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## Collins, Charles R.

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 Author ID: collins.charles-r Published as: Collins, Charles; Collins, C.; Collins, Charles R.
 Documents Indexed: 16 Publications since 1989
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#### Co-Authors

 2 single-authored 4 Luskin, Mitchell 3 Stephenson, Kenneth 2 Chipot, Michel 2 Kinderlehrer, David 2 Lenhart, Suzanne M. 1 Driscoll, Tobin A. 1 Fister, K. Renee 1 Karakashian, Ohannes A. 1 Levy, Benjamin 1 Nanda, Seema 1 Orick, Gerald L. 1 Riordan, James 1 Stiver, William 1 Williams, Mary-Anne 1 Xiong, Jie 1 Yakovlev, K. S. 1 Yong, Jiongmin
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#### Serials

 3 SIAM Journal on Numerical Analysis 2 Computational Geometry 1 Mathematics of Computation 1 Numerische Mathematik 1 Optimal Control Applications & Methods 1 Journal of Scientific Computing 1 Journal of Applied Mathematics 1 Computational Methods and Function Theory 1 Mathematical Modelling of Natural Phenomena
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#### Fields

 9 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

12 Publications have been cited 140 times in 73 Documents Cited by Year
A circle packing algorithm. Zbl 1023.52005
Collins, Charles R.; Stephenson, Kenneth
2003
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
1991
The computation of the austenitic-martensitic phase transition. Zbl 0991.80502
Collins, Charles; Luskin, Mitchell
1989
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
1995
Numerical approximations in variational problems with potential wells. Zbl 0763.65049
Chipot, Michel; Collins, Charles
1992
Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem. Zbl 0735.65042
Collins, Charles; Luskin, Mitchell
1991
Computational results for a two-dimensional model of crystalline microstructure. Zbl 0797.73048
Collins, Charles; Luskin, Mitchell; Riordan, James
1993
Computation of twinning. Zbl 0797.73049
Collins, Charles
1993
Convergence of a reduced integration method for computing microstructures. Zbl 0924.73273
Collins, Charles R.
1998
Optimal control of a cancer cell model with delay. Zbl 1188.49038
Collins, C.; Fister, K. R.; Williams, M.
2010
Curvature flow in conformal mapping. Zbl 1073.52511
Collins, Charles R.; Driscoll, Tobin A.; Stephenson, Kenneth
2003
Optimal control of harvesting in a stochastic metapopulation model. Zbl 1258.93120
Collins, C.; Lenhart, S.; Nanda, S.; Xiong, Jie; Yakovlev, K.; Yong, J.
2012
Optimal control of harvesting in a stochastic metapopulation model. Zbl 1258.93120
Collins, C.; Lenhart, S.; Nanda, S.; Xiong, Jie; Yakovlev, K.; Yong, J.
2012
Optimal control of a cancer cell model with delay. Zbl 1188.49038
Collins, C.; Fister, K. R.; Williams, M.
2010
A circle packing algorithm. Zbl 1023.52005
Collins, Charles R.; Stephenson, Kenneth
2003
Curvature flow in conformal mapping. Zbl 1073.52511
Collins, Charles R.; Driscoll, Tobin A.; Stephenson, Kenneth
2003
Convergence of a reduced integration method for computing microstructures. Zbl 0924.73273
Collins, Charles R.
1998
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
1995
Computational results for a two-dimensional model of crystalline microstructure. Zbl 0797.73048
Collins, Charles; Luskin, Mitchell; Riordan, James
1993
Computation of twinning. Zbl 0797.73049
Collins, Charles
1993
Numerical approximations in variational problems with potential wells. Zbl 0763.65049
Chipot, Michel; Collins, Charles
1992
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
1991
Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem. Zbl 0735.65042
Collins, Charles; Luskin, Mitchell
1991
The computation of the austenitic-martensitic phase transition. Zbl 0991.80502
Collins, Charles; Luskin, Mitchell
1989
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#### Cited by 112 Authors

 9 Luskin, Mitchell 7 Li, Zhiping 5 Carstensen, Carsten 5 Chipot, Michel 5 Pedregal, Pablo 4 Bělík, Pavel 3 Collins, Charles R. 3 Luo, Feng 3 Stephenson, Kenneth 3 Zhang, Yong 2 Butler, Steven Kay 2 Chen, Chun 2 Elfanni, Abdellah 2 Eppstein, David Arthur 2 Gortler, Steven J. 2 Graham, Ronald Lewis 2 Gu, Xianfeng David 2 Guettler, Gerhard 2 Kinderlehrer, David 2 Klouček, Petr 2 Lau, Francis Chi Moon 2 Mallows, Colin Lingwood 2 Meziat, René J. 2 Plecháč, Petr 2 Poon, Sheung-Hung 2 Roubíček, Tomáš 2 Yau, Shing-Tung 2 Zhou, Rong 1 Aichholzer, Oswin 1 Aranda, Ernesto 1 Ashe, James 1 Baird, Molly 1 Bartels, Sören 1 Ben Chen, Mirela 1 Bhattacharya, Kaushik 1 Billey, Sara C. 1 Bishnu, Arijit 1 Bousselsal, Mahmoud 1 Boyd, Stephen Poythress 1 Brighi, Bernard 1 Brule, Timothy 1 Chan, Hei Long 1 Chang, Zhuo 1 Chiang, Ching-Shoei 1 Chin, Francis Y. L. 1 Connelly, Robert 1 Crane, Edward 1 Dacorogna, Bernard 1 Demaine, Erik D. 1 Demaine, Martin L. 1 Desai, Sameer 1 Diamond, Steven 1 Driscoll, Tobin A. 1 Efendiev, Yalchin R. 1 Fekete, Sándor P. 1 Ghosh, Arijit 1 Gobbert, Matthias K. 1 Gordon, Graham 1 Goswami, Mayank 1 Gotsman, Craig 1 Gremaud, Pierre-Alain 1 Griffin, Sean T. 1 Gu, David Xianfeng 1 Haeberly, Jean-Pierre A. 1 Hjelle, Geir Arne 1 Hoffmann, Christoph M. 1 Holmes, Philip J. 1 Jia, Zhongxiao 1 Jiang, Qing 1 Jin, Miao 1 Knees, Dorothee 1 Kohn, Robert Vita 1 Laubenbacher, Reinhard C. 1 Le Dret, Hervé 1 Li, Bo 1 Lui, Ronald Lok Ming 1 March, Riccardo 1 Melnik, Roderick V. Nicholas 1 Mitchell, Joseph S. B. 1 Nicolaides, Roy A. 1 Oremland, Matthew 1 Orick, Gerald L. 1 Patiño, Diego 1 Paul, Subhabrata 1 Pistella, Francesca 1 Prohl, Andreas 1 Ramírez Alfonsín, Jorge Luis 1 Rasskin, Iván 1 Rieger, Marc Oliver 1 Rosen, Paul 1 Rote, Günter 1 Ruddock, Guy J. 1 Schulz, André 1 Siu, Chun Yin 1 Sun, Liqun 1 Swanson, Joshua P. 1 Swart, Pieter J. 1 Takapoui, Reza 1 Ting, Hing-Fung 1 Tran, Tien ...and 12 more Authors
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#### Cited in 46 Serials

 4 Archive for Rational Mechanics and Analysis 4 Mathematics of Computation 4 Applied Numerical Mathematics 3 Numerical Functional Analysis and Optimization 3 Discrete & Computational Geometry 3 Mathematical and Computer Modelling 3 Computational Geometry 3 Continuum Mechanics and Thermodynamics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Methods and Function Theory 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 European Journal of Applied Mathematics 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Journal of Geometry 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 European Journal of Combinatorics 1 Chinese Annals of Mathematics. Series B 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Discrete Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 The Journal of Analysis 1 The Electronic Journal of Combinatorics 1 International Journal of Shape Modeling 1 Journal of Applied Analysis 1 Optimization Methods & Software 1 Structural and Multidisciplinary Optimization 1 Mathematics in Computer Science 1 Optimization Letters 1 SIAM Journal on Imaging Sciences 1 Algorithms 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 22 Fields

 31 Numerical analysis (65-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 26 Mechanics of deformable solids (74-XX) 13 Convex and discrete geometry (52-XX) 9 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Differential geometry (53-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 3 Combinatorics (05-XX) 3 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)