Charles M. Elliott - Author Profile

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Elliott, Charles M.

Author ID:	elliott.charles-m
Published as:	Elliott, Charles M.; Elliott, C. M.; Elliott, Charlie M.; M. Elliott, Charles; Elliott, Charles; Elliott, C. more...less
Homepage:	http://www2.warwick.ac.uk/fac/sci/maths/people/staff/charles_elliott/
External Links:	MGP · dblp

Documents Indexed:	164 Publications since 1978, including 1 Book and 10 Additional arXiv Preprints
	11 Contributions as Editor
Co-Authors:	104 Co-Authors with 162 Joint Publications
	3,000 Co-Co-Authors

all top 5

Co-Authors

7	single-authored
18	Deckelnick, Klaus
14	Barrett, John William
13	Styles, Vanessa
11	Dziuk, Gerhard
10	Stinner, Bjorn
8	Ranner, Thomas
7	Alphonse, Amal
7	Garcke, Harald
5	Blowey, James F.
5	Caetano, Diogo
5	Fritz, Hans
5	Gardiner, Andrew R.
5	Kornhuber, Ralf
5	Schatzle, Reiner
5	Stuart, Andrew M.
4	Brett, Charles
4	Giga, Yoshikazu
4	Hinze, Michael
4	Ockendon, John R.
4	Tang, Qi
4	Venkataraman, Chandrasekhar
3	Chen, Xinfu
3	Copetti, Maria Inês M.
3	Dedner, Andreas S.
3	Djurdjevac, Ana
3	Dunbar, Oliver R. A.
3	French, Donald A.
3	Friedman, Avner
3	Herbert, Philip J.
3	Hobbs, Graham
3	Janovský, Vladimír
3	Mikelić, Andro
2	Briggs, Amy J.
2	Cahn, John W.
2	Claisse, J. R.
2	DiBenedetto, Emmanuele
2	Grasselli, Maurizio
2	Hatcher, Luke
2	Hintermüller, Michael
2	Kashima, Yohei
2	Kostin, Ilya-Nikolaï
2	Larsson, Stig
2	Maier-Paape, Stanislaus
2	McKee, Sean
2	Poiatti, Andrea
2	Sales, Thomas
2	Smitheman, S. A.
2	Zheng, Songmu
1	Aitchison, Joyce M.
1	Bai, Fengshan
1	Barreira, Raquel
1	Bretschneider, Till
1	Chakrabarti, Roma
1	Chapman, Stephen Jonathan
1	Chen, Zhiming
1	Church, Lewis
1	Count, Brian M.
1	Croft, Wayne
1	Du, Cheng-Jin
1	Duncan, Andrew B.
1	Dunlop, Matthew M.
1	Eilks, C.
1	Fife, Paul C.
1	Gawron, Bernhard
1	Goto, Shun’ichi
1	Gräser, Carsten
1	Hairer, Martin
1	Head, A. K.
1	Heine, Claus-Justus
1	Herrero, Miguel Ángel
1	Hoang, Viet Ha
1	Howison, Samuel Dexter
1	Huisken, Gerhard
1	King, John Robert
1	Kovacs, Balazs A.
1	Kreusser, Lisa Maria
1	Ladds, Graham
1	Leslie, Frank Matthews
1	Leugering, Günter
1	Löbhard, Caroline
1	Lu, Bainian
1	Madzvamuse, Anotida
1	Mason, Colin J.
1	Matano, Hiroshi
1	Milner, Fabio Augusto
1	Miura, Tatsu-Hiko
1	Niethammer, Barbara
1	Novick-Cohen, Amy
1	Paolini, Maurizio
1	Pavliotis, Grigorios A.
1	Scott, Melvin R.
1	Sethian, James Albert
1	Shillor, Meir
1	Simonett, Gieri
1	Sokołowski, Jan
1	Spence, Alastair
1	Stepanov, Pavel G.
1	Stoth, Barbara E. E.
1	Styles, V. M.
1	Tang, Bao Quoc
...and 6 more Co-Authors

all top 5

Serials

25	IMA Journal of Numerical Analysis
9	Interfaces and Free Boundaries
8	Numerische Mathematik
8	European Journal of Applied Mathematics
8	SIAM Journal on Mathematical Analysis
8	Oberwolfach Reports
7	SIAM Journal on Numerical Analysis
6	Mathematics of Computation
6	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5	Nonlinear Analysis. Theory, Methods & Applications
3	Archive for Rational Mechanics and Analysis
3	IMA Journal of Applied Mathematics
3	Journal of Computational Physics
3	Nonlinearity
3	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2	Inverse Problems
2	Journal of Mathematical Biology
2	Journal of Differential Equations
2	Physica D
2	RAIRO. Modélisation Mathématique et Analyse Numérique
2	Advances in Mathematical Sciences and Applications
2	Communications on Pure and Applied Analysis
2	Acta Numerica
1	Applicable Analysis
1	Computers & Mathematics with Applications
1	Journal of the Institute of Mathematics and its Applications
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	BIT
1	Hokkaido Mathematical Journal
1	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1	SIAM Journal on Control and Optimization
1	Applied Numerical Mathematics
1	Numerical Methods for Partial Differential Equations
1	Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1	SIAM Journal on Applied Mathematics
1	Journal of Nonlinear Science
1	SIAM Journal on Scientific Computing
1	Computing and Visualization in Science
1	Optimization Methods & Software
1	Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1	Portugaliae Mathematica. Nova Série
1	Milan Journal of Mathematics
1	Communications in Computational Physics
1	SIAM/ASA Journal on Uncertainty Quantification
1	Philosophical Transactions A. Royal Society of London
1	Research Notes in Mathematics (San Francisco)
1	SMAI Journal of Computational Mathematics

all top 5

Fields

130	Partial differential equations (35-XX)
98	Numerical analysis (65-XX)
34	Calculus of variations and optimal control; optimization (49-XX)
22	Fluid mechanics (76-XX)
21	Mechanics of deformable solids (74-XX)
21	Statistical mechanics, structure of matter (82-XX)
13	Biology and other natural sciences (92-XX)
12	Classical thermodynamics, heat transfer (80-XX)
11	General and overarching topics; collections (00-XX)
7	Global analysis, analysis on manifolds (58-XX)
6	Differential geometry (53-XX)
4	Optics, electromagnetic theory (78-XX)
3	Dynamical systems and ergodic theory (37-XX)
3	Geophysics (86-XX)
3	Information and communication theory, circuits (94-XX)
2	Ordinary differential equations (34-XX)
2	Probability theory and stochastic processes (60-XX)
2	Computer science (68-XX)
2	Operations research, mathematical programming (90-XX)
2	Systems theory; control (93-XX)
1	Potential theory (31-XX)
1	Integral equations (45-XX)
1	Functional analysis (46-XX)
1	Operator theory (47-XX)
1	Statistics (62-XX)
1	Mechanics of particles and systems (70-XX)
1	Relativity and gravitational theory (83-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

144 Publications have been cited 4,770 times in 2,768 Documents	Cited by ▼	Year ▼
Finite element methods for surface PDEs. Zbl 1296.65156 Dziuk, Gerhard; Elliott, Charles M.	302	2013
On the Cahn-Hilliard equation with degenerate mobility. Zbl 0856.35071 Elliott, Charles M.; Garcke, Harald	284	1996
On the Cahn-Hilliard equation. Zbl 0624.35048 Elliott, Charles M.; Zheng, Songmu	270	1986
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.	192	2005
The global dynamics of discrete semilinear parabolic equations. Zbl 0792.65066 Elliott, C. M.; Stuart, A. M.	181	1993
Weak and variational methods for moving boundary problems. Zbl 0476.35080 Elliott, C. M.; Ockendon, J. R.	177	1982
Finite elements on evolving surfaces. Zbl 1120.65102 Dziuk, G.; Elliott, C. M.	169	2007
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097 Elliott, C. M.; French, D. A.; Milner, F. A.	145	1989
Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy. Zbl 0762.65074 Copetti, M. I. M.; Elliott, C. M.	135	1992
Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113 Elliott, Charles M.; French, Donald A.	123	1987
The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039 Cahn, J. W.; Elliott, C. M.; Novick-Cohen, A.	122	1996
The Cahn-Hilliard model for the kinetics of phase separation. Zbl 0692.73003 Elliott, C. M.	116	1989
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. I: Mathematical analysis. Zbl 0797.35172 Blowey, J. F.; Elliott, C. M.	111	1991
Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation. Zbl 0762.65075 Elliott, Charles M.; Larsson, Stig	109	1992
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118 Barrett, John W.; Elliott, Charles M.	97	1987
A nonconforming finite-element method for the two-dimensional Cahn- Hilliard equation. Zbl 0686.65086 Elliott, Charles M.; French, Donald A.	92	1989
Modeling and computation of two phase geometric biomembranes using surface finite elements. Zbl 1425.74323 Elliott, Charles M.; Stinner, Björn	84	2010
Viscous Cahn-Hilliard equation. II: Analysis. Zbl 0855.35067 Elliott, C. M.; Stuart, A. M.	80	1996
The surface finite element method for pattern formation on evolving biological surfaces. Zbl 1234.92007 Barreira, R.; Elliott, C. M.; Madzvamuse, A.	70	2011
The viscous Cahn-Hilliard equation. I: Computations. Zbl 0818.35045 Bai, F.; Elliott, C. M.; Gardiner, A.; Spence, A.; Stuart, A. M.	64	1995
A variational inequality approach to Hele-Shaw flow with a moving boundary. Zbl 0455.76043 Elliott, C. M.; Janovsky, V.	63	1981
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II: Numerical analysis. Zbl 0810.35158 Blowey, J. F.; Elliott, C. M.	58	1992
Finite element analysis for a coupled bulk-surface partial differential equation. Zbl 1271.65138 Elliott, Charles M.; Ranner, Thomas	58	2013
Finite element approximation of the Dirichlet problem using the boundary penalty method. Zbl 0614.65116 Barrett, John W.; Elliott, Charles M.	44	1986
Shooting method for vortex solutions of a complex-valued Ginzburg-Landau equation. Zbl 0816.34003 Chen, Xinfu; Elliott, Charles M.; Qi, Tang	42	1994
Global existence and stability of solutions to the phase field equations. Zbl 0733.35062 Elliott, C. M.; Zheng, Songmu	42	1990
Evolving surface finite element method for the Cahn-Hilliard equation. Zbl 1312.65159 Elliott, Charles M.; Ranner, Thomas	40	2015
Numerical computation of advection and diffusion on evolving diffuse interfaces. Zbl 1241.65081 Elliott, Charles M.; Stinner, Björn; Styles, Vanessa; Welford, Richard	40	2011
Curvature dependent phase boundary motion and parabolic double obstacle problems. Zbl 0794.35092 Blowey, J. F.; Elliott, C. M.	39	1993
\(L^2\)-estimates for the evolving surface finite element method. Zbl 1269.65087 Dziuk, Gerhard; Elliott, Charles M.	39	2013
On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick. Zbl 1433.65219 M. Elliott, Charles; Fritz, Hans	38	2017
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. Zbl 1149.76027 Eilks, C.; Elliott, C. M.	38	2008
An \(h\)-narrow band finite-element method for elliptic equations on implicit surfaces. Zbl 1191.65151 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.; Heine, Claus-Justus	37	2010
An abstract framework for parabolic PDEs on evolving spaces. Zbl 1323.35103 Alphonse, Amal; Elliott, Charles M.; Stinner, Björn	36	2015
Eulerian finite element method for parabolic PDEs on implicit surfaces. Zbl 1145.65073 Dziuk, G.; Elliott, C. M.	36	2008
A finite element model for the time-dependent Joule heating problem. Zbl 0846.65047 Elliott, Charles M.; Larsson, Stig	34	1995
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089 Elliott, Charles M.; Stinner, Björn	34	2013
Error analysis of the enthalpy method for the Stefan problem. Zbl 0638.65088 Elliott, C. M.	31	1987
Existence results for diffusive surface motion laws. Zbl 0876.35050 Elliott, Charles M.; Garcke, Harald	30	1997
Numerical analysis of a model for phase separation of a multi-component alloy. Zbl 0857.65137 Blowey, J. F.; Copetti, M. I. M.; Elliott, C. M.	28	1996
The mesa problem: diffusion patterns for \(u_ t=\nabla \cdot (u^ m\nabla u)\) as \(m\to +\infty\). Zbl 0655.35034 Elliott, C. M.; Herrero, M. A.; King, J. R.; Ockendon, J. R.	28	1986
A surface phase field model for two-phase biological membranes. Zbl 1209.92003 Elliott, Charles M.; Stinner, Björn	28	2010
Asymptotics for a parabolic double obstacle problem. Zbl 0814.35044 Chen, Xinfu; Elliott, Charles M.	27	1994
An ALE ESFEM for solving PDEs on evolving surfaces. Zbl 1259.65147 Elliott, Charles M.; Styles, Vanessa	27	2012
Lower semicontinuity of a non-hyperbolic attractor for the viscous Cahn-Hilliard equation. Zbl 0888.35047 Elliott, C. M.; Kostin, I. N.	26	1996
Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164 Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas	26	2014
A fully discrete evolving surface finite element method. Zbl 1267.65128 Dziuk, Gerhard; Elliott, Charles M.	26	2012
An Eulerian approach to transport and diffusion on evolving implicit surfaces. Zbl 1220.65132 Dziuk, G.; Elliott, C. M.	25	2010
Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model. Zbl 0905.35084 Chen, Zhiming; Elliott, C. M.; Qi, Tang	24	1998
A dynamic contact problem in thermoelasticity. Zbl 0818.73061 Elliott, C. M.; Qi, Tang	23	1994
A one-dimensional quasi-static contact problem in linear thermoelasticity. Zbl 0779.73051 Copetti, M. I. M.; Elliott, C. M.	22	1993
Convergence of numerical solutions to the Allen-Cahn equation. Zbl 0992.65096 Chen, Xinfu; Elliott, Charlie M.; Gardiner, Andy; Zhao, Jennifer Jing	22	1998
A finite-element method for solving elliptic equations with Neumann data on a curved boundary using unfitted meshes. Zbl 0574.65121 Barrett, John W.; Elliott, Charles M.	21	1984
Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115 Deckelnick, Klaus; Elliott, Charles M.	20	2004
On the finite element approximation of an elliptic variational inequality arising from an implicit time discretization of the Stefan problem. Zbl 0469.65042 Elliott, Charles M.	20	1981
The limit of the anisotropic double-obstacle Allen-Cahn equation. Zbl 0865.35073 Elliott, Charles M.; Schätzle, Reiner	19	1996
On some linear parabolic PDEs on moving hypersurfaces. Zbl 1333.35306 Alphonse, Amal; Elliott, Charles M.; Stinner, Björn	19	2015
Analysis of a diffuse interface approach to an advection diffusion equation on a moving surface. Zbl 1200.35018 Elliott, Charles M.; Stinner, Björn	19	2009
A free-boundary model for diffusion-induced grain boundary motion. Zbl 0986.35136 Fife, P. C.; Cahn, J. W.; Elliott, C. M.	18	2001
Total flux estimates for a finite-element approximation of elliptic equations. Zbl 0619.65098 Barrett, John W.; Elliott, Charles M.	18	1987
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix. Zbl 0925.35087 Elliott, Charles M.; Garcke, Harald	18	1997
A phase-field model with a double obstacle potential. Zbl 0809.35168 Blowey, J. F.; Elliott, C. M.	18	1994
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix. Zbl 1194.35225 Elliott, Charles M.; Garcke, Harald	18	1997
On a variational inequality formulation of an electrochemical machining moving boundary problem and its approximation by the finite element method. Zbl 0428.49003 Elliott, C. M.	18	1980
Percolation in gently sloping beaches. Zbl 0536.76085 Aitchison, J. M.; Elliott, C. M.; Ockendon, J. R.	17	1983
Numerical diffusion-induced grain boundary motion. Zbl 0991.35095 Deckelnick, K.; Elliott, C. M.; Styles, V.	16	2001
Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.	16	2005
Analysis of the TV regularization and \(H^{-1}\) fidelity model for decomposing an image into cartoon plus texture. Zbl 1148.35329 Elliott, C. M.; Smitheman, S. A.	16	2007
A finite-element analysis of critical-state models for type-II superconductivity in 3D. Zbl 1119.82046 Elliott, Charles M.; Kashima, Yohei	15	2007
Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. Zbl 1366.35244 Elliott, Charles M.; Ranner, Thomas; Venkataraman, Chandrasekhar	14	2017
Error analysis for an ALE evolving surface finite element method. Zbl 1318.65063 Elliott, Charles M.; Venkataraman, Chandrasekhar	14	2015
Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.	13	2003
Zeros of a complex Ginzburg-Landau order parameter with applications to superconductivity. Zbl 0817.35112 Elliott, C. M.; Matano, H.; Qi, Tang	12	1994
Approximation of curvature dependent interface motion. Zbl 0881.65131 Elliott, C. M.	12	1997
Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition. Zbl 0591.65072 Barrett, John W.; Elliott, Charles M.	12	1985
Small deformations of Helfrich energy minimising surfaces with applications to biomembranes. Zbl 1368.74039 Elliott, Charles M.; Fritz, Hans; Hobbs, Graham	12	2017
Numerical analysis of the TV regularization and \(H^{-1}\) fidelity model for decomposing an image into cartoon plus texture. Zbl 1169.94003 Elliott, C. M.; Smitheman, S. A.	12	2009
A variational approach to particles in lipid membranes. Zbl 1362.35311 Elliott, Charles M.; Gräser, Carsten; Hobbs, Graham; Kornhuber, Ralf; Wolf, Maren-Wanda	12	2016
The free boundary of a flow in a porous body heated from its boundary. Zbl 0621.76101 DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner	11	1986
Losing a graph with surface diffusion. Zbl 0993.35042 Elliott, Charles M.; Maier-Paape, Stanislaus	11	2001
A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity, and convergence to equilibrium. Zbl 1390.35144 Alphonse, Amal; Elliott, Charles M.; Terra, Joana	11	2018
A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains. Zbl 07528292 Elliott, C. M.; Ranner, T.	11	2021
The limit of the fully anisotropic double-obstacle Allen-Cahn equation in the nonsmooth case. Zbl 0870.35128 Elliott, Charles M.; Schätzle, Reiner	10	1997
A practical finite element approximation of a semi-definite Neumann problem on a curved domain. Zbl 0617.65110 Barrett, John W.; Elliott, Charles M.	10	1987
On the convergence of a one-step method for the numerical solution of an ordinary differential inclusion. Zbl 0598.65052 Elliott, C. M.	10	1985
Finite-element approximation of elliptic equations with a Neumann or Robin condition on a curved boundary. Zbl 0658.65106 Barrett, John W.; Elliott, Charles M.	10	1988
Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115 Elliott, C. M.; Giga, Y.; Goto, S.	10	2003
Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Zbl 0909.35064 Deckelnick, K.; Elliott, C. M.; Richardson, G.	10	1997
Optimal control of elliptic PDEs at points. Zbl 1433.49041 Brett, Charles; Dedner, Andreas; Elliott, Charles	10	2016
Viscosity solutions of a degenerate parabolic-elliptic system arising in the mean-field theory of superconductivity. Zbl 0927.35117 Elliott, Charles M.; Schätzle, Reiner; Stoth, Barbara E. E.	9	1998
Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean-curvature flow. Zbl 0873.35039 Elliott, Charles M.; Paolini, Maurizio; Schätzle, Reiner	9	1996
Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009 Deckelnick, Klaus; Elliott, Charles M.	9	1998
Well-posedness of a fractional porous medium equation on an evolving surface. Zbl 1334.35365 Alphonse, Amal; Elliott, Charles M.	9	2016
Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa	9	2016
Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa	9	2011
Parameter identification problems in the modelling of cell motility. Zbl 1321.92043 Croft, Wayne; Elliott, Charles M.; Ladds, Graham; Stinner, Björn; Venkataraman, Chandrasekhar; Weston, Cathryn	9	2015
A Stefan problem on an evolving surface. Zbl 1353.35317 Alphonse, Amal; Elliott, Charles M.	9	2015
Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016 Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline	8	2015
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Zbl 07565226 Elliott, Charles M.; Garcke, Harald; Kovács, Balázs	8	2022
Computations of bidirectional grain boundary dynamics in thin metallic films. Zbl 1020.82006 Elliott, C. M.; Styles, V.	7	2003
Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs. Zbl 1509.35391 Alphonse, Amal; Caetano, Diogo; Djurdjevac, Ana; Elliott, Charles M.	3	2023
Regularization and separation for evolving surface Cahn-Hilliard equations. Zbl 1531.35328 Caetano, Diogo; Elliott, Charles M.; Grasselli, Maurizio; Poiatti, Andrea	1	2023
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Zbl 07565226 Elliott, Charles M.; Garcke, Harald; Kovács, Balázs	8	2022
On the sharp interface limit of a phase field model for near spherical two phase biomembranes. Zbl 1489.35287 Elliott, Charles M.; Hatcher, Luke; Stinner, Björn	1	2022
A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains. Zbl 07528292 Elliott, C. M.; Ranner, T.	11	2021
Cahn-Hilliard equations on an evolving surface. Zbl 1479.35902 Caetano, D.; Elliott, C. M.	6	2021
Domain formation via phase separation for spherical biomembranes with small deformations. Zbl 1479.35013 Elliott, C. M.; Hatcher, L.	6	2021
A domain mapping approach for elliptic equations posed on random bulk and surface domains. Zbl 1452.65330 Church, Lewis; Djurdjevac, Ana; Elliott, Charles M.	5	2020
Reconciling Bayesian and perimeter regularization for binary inversion. Zbl 1455.62084 Dunbar, Oliver R. A.; Dunlop, Matthew M.; Elliott, Charles M.; Hoang, Viet Ha; Stuart, Andrew M.	3	2020
Second order splitting of a class of fourth order PDEs with point constraints. Zbl 1446.65167 Elliott, Charles M.; Herbert, Philip J.	1	2020
Second order splitting for a class of fourth order equations. Zbl 1426.65175 Elliott, Charles M.; Fritz, Hans; Hobbs, Graham	2	2019
Binary recovery via phase field regularization for first-arrival traveltime tomography. Zbl 1431.65153 Dunbar, Oliver R. A.; Elliott, Charles M.	2	2019
Hamilton-Jacobi equations on an evolving surface. Zbl 1426.65134 Deckelnick, Klaus; Elliott, Charles M.; Miura, Tatsu-Hiko; Styles, Vanessa	1	2019
A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity, and convergence to equilibrium. Zbl 1390.35144 Alphonse, Amal; Elliott, Charles M.; Terra, Joana	11	2018
Evolving surface finite element methods for random advection-diffusion equations. Zbl 1407.65258 Djurdjevac, Ana; Elliott, Charles M.; Kornhuber, Ralf; Ranner, Thomas	3	2018
On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick. Zbl 1433.65219 M. Elliott, Charles; Fritz, Hans	38	2017
Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. Zbl 1366.35244 Elliott, Charles M.; Ranner, Thomas; Venkataraman, Chandrasekhar	14	2017
Small deformations of Helfrich energy minimising surfaces with applications to biomembranes. Zbl 1368.74039 Elliott, Charles M.; Fritz, Hans; Hobbs, Graham	12	2017
Emerging developments in interfaces and free boundaries. Abstracts from the workshop held January 22–28, 2017. Zbl 1390.00086	1	2017
A variational approach to particles in lipid membranes. Zbl 1362.35311 Elliott, Charles M.; Gräser, Carsten; Hobbs, Graham; Kornhuber, Ralf; Wolf, Maren-Wanda	12	2016
Optimal control of elliptic PDEs at points. Zbl 1433.49041 Brett, Charles; Dedner, Andreas; Elliott, Charles	10	2016
Well-posedness of a fractional porous medium equation on an evolving surface. Zbl 1334.35365 Alphonse, Amal; Elliott, Charles M.	9	2016
Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa	9	2016
On algorithms with good mesh properties for problems with moving boundaries based on the harmonic map heat flow and the deturck trick. Zbl 1416.65324 Elliott, Charles M.; Fritz, Hans	7	2016
Evolving surface finite element method for the Cahn-Hilliard equation. Zbl 1312.65159 Elliott, Charles M.; Ranner, Thomas	40	2015
An abstract framework for parabolic PDEs on evolving spaces. Zbl 1323.35103 Alphonse, Amal; Elliott, Charles M.; Stinner, Björn	36	2015
On some linear parabolic PDEs on moving hypersurfaces. Zbl 1333.35306 Alphonse, Amal; Elliott, Charles M.; Stinner, Björn	19	2015
Error analysis for an ALE evolving surface finite element method. Zbl 1318.65063 Elliott, Charles M.; Venkataraman, Chandrasekhar	14	2015
Parameter identification problems in the modelling of cell motility. Zbl 1321.92043 Croft, Wayne; Elliott, Charles M.; Ladds, Graham; Stinner, Björn; Venkataraman, Chandrasekhar; Weston, Cathryn	9	2015
A Stefan problem on an evolving surface. Zbl 1353.35317 Alphonse, Amal; Elliott, Charles M.	9	2015
Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016 Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline	8	2015
A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324 Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M.	2	2015
Time-periodic solutions of advection-diffusion equations on moving hypersurfaces. Zbl 1320.35021 Elliott, Charles M.; Fritz, Hans	1	2015
Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164 Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas	26	2014
Phase field methods for binary recovery. Zbl 1320.49024 Brett, Charles; Elliott, Charles M.; Dedner, Andreas S.	3	2014
Finite element methods for surface PDEs. Zbl 1296.65156 Dziuk, Gerhard; Elliott, Charles M.	302	2013
Finite element analysis for a coupled bulk-surface partial differential equation. Zbl 1271.65138 Elliott, Charles M.; Ranner, Thomas	58	2013
\(L^2\)-estimates for the evolving surface finite element method. Zbl 1269.65087 Dziuk, Gerhard; Elliott, Charles M.	39	2013
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089 Elliott, Charles M.; Stinner, Björn	34	2013
Interfaces and free boundaries: analysis, control and simulation. Abstracts from the workshop held March 24–30, 2013. Zbl 1349.00157	1	2013
An ALE ESFEM for solving PDEs on evolving surfaces. Zbl 1259.65147 Elliott, Charles M.; Styles, Vanessa	27	2012
A fully discrete evolving surface finite element method. Zbl 1267.65128 Dziuk, Gerhard; Elliott, Charles M.	26	2012
The surface finite element method for pattern formation on evolving biological surfaces. Zbl 1234.92007 Barreira, R.; Elliott, C. M.; Madzvamuse, A.	70	2011
Numerical computation of advection and diffusion on evolving diffuse interfaces. Zbl 1241.65081 Elliott, Charles M.; Stinner, Björn; Styles, Vanessa; Welford, Richard	40	2011
Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa	9	2011
Geometric partial differential equations: theory, numerics and applications. Abstracts from the workshop held November 27 – December 3, 2011. Zbl 1349.00149	1	2011
Modeling and computation of two phase geometric biomembranes using surface finite elements. Zbl 1425.74323 Elliott, Charles M.; Stinner, Björn	84	2010
An \(h\)-narrow band finite-element method for elliptic equations on implicit surfaces. Zbl 1191.65151 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.; Heine, Claus-Justus	37	2010
A surface phase field model for two-phase biological membranes. Zbl 1209.92003 Elliott, Charles M.; Stinner, Björn	28	2010
An Eulerian approach to transport and diffusion on evolving implicit surfaces. Zbl 1220.65132 Dziuk, G.; Elliott, C. M.	25	2010
Analysis of a diffuse interface approach to an advection diffusion equation on a moving surface. Zbl 1200.35018 Elliott, Charles M.; Stinner, Björn	19	2009
Numerical analysis of the TV regularization and \(H^{-1}\) fidelity model for decomposing an image into cartoon plus texture. Zbl 1169.94003 Elliott, C. M.; Smitheman, S. A.	12	2009
Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa	4	2009
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. Zbl 1149.76027 Eilks, C.; Elliott, C. M.	38	2008
Eulerian finite element method for parabolic PDEs on implicit surfaces. Zbl 1145.65073 Dziuk, G.; Elliott, C. M.	36	2008
Finite elements on evolving surfaces. Zbl 1120.65102 Dziuk, G.; Elliott, C. M.	169	2007
Analysis of the TV regularization and \(H^{-1}\) fidelity model for decomposing an image into cartoon plus texture. Zbl 1148.35329 Elliott, C. M.; Smitheman, S. A.	16	2007
A finite-element analysis of critical-state models for type-II superconductivity in 3D. Zbl 1119.82046 Elliott, Charles M.; Kashima, Yohei	15	2007
Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073 Deckelnick, Klaus; Elliott, Charles M.	3	2006
On macroscopic critical state models of superconductivity in 3D. Zbl 1143.65379 Elliott, Charles M.; Kashima, Yohei	2	2006
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.	192	2005
Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.	16	2005
Finite element analysis of a current density-electric field formulation of Bean’s model for superconductivity. Zbl 1100.78018 Elliott, C. M.; Kay, D.; Styles, V.	2	2005
Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115 Deckelnick, Klaus; Elliott, Charles M.	20	2004
A finite element approximation of a variational inequality formulation of Bean’s model for superconductivity. Zbl 1071.82063 Elliott, C. M.; Kay, D.; Styles, V.	5	2004
Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.	13	2003
Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115 Elliott, C. M.; Giga, Y.; Goto, S.	10	2003
Computations of bidirectional grain boundary dynamics in thin metallic films. Zbl 1020.82006 Elliott, C. M.; Styles, V.	7	2003
Finite-difference approximation of a one-dimensional Hamilton-Jacobi/elliptic system arising in superconductivity. Zbl 0991.35092 Briggs, A. J.; Claisse, J. R.; Elliott, C. M.	1	2002
A free-boundary model for diffusion-induced grain boundary motion. Zbl 0986.35136 Fife, P. C.; Cahn, J. W.; Elliott, C. M.	18	2001
Numerical diffusion-induced grain boundary motion. Zbl 0991.35095 Deckelnick, K.; Elliott, C. M.; Styles, V.	16	2001
Losing a graph with surface diffusion. Zbl 0993.35042 Elliott, Charles M.; Maier-Paape, Stanislaus	11	2001
An existence and uniqueness result for a phase-filed model of diffusion-induced grain-boundary motion. Zbl 0989.35006 Deckelnick, Klaus; Elliott, Charles M.	4	2001
Numerical analysis of a mean field model of superconducting vortices. Zbl 0984.82042 Elliott, Charles M.; Styles, Vanessa	4	2001
Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150 Deckelnick, Klaus; Elliott, Charles M.	1	1999
Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model. Zbl 0905.35084 Chen, Zhiming; Elliott, C. M.; Qi, Tang	24	1998
Convergence of numerical solutions to the Allen-Cahn equation. Zbl 0992.65096 Chen, Xinfu; Elliott, Charlie M.; Gardiner, Andy; Zhao, Jennifer Jing	22	1998
Viscosity solutions of a degenerate parabolic-elliptic system arising in the mean-field theory of superconductivity. Zbl 0927.35117 Elliott, Charles M.; Schätzle, Reiner; Stoth, Barbara E. E.	9	1998
Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009 Deckelnick, Klaus; Elliott, Charles M.	9	1998
Crystalline curvature flow of a graph in a variational setting. Zbl 0959.35168 Elliott, Charles M.; Gardiner, Andrew R.; Schätzle, Reiner	5	1998
Existence results for diffusive surface motion laws. Zbl 0876.35050 Elliott, Charles M.; Garcke, Harald	30	1997
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix. Zbl 0925.35087 Elliott, Charles M.; Garcke, Harald	18	1997
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix. Zbl 1194.35225 Elliott, Charles M.; Garcke, Harald	18	1997
Approximation of curvature dependent interface motion. Zbl 0881.65131 Elliott, C. M.	12	1997
The limit of the fully anisotropic double-obstacle Allen-Cahn equation in the nonsmooth case. Zbl 0870.35128 Elliott, Charles M.; Schätzle, Reiner	10	1997
Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Zbl 0909.35064 Deckelnick, K.; Elliott, C. M.; Richardson, G.	10	1997
Vortices, dislocations and line singularities in partial differential equations. Zbl 0886.00011	1	1997
On the Cahn-Hilliard equation with degenerate mobility. Zbl 0856.35071 Elliott, Charles M.; Garcke, Harald	284	1996
The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039 Cahn, J. W.; Elliott, C. M.; Novick-Cohen, A.	122	1996
Viscous Cahn-Hilliard equation. II: Analysis. Zbl 0855.35067 Elliott, C. M.; Stuart, A. M.	80	1996
Numerical analysis of a model for phase separation of a multi-component alloy. Zbl 0857.65137 Blowey, J. F.; Copetti, M. I. M.; Elliott, C. M.	28	1996
Lower semicontinuity of a non-hyperbolic attractor for the viscous Cahn-Hilliard equation. Zbl 0888.35047 Elliott, C. M.; Kostin, I. N.	26	1996
The limit of the anisotropic double-obstacle Allen-Cahn equation. Zbl 0865.35073 Elliott, Charles M.; Schätzle, Reiner	19	1996
Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean-curvature flow. Zbl 0873.35039 Elliott, Charles M.; Paolini, Maurizio; Schätzle, Reiner	9	1996
The viscous Cahn-Hilliard equation. I: Computations. Zbl 0818.35045 Bai, F.; Elliott, C. M.; Gardiner, A.; Spence, A.; Stuart, A. M.	64	1995
A finite element model for the time-dependent Joule heating problem. Zbl 0846.65047 Elliott, Charles M.; Larsson, Stig	34	1995
Shooting method for vortex solutions of a complex-valued Ginzburg-Landau equation. Zbl 0816.34003 Chen, Xinfu; Elliott, Charles M.; Qi, Tang	42	1994
Asymptotics for a parabolic double obstacle problem. Zbl 0814.35044 Chen, Xinfu; Elliott, Charles M.	27	1994
A dynamic contact problem in thermoelasticity. Zbl 0818.73061 Elliott, C. M.; Qi, Tang	23	1994
A phase-field model with a double obstacle potential. Zbl 0809.35168 Blowey, J. F.; Elliott, C. M.	18	1994
...and 44 more Documents

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Cited by 3,337 Authors

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57	Elliott, Charles M.
48	Nürnberg, Robert
36	Kim, Junseok
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32	Barrett, John William
32	Feng, Xinlong
30	Miranville, Alain M.
28	Voigt, Axel
25	Grasselli, Maurizio
24	Olshanskii, Maxim A.
24	Yang, Xiaofeng
23	Shen, Jie
22	Fan, Jishan
21	Li, Buyang
20	Hansbo, Peter
20	Larson, Mats G.
20	Madzvamuse, Anotida
20	Xiao, Xufeng
19	Gilardi, Gianni
19	Sprekels, Jürgen
19	Wise, Steven M.
18	Styles, Vanessa
17	Chen, Wenbin
17	Lam, Kei Fong
17	Nochetto, Ricardo Horacio
17	Reusken, Arnold
16	Kou, Jisheng
16	Sun, Shuyu
15	Abels, Helmut
15	Giga, Yoshikazu
15	Jiang, Wei
15	Muñoz Rivera, Jaime Edilberto
15	Wang, Cheng
15	Zhao, Xiaopeng
14	Burman, Erik
14	Rocca, Elisabetta
13	Bao, Weizhu
13	King, John Robert
13	Lee, Hyun Geun
13	Wu, Hao
12	Deckelnick, Klaus
12	Jia, Hongen
12	Knopf, Patrik
12	Kovacs, Balazs A.
12	Larsson, Stig
12	Sgura, Ivonne
12	Stinner, Bjorn
12	Zhao, Quan
11	Bartels, Sören
11	Fukao, Takeshi
11	Kahle, Christian
11	Liu, Changchun
11	Novick-Cohen, Amy
11	Scarpa, Luca
11	Shin, Jaemin
11	Wang, Xiaoming
11	Yin, Jingxue
11	Zelik, Sergey V.
10	Bretin, Elie
10	Cherfils, Laurence
10	Deka, Bhupen
10	Du, Qiang
10	Hintermüller, Michael
10	Hinze, Michael
10	Li, Yibao
10	Nitschke, Ingo
10	Venkataraman, Chandrasekhar
10	Xu, Xianmin
10	Yousept, Irwin
10	Zeng, Jinping
9	Beneš, Michal
9	Blank, Luise
9	Burger, Martin
9	Dai, Shibin
9	Feng, Xiaobing
9	Frigeri, Sergio
9	Frittelli, Massimo
9	Gal, Ciprian Gheorghe Sorin
9	Grün, Günther
9	Lehrenfeld, Christoph
9	Liu, Chun
9	Lowengrub, John Samuel
9	Mikula, Karol
9	Pierre, Morgan
9	Verani, Marco
9	Wheeler, Glen E.
9	Zahedi, Sara
8	Gustafsson, Bjorn
8	Harlim, John
8	Hughes, Thomas J. R.
8	Jeong, Darae
8	Ju, Lili
8	Kenmochi, Nobuyuki
8	Kim, Inwon Christina
8	Kovács, Mihály
8	Massing, André
8	Rabczuk, Timon
8	Röger, Matthias
8	Shi, Dongyang
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Cited in 342 Serials

174	Journal of Computational Physics
113	Computer Methods in Applied Mechanics and Engineering
104	Journal of Scientific Computing
86	Journal of Computational and Applied Mathematics
82	Computers & Mathematics with Applications
79	Numerische Mathematik
64	Journal of Mathematical Analysis and Applications
62	Journal of Differential Equations
61	SIAM Journal on Numerical Analysis
56	Applied Numerical Mathematics
51	SIAM Journal on Scientific Computing
48	Mathematics of Computation
47	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
46	Numerical Methods for Partial Differential Equations
41	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
40	Applied Mathematics and Computation
37	European Journal of Applied Mathematics
37	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
35	Mathematical Methods in the Applied Sciences
31	International Journal for Numerical Methods in Engineering
31	Physica D
29	Archive for Rational Mechanics and Analysis
29	Communications in Computational Physics
26	Interfaces and Free Boundaries
23	Applicable Analysis
23	SIAM Journal on Mathematical Analysis
23	Discrete and Continuous Dynamical Systems. Series S
23	Nonlinear Analysis. Theory, Methods & Applications
22	Applied Mathematics and Optimization
22	Discrete and Continuous Dynamical Systems
22	Communications in Nonlinear Science and Numerical Simulation
21	Advances in Computational Mathematics
18	Applied Mathematics Letters
18	Nonlinear Analysis. Real World Applications
17	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17	Engineering Analysis with Boundary Elements
17	Discrete and Continuous Dynamical Systems. Series B
16	Journal of Mathematical Physics
16	Applied Mathematical Modelling
16	SIAM Journal on Applied Mathematics
15	Journal of Fluid Mechanics
15	ZAMP. Zeitschrift für angewandte Mathematik und Physik
15	Communications on Pure and Applied Analysis
14	Mathematics and Computers in Simulation
14	Japan Journal of Industrial and Applied Mathematics
14	Computational and Applied Mathematics
14	NoDEA. Nonlinear Differential Equations and Applications
13	Journal of Mathematical Biology
13	SIAM Journal on Control and Optimization
13	Calculus of Variations and Partial Differential Equations
12	Inverse Problems
12	BIT
12	Numerical Functional Analysis and Optimization
12	Communications in Partial Differential Equations
12	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12	Computational Methods in Applied Mathematics
11	Numerical Algorithms
11	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11	Multiscale Modeling & Simulation
10	Computer Physics Communications
10	Nonlinearity
10	Annali di Matematica Pura ed Applicata. Serie Quarta
10	Computational Mechanics
10	Journal of Nonlinear Science
10	Journal of Numerical Mathematics
9	Computers and Fluids
9	Calcolo
9	Quarterly of Applied Mathematics
9	Transactions of the American Mathematical Society
9	Asymptotic Analysis
9	Applications of Mathematics
9	International Journal of Computer Mathematics
9	Journal of Mathematical Imaging and Vision
8	Bulletin of Mathematical Biology
8	Mathematische Nachrichten
8	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8	M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8	Journal of Evolution Equations
8	SIAM Journal on Imaging Sciences
7	Journal of Functional Analysis
7	RAIRO. Modélisation Mathématique et Analyse Numérique
7	Mathematical and Computer Modelling
7	Computing and Visualization in Science
7	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7	SIAM Journal on Applied Dynamical Systems
7	Advances in Applied Mathematics and Mechanics
7	SIAM/ASA Journal on Uncertainty Quantification
7	AIMS Mathematics
6	Journal of Engineering Mathematics
6	Journal of Statistical Physics
6	Journal de Mathématiques Pures et Appliquées. Neuvième Série
6	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6	Journal of Applied Mathematics and Computing
6	Boundary Value Problems
5	Communications on Pure and Applied Mathematics
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Cited in 48 Fields

1,856	Partial differential equations (35-XX)
1,464	Numerical analysis (65-XX)
567	Fluid mechanics (76-XX)
360	Mechanics of deformable solids (74-XX)
240	Calculus of variations and optimal control; optimization (49-XX)
204	Statistical mechanics, structure of matter (82-XX)
195	Classical thermodynamics, heat transfer (80-XX)
187	Biology and other natural sciences (92-XX)
118	Differential geometry (53-XX)
99	Global analysis, analysis on manifolds (58-XX)
80	Probability theory and stochastic processes (60-XX)
79	Dynamical systems and ergodic theory (37-XX)
51	Optics, electromagnetic theory (78-XX)
43	Integral equations (45-XX)
43	Operations research, mathematical programming (90-XX)
42	Ordinary differential equations (34-XX)
42	Operator theory (47-XX)
42	Computer science (68-XX)
28	Information and communication theory, circuits (94-XX)
26	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25	Geophysics (86-XX)
25	Systems theory; control (93-XX)
24	Real functions (26-XX)
24	Approximations and expansions (41-XX)
16	Statistics (62-XX)
15	Potential theory (31-XX)
14	Functional analysis (46-XX)
11	Quantum theory (81-XX)
9	Functions of a complex variable (30-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
6	Harmonic analysis on Euclidean spaces (42-XX)
6	Mechanics of particles and systems (70-XX)
4	General and overarching topics; collections (00-XX)
4	Combinatorics (05-XX)
4	Special functions (33-XX)
3	Relativity and gravitational theory (83-XX)
2	History and biography (01-XX)
2	Algebraic geometry (14-XX)
2	Measure and integration (28-XX)
2	Difference and functional equations (39-XX)
2	Convex and discrete geometry (52-XX)
2	Manifolds and cell complexes (57-XX)
1	Number theory (11-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Integral transforms, operational calculus (44-XX)
1	Algebraic topology (55-XX)
1	Mathematics education (97-XX)

Elliott, Charles M.

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Cited by 3,337 Authors

Cited in 342 Serials

Cited in 48 Fields

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