2 Zaidan, Younis 2 Zhang, Zhimin 2 Zhu, Li 2 Zygiridis, Theodoros T. 1 Abate-Daga, Daniel 1 Abdel-Aziz, Hamzah 1 Abel, Markus 1 Adler, James H. 1 Almutairi, Abdulwahab 1 Alvarez, Jacqueline 1 Alvarez, S. Naranjo 1 Amanatiadis, Stamatios A. 1 Angel, Jordan B. 1 Applebaum, Victor 1 Aranishi, Futoshi 1 Araya, Héctor 1 Arbogast, Todd 1 Benner, Peter 1 Bigler, Lisa 1 Blazhievska, Irina 1 Bluck, Michael J. 1 Bortz, David M. 1 Briol, François-Xavier 1 Bunoiu, Renata 1 Cangiani, Andrea 1 Castillero, Paulino Monroy 1 Cavanaugh, Casey 1 Chakrabarty, Dalia 1 Chen, Kairui 1 Chen, SiZhe 1 Chen, Yong 1 Chen, Zitao 1 Chesnel, Lucas 1 Colebank, Mitchel J. 1 Cordier, Laurent 1 Costa, Timothy B. 1 Cucuringu, Mihai 1 Davis, Jimena L. 1 Ding, Shifei 1 Dinh, Huy 1 Duan, Yong 1 Duan, Yu 1 Dunne, Michael 1 Dyson, Elizabeth 1 Eaton, Matthew D. 1 Economou, Theodoros 1 El-Metwally, Hamdy A. 1 Elbaz, Islam M. 1 Enderling, Heiko 1 Étoré, Pierre 1 Fan, Zhuowan 1 Faraway, Julian J. 1 Feng, Haoyang 1 Feng, Yangde 1 Fiebach, André 1 Findeisen, Rolf 1 Fisher, Andrew 1 Flores, Kevin B. 1 Fricks, John 1 Gaone, Joseph M. 1 Gerlach, Adam R. ...and 151 more Authors all top 5 Cited in 63 Serials 13 Computers & Mathematics with Applications 12 Journal of Computational Physics 11 Journal of Computational and Applied Mathematics 7 Journal of Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 4 Engineering Analysis with Boundary Elements 3 Computer Physics Communications 3 Quarterly of Applied Mathematics 3 Numerical Methods for Partial Differential Equations 3 Journal of Inverse and Ill-Posed Problems 3 Advances in Computational Mathematics 3 International Journal of Numerical Analysis and Modeling 3 Results in Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 Chaos 2 Computational Geosciences 2 Nonlinear Analysis. Real World Applications 2 Quantitative Finance 2 Journal of Machine Learning Research (JMLR) 2 Multiscale Modeling & Simulation 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Physica A 1 Bulletin of Mathematical Biology 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Neural Networks 1 Machine Learning 1 Computational Statistics 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Robust and Nonlinear Control 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Statistica Sinica 1 Journal of Mathematical Chemistry 1 International Journal of Computational Fluid Dynamics 1 Soft Computing 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastic Models 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Communications in Computational Physics 1 Statistical Analysis and Data Mining 1 The Annals of Applied Statistics 1 Advances in Numerical Analysis 1 Journal of Control Science and Engineering 1 Statistics and Computing 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Electronic Research Archive all top 5 Cited in 28 Fields 78 Numerical analysis (65-XX) 72 Optics, electromagnetic theory (78-XX) 50 Partial differential equations (35-XX) 19 Statistics (62-XX) 14 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-XX) 9 Computer science (68-XX) 9 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year