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Warburton, Timothy

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Author ID: warburton.timothy Recent zbMATH articles by "Warburton, Timothy"
Published as: Warburton, T.; Warburton, Timothy; Warburton, Tim
Documents Indexed: 48 Publications since 2000, including 1 Book

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,507 times in 1,027 Documents Cited by Year
Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068
Hesthaven, Jan S.; Warburton, Tim
453
2008
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
199
2002
On the constants in \(hp\)-finite element trace inverse inequalities. Zbl 1038.65116
Warburton, T.; Hesthaven, J. S.
87
2003
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
76
2002
Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S.
74
2009
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems. Zbl 1163.74364
Hagstrom, Thomas; Warburton, Timothy
65
2004
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014
Hesthaven, J. S.; Warburton, T.
64
2004
An explicit construction of interpolation nodes on the simplex. Zbl 1110.65014
Warburton, T.
50
2006
Complete radiation boundary conditions: minimizing the long time error growth of local methods. Zbl 1202.65119
Hagstrom, Thomas; Warburton, Timothy
39
2009
A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002
Giraldo, F. X.; Warburton, T.
35
2005
A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002
Giraldo, F. X.; Warburton, T.
32
2008
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
30
2011
A low-storage curvilinear discontinuous Galerkin method for wave problems. Zbl 1362.65109
Warburton, T.
26
2013
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions. Zbl 1194.35241
Hagstrom, Thomas; Warburton, Timothy; Givoli, Dan
24
2010
The role of the penalty in the local discontinuous Galerkin method for Maxwell’s eigenvalue problem. Zbl 1131.78011
Warburton, T.; Embree, Mark
24
2006
GPU-accelerated discontinuous Galerkin methods on hybrid meshes. Zbl 1349.65443
Chan, Jesse; Wang, Zheng; Modave, Axel; Remacle, Jean-Francois; Warburton, T.
21
2016
A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements. Zbl 0961.76063
Warburton, T.; Pavarino, L. F.; Hesthaven, J. S.
21
2000
GPU accelerated discontinuous Galerkin methods for shallow water equations. Zbl 1373.76086
Gandham, Rajesh; Medina, David; Warburton, Timothy
14
2015
Taming the CFL number for discontinuous Galerkin methods on structured meshes. Zbl 1181.35010
Warburton, T.; Hagstrom, T.
14
2008
Weight-adjusted discontinuous Galerkin methods: wave propagation in heterogeneous media. Zbl 1379.65075
Chan, Jesse; Hewett, Russell J.; Warburton, T.
12
2017
Overlapping Schwarz methods for unstructured spectral elements. Zbl 0957.65104
Pavarino, Luca F.; Warburton, Timothy
12
2000
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. Zbl 1189.65274
Hoppe, R. H. W.; Kanschat, G.; Warburton, T.
12
2009
GPU-accelerated Bernstein-Bézier discontinuous Galerkin methods for wave problems. Zbl 1365.65219
Chan, Jesse; Warburton, T.
11
2017
Weight-adjusted discontinuous Galerkin methods: curvilinear meshes. Zbl 1377.65127
Chan, Jesse; Hewett, Russell J.; Warburton, T.
11
2017
Application of the discontinuous Galerkin method to Maxwell’s equations using unstructured polymorphic \(hp\)-finite elements. Zbl 0957.78011
Warburton, Tim
11
2000
Exact non-reflecting boundary conditions on perturbed domains and \(hp\)-finite elements. Zbl 1203.76135
Binford, Tommy L.; Nicholls, David P.; Nigam, Nilima; Warburton, T.
11
2009
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
10
2004
A comparison of high order interpolation nodes for the pyramid. Zbl 1323.65118
Chan, Jesse; Warburton, T.
9
2015
Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300
Kapita, Shelvean; Monk, Peter; Warburton, Timothy
9
2015
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
7
2007
Orthogonal bases for vertex-mapped pyramids. Zbl 1416.65438
Chan, Jesse; Warburton, T.
6
2016
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. Zbl 1416.65363
Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Warburton, Timothy
6
2018
GPU accelerated spectral finite elements on all-hex meshes. Zbl 1360.65283
Remacle, J.-F.; Gandham, R.; Warburton, T.
5
2016
A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method. Zbl 1359.65203
Karakus, A.; Warburton, T.; Aksel, M. H.; Sert, C.
5
2016
The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem. Zbl 1203.65246
Buffa, Annalisa; Perugia, Ilaria; Warburton, Tim
5
2009
A short note on a Bernstein-Bézier basis for the pyramid. Zbl 1342.65167
Chan, Jesse; Warburton, T.
4
2016
An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228
Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T.
3
2011
On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems. Zbl 1397.65182
Chan, Jesse; Warburton, T.
2
2017
Patch-recovery filters for curvature in discontinuous Galerkin-based level-set methods. Zbl 1388.65102
Kummer, Florian; Warburton, Tim
2
2016
GPU acceleration of Hermite methods for the simulation of wave propagation. Zbl 1382.65258
Vargas, Arturo; Chan, Jesse; Hagstrom, Thomas; Warburton, Timothy
2
2017
High-order finite-differences on multi-threaded architectures using OCCA. Zbl 1352.65251
Medina, David; St-Cyr, Amik; Warburton, Timothy
2
2015
Modeling effects of electromagnetic waves on thin wires with a high-order discontinuous Galerkin method. Zbl 1217.78059
Gödel, N.; Warburton, T.; Clemens, M.
1
2011
Low-order preconditioning of high-order triangular finite elements. Zbl 1404.65255
Chalmers, Noel; Warburton, T.
1
2018
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. Zbl 1416.65363
Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Warburton, Timothy
6
2018
Low-order preconditioning of high-order triangular finite elements. Zbl 1404.65255
Chalmers, Noel; Warburton, T.
1
2018
Weight-adjusted discontinuous Galerkin methods: wave propagation in heterogeneous media. Zbl 1379.65075
Chan, Jesse; Hewett, Russell J.; Warburton, T.
12
2017
GPU-accelerated Bernstein-Bézier discontinuous Galerkin methods for wave problems. Zbl 1365.65219
Chan, Jesse; Warburton, T.
11
2017
Weight-adjusted discontinuous Galerkin methods: curvilinear meshes. Zbl 1377.65127
Chan, Jesse; Hewett, Russell J.; Warburton, T.
11
2017
On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems. Zbl 1397.65182
Chan, Jesse; Warburton, T.
2
2017
GPU acceleration of Hermite methods for the simulation of wave propagation. Zbl 1382.65258
Vargas, Arturo; Chan, Jesse; Hagstrom, Thomas; Warburton, Timothy
2
2017
GPU-accelerated discontinuous Galerkin methods on hybrid meshes. Zbl 1349.65443
Chan, Jesse; Wang, Zheng; Modave, Axel; Remacle, Jean-Francois; Warburton, T.
21
2016
Orthogonal bases for vertex-mapped pyramids. Zbl 1416.65438
Chan, Jesse; Warburton, T.
6
2016
GPU accelerated spectral finite elements on all-hex meshes. Zbl 1360.65283
Remacle, J.-F.; Gandham, R.; Warburton, T.
5
2016
A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method. Zbl 1359.65203
Karakus, A.; Warburton, T.; Aksel, M. H.; Sert, C.
5
2016
A short note on a Bernstein-Bézier basis for the pyramid. Zbl 1342.65167
Chan, Jesse; Warburton, T.
4
2016
Patch-recovery filters for curvature in discontinuous Galerkin-based level-set methods. Zbl 1388.65102
Kummer, Florian; Warburton, Tim
2
2016
GPU accelerated discontinuous Galerkin methods for shallow water equations. Zbl 1373.76086
Gandham, Rajesh; Medina, David; Warburton, Timothy
14
2015
A comparison of high order interpolation nodes for the pyramid. Zbl 1323.65118
Chan, Jesse; Warburton, T.
9
2015
Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300
Kapita, Shelvean; Monk, Peter; Warburton, Timothy
9
2015
High-order finite-differences on multi-threaded architectures using OCCA. Zbl 1352.65251
Medina, David; St-Cyr, Amik; Warburton, Timothy
2
2015
A low-storage curvilinear discontinuous Galerkin method for wave problems. Zbl 1362.65109
Warburton, T.
26
2013
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
30
2011
An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228
Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T.
3
2011
Modeling effects of electromagnetic waves on thin wires with a high-order discontinuous Galerkin method. Zbl 1217.78059
Gödel, N.; Warburton, T.; Clemens, M.
1
2011
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions. Zbl 1194.35241
Hagstrom, Thomas; Warburton, Timothy; Givoli, Dan
24
2010
Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S.
74
2009
Complete radiation boundary conditions: minimizing the long time error growth of local methods. Zbl 1202.65119
Hagstrom, Thomas; Warburton, Timothy
39
2009
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. Zbl 1189.65274
Hoppe, R. H. W.; Kanschat, G.; Warburton, T.
12
2009
Exact non-reflecting boundary conditions on perturbed domains and \(hp\)-finite elements. Zbl 1203.76135
Binford, Tommy L.; Nicholls, David P.; Nigam, Nilima; Warburton, T.
11
2009
The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem. Zbl 1203.65246
Buffa, Annalisa; Perugia, Ilaria; Warburton, Tim
5
2009
Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068
Hesthaven, Jan S.; Warburton, Tim
453
2008
A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002
Giraldo, F. X.; Warburton, T.
32
2008
Taming the CFL number for discontinuous Galerkin methods on structured meshes. Zbl 1181.35010
Warburton, T.; Hagstrom, T.
14
2008
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
7
2007
An explicit construction of interpolation nodes on the simplex. Zbl 1110.65014
Warburton, T.
50
2006
The role of the penalty in the local discontinuous Galerkin method for Maxwell’s eigenvalue problem. Zbl 1131.78011
Warburton, T.; Embree, Mark
24
2006
A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002
Giraldo, F. X.; Warburton, T.
35
2005
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems. Zbl 1163.74364
Hagstrom, Thomas; Warburton, Timothy
65
2004
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014
Hesthaven, J. S.; Warburton, T.
64
2004
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
10
2004
On the constants in \(hp\)-finite element trace inverse inequalities. Zbl 1038.65116
Warburton, T.; Hesthaven, J. S.
87
2003
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
199
2002
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
76
2002
A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements. Zbl 0961.76063
Warburton, T.; Pavarino, L. F.; Hesthaven, J. S.
21
2000
Overlapping Schwarz methods for unstructured spectral elements. Zbl 0957.65104
Pavarino, Luca F.; Warburton, Timothy
12
2000
Application of the discontinuous Galerkin method to Maxwell’s equations using unstructured polymorphic \(hp\)-finite elements. Zbl 0957.78011
Warburton, Tim
11
2000
all top 5

Cited by 1,528 Authors

32 Li, Jichun
28 Hesthaven, Jan S.
24 Hagstrom, Thomas M.
22 Chan, Jesse
21 Lanteri, Stéphane
20 Warburton, Timothy
19 Giraldo, Francis X.
19 Huang, Yunqing
17 Jameson, Antony
16 Givoli, Dan
14 Dawson, Clint N.
14 Gassner, Gregor J.
13 Shu, Chi-Wang
13 Vincent, Peter E.
12 Cockburn, Bernardo
11 Kopriva, David Alan
11 Yang, Wei
10 Dumbser, Michael
10 Grote, Marcus J.
10 Li, Fengyan
10 Munz, Claus-Dieter
10 Pavarino, Luca Franco
10 Westerink, Joannes J.
10 Witherden, Freddie D.
9 Antonietti, Paola Francesca
9 Carpenter, Mark H.
9 Kronbichler, Martin
9 Kubatko, Ethan J.
9 Liu, Hailiang
8 Ainsworth, Mark
8 Appelö, Daniel
8 Kreiss, Gunilla
8 Nicholls, David P.
8 Piperno, Serge
8 van der Vegt, Jaap J. W.
7 Del Rey Fernández, David C.
7 Duru, Kenneth
7 Fernández-Méndez, Sonia
7 Li, Liang
7 Nguyen, Ngoc Cuong
7 Remacle, Jean-François
7 Sevilla, Ruben
7 Sherwin, Spencer J.
7 Zampieri, Elena
6 Bui-Thanh, Tan
6 Cheng, Yingda
6 Eskilsson, Claes
6 Glaubitz, Jan
6 Hochbruck, Marlis
6 Houston, Paul
6 Jacobs, Gustaaf B.
6 Park, Eun-Jae
6 Wall, Wolfgang A.
6 Wilcox, Lucas C.
6 Wirasaet, Damrongsak
6 Xiao, Feng
6 Xing, Yulong
5 Balsara, Dinshaw S.
5 Behrens, Jorn
5 Castonguay, Patrice
5 Dea, John R.
5 Deng, Weihua
5 Diamessis, Peter J.
5 Ekaterinaris, John A.
5 Evans, John A.
5 Ferrer, Esteban
5 Hindenlang, Florian J.
5 Huerta, Antonio
5 Kim, Chongam
5 Kirby, Robert C.
5 Lin, Tao
5 Lodato, Guido
5 Luo, Hong
5 Mazzieri, Ilario
5 Nordström, Jan
5 Öffner, Philipp
5 Pasquetti, Richard
5 Rabinovich, Daniel
5 Rapetti, Francesca
5 Rubio, Gonzalo
5 Schnepp, Sascha M.
5 Teng, Chun-Hao
5 Weiland, Thomas
5 Williams, David M.
5 Xu, Yan
5 Yu, Meilin
4 Banks, Jeffrey W.
4 Bielak, Jacobo
4 Brus, S. R.
4 Campos Pinto, Martin
4 Dehghan Takht Fooladi, Mehdi
4 Descombes, Stéphane
4 Dolean, Victorita
4 Ecevit, Fatih
4 Engsig-Karup, Allan P.
4 Fahs, Hassan
4 Fezoui, Loula
4 Fischer, Paul F.
4 Fu, Guosheng
4 Geuzaine, Christophe A.
...and 1,428 more Authors
all top 5

Cited in 97 Serials

293 Journal of Computational Physics
136 Journal of Scientific Computing
68 Computer Methods in Applied Mechanics and Engineering
65 SIAM Journal on Scientific Computing
46 Computers and Fluids
45 Journal of Computational and Applied Mathematics
37 Computers & Mathematics with Applications
26 SIAM Journal on Numerical Analysis
22 International Journal for Numerical Methods in Engineering
21 Numerische Mathematik
20 Mathematics of Computation
19 Applied Numerical Mathematics
16 Applied Mathematics and Computation
14 Numerical Methods for Partial Differential Equations
12 Wave Motion
11 Applied Mathematical Modelling
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 International Journal for Numerical Methods in Fluids
6 Journal of Engineering Mathematics
6 BIT
6 COMPEL
6 SMAI Journal of Computational Mathematics
5 Computer Physics Communications
5 Computational Geosciences
5 Journal of Computational Acoustics
5 Results in Applied Mathematics
4 Computational Mechanics
4 Computational Methods in Applied Mathematics
3 Mathematics and Computers in Simulation
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Numerical Algorithms
3 Advances in Computational Mathematics
3 Mathematical Problems in Engineering
3 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Mathematical Biology
2 Calcolo
2 Quarterly of Applied Mathematics
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Computer Mathematics
2 Computing and Visualization in Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Chaos
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Matematicheskoe Modelirovanie
2 Archives of Computational Methods in Engineering
2 Journal of Numerical Mathematics
2 International Journal for Numerical Methods in Biomedical Engineering
1 Classical and Quantum Gravity
1 International Journal of Engineering Science
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physics Letters. A
1 ACM Transactions on Mathematical Software
1 Meccanica
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Optimal Control Applications & Methods
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 SIAM Journal on Matrix Analysis and Applications
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Advances in Engineering Software
1 Communications in Numerical Methods in Engineering
1 ETNA. Electronic Transactions on Numerical Analysis
1 Engineering Analysis with Boundary Elements
1 Nonlinear Dynamics
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 International Journal of Numerical Modelling
1 Communications in Nonlinear Science and Numerical Simulation
1 Living Reviews in Relativity
1 Sādhanā
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Acta Numerica
1 Boundary Value Problems
1 Acta Mechanica Sinica
1 Journal of Physics A: Mathematical and Theoretical
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 GEM - International Journal on Geomathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 ISRN Applied Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SN Partial Differential Equations and Applications
1 Water Waves
all top 5

Cited in 38 Fields

845 Numerical analysis (65-XX)
414 Partial differential equations (35-XX)
362 Fluid mechanics (76-XX)
193 Optics, electromagnetic theory (78-XX)
78 Mechanics of deformable solids (74-XX)
62 Geophysics (86-XX)
21 Statistical mechanics, structure of matter (82-XX)
17 Computer science (68-XX)
15 Approximations and expansions (41-XX)
12 Biology and other natural sciences (92-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Special functions (33-XX)
9 Ordinary differential equations (34-XX)
7 Relativity and gravitational theory (83-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Probability theory and stochastic processes (60-XX)
4 Statistics (62-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
3 Operator theory (47-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Difference and functional equations (39-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year