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Carreras, Benjamin A.

Author ID: carreras.benjamin-a Recent zbMATH articles by "Carreras, Benjamin A."
Published as: Carreras, B. A.; Carreras, Benjamin A.; Carreras, B.
Documents Indexed: 40 Publications since 1979
Co-Authors: 39 Co-Authors with 38 Joint Publications
310 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 324 times in 272 Documents Cited by Year
Numerical methods for the solution of partial differential equations of fractional order. Zbl 1047.76075
Lynch, V. E.; Carreras, B. A.; del-Castillo-Negrete, D.; Ferreira-Mejias, K. M.; Hicks, H. R.
123
2003
Front propagation and segregation in a reaction-diffusion model with cross-diffusion. Zbl 1022.35017
del-Castillo-Negrete, D.; Carreras, B. A.; Lynch, Vickie
34
2002
Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization. Zbl 1159.37344
Dobson, Ian; Carreras, Benjamin A.; Lynch, Vickie E.; Newman, David E.
31
2007
Critical points and transitions in an electric power transmission model for cascading failure blackouts. Zbl 1080.82579
Carreras, B. A.; Lynch, V. E.; Dobson, I.; Newman, D. E.
26
2002
3D nonlinear calculations of resistive tearing modes. Zbl 0471.76128
Hicks, H. R.; Carreras, B.; Holmes, J. A.; Lee, D. K.; Waddell, B. V.
15
1981
A loading-dependent model of probabilistic cascading failure. Zbl 1063.90014
Dobson, Ian; Carreras, Benjamin A.; Newman, David E.
14
2005
Equilibrium calculations for helical axis stellarators. Zbl 0559.76119
Hender, T. C.; Carreras, B. A.
9
1984
Compressible linear and nonlinear resistive MHD calculations in toroidal geometry. Zbl 0682.76100
Charlton, L. A.; Holmes, J. A.; Lynch, V. E.; Carreras, B. A.; Hender, T. C.
8
1990
Nonlinear interaction of tearing modes in highly resistive tokamaks. Zbl 0396.76091
Waddell, B. V.; Carreras, B.; Hicks, H. R.; Holmes, J. A.
8
1979
Effects of toroidal coupling on the stability of tearing modes. Zbl 0497.76097
Carreras, B.; Hicks, H. R.; Lee, D. K.
6
1981
A dynamical model for plasma confinement transitions. Zbl 1348.76195
Pilarczyk, Paweł; García, Luis; Carreras, Benjamin A.; Llerena, Irene
6
2012
Nonlinear coupling of tearing modes with self-consistent resistivity evolution in tokamaks. Zbl 0438.76098
Carreras, B.; Hicks, H. R.; Holmes, J. A.; Waddell, B. V.
5
1980
Fractional Lévy motion through path integrals. Zbl 1155.82014
Calvo, I.; Sánchez, R.; Carreras, B. A.
4
2009
Numerical calculations using the full MHD equations in toroidal geometry. Zbl 0587.76075
Charlton, L. A.; Holmes, J. A.; Hicks, H. R.; Lynch, V. E.; Carreras, B. A.
4
1986
The calculation of stellarator equilibria in vacuum flux surface coordinates. Zbl 0594.76116
Hender, T. C.; Carreras, B. A.; Garcia, L.; Rome, J. A.
4
1985
The effects of compressibility of the resistive ballooning mode. Zbl 0545.76164
Hender, T. C.; Carreras, B. A.; Cooper, W. A.; Holmes, J. A.; Diamond, P. H.; Similon, P. L.
4
1984
Equilibrium and stability properties of high-beta torsatrons. Zbl 0526.76121
Carreras, B. A.; Hicks, H. R.; Holmes, J. A.; Lynch, V. E.; Garcia, L.; Harris, J. H.; Hender, T. C.; Masden, B. F.
4
1983
Correction to: “3D nonlinear calculations of resistive tearing modes”. Zbl 0525.76128
Hicks, H. R.; Carreras, B.; Holmes, J. A.; Lee, D. K.; Waddell, B. V.
3
1984
Theory of anomalous tearing mode growth and the major tokamak disruption. Zbl 0572.76116
Diamond, P. H.; Hazeltine, R. D.; An, Z. G.; Carreras, B. A.; Hicks, H. R.
2
1984
A comparison of the full and reduced sets of magnetohydrodynamic equations for resistive tearing modes in cylindrical geometry. Zbl 0522.76118
Holmes, J. A.; Carreras, B. A.; Hender, T. C.; Hicks, H. R.; Lynch, V. E.; Masden, B. F.
2
1983
Estimating failure propagation in models of cascading blackouts. Zbl 1336.62239
Dobson, Ian; Carreras, Benjamin A.; Lynch, Vickie E.; Nkei, Bertrand; Newman, David E.
2
2005
Stellarator expansion methods for MHD equilibrium and stability calculations. Zbl 0612.76059
Lynch, V. E.; Carreras, B. A.; Charlton, L. A.; Garcia, L.; Hender, T. C.; Hicks, H. R.; Holmes, J. A.
1
1986
Theory of resistive pressure-gradient-driven turbulence. Zbl 0623.76057
Carreras, B. A.; Garcia, L.; Diamond, P. H.
1
1987
Three dimensional nonlinear MHD calculations using implicit and explicit time integration schemes. Zbl 0608.76107
Garcia, L.; Hicks, H. R.; Carreras, B. A.; Charlton, L. A.; Holmes, J. A.
1
1986
Comparison of the calculations of the stability properties of a specific stellarator equilibrium with different MHD stability codes. Zbl 0860.76077
Nakamura, Y.; Matsumoto, T.; Wakatani, M.; Galkin, S. A.; Drozdov, V. V.; Martynov, A. A.; Poshekhonov, Yu. Yu.; Ichiguchi, K.; Garcia, L.; Carreras, B. A.; Nührenberg, C.; Cooper, W. A.; Johnson, J. L.
1
1996
Spectrum of resistivity-gradient-driven turbulence. Zbl 0601.76046
Terry, P. W.; Diamond, P. H.; Shaing, K. C.; Garcia, L.; Carreras, B. A.
1
1986
Theory of resistivity-gradient-driven turbulence. Zbl 0574.76122
Garcia, L.; Diamond, P. H.; Carreras, B. A.; Callen, J. D.
1
1985
Finite beta effects on the nonlinear evolution of the (m=1; n=1) mode in tokamaks. Zbl 0488.76052
Holmes, J. A.; Carreras, B. A.; Hicks, H. R.; Lynch, V. E.; Rothe, K. E.
1
1982
Rippling modes in the edge of a tokamak plasma. Zbl 0499.76115
Carreras, B. A.; Gaffney, P. W.; Hicks, H. R.; Callan, J. D.
1
1982
The effect of diamagnetic rotation on the nonlinear coupling of tearing modes. Zbl 0544.76166
Hicks, H. R.; Carreras, B. A.; Holmes, J. A.
1
1984
Topological instability along filamented invariant surfaces. Zbl 1080.76586
Carreras, B. A.; Lynch, V. E.; Garcia, L.; Edelman, M.; Zaslavsky, G. M.
1
2003
A dynamical model for plasma confinement transitions. Zbl 1348.76195
Pilarczyk, Paweł; García, Luis; Carreras, Benjamin A.; Llerena, Irene
6
2012
Fractional Lévy motion through path integrals. Zbl 1155.82014
Calvo, I.; Sánchez, R.; Carreras, B. A.
4
2009
Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization. Zbl 1159.37344
Dobson, Ian; Carreras, Benjamin A.; Lynch, Vickie E.; Newman, David E.
31
2007
A loading-dependent model of probabilistic cascading failure. Zbl 1063.90014
Dobson, Ian; Carreras, Benjamin A.; Newman, David E.
14
2005
Estimating failure propagation in models of cascading blackouts. Zbl 1336.62239
Dobson, Ian; Carreras, Benjamin A.; Lynch, Vickie E.; Nkei, Bertrand; Newman, David E.
2
2005
Numerical methods for the solution of partial differential equations of fractional order. Zbl 1047.76075
Lynch, V. E.; Carreras, B. A.; del-Castillo-Negrete, D.; Ferreira-Mejias, K. M.; Hicks, H. R.
123
2003
Topological instability along filamented invariant surfaces. Zbl 1080.76586
Carreras, B. A.; Lynch, V. E.; Garcia, L.; Edelman, M.; Zaslavsky, G. M.
1
2003
Front propagation and segregation in a reaction-diffusion model with cross-diffusion. Zbl 1022.35017
del-Castillo-Negrete, D.; Carreras, B. A.; Lynch, Vickie
34
2002
Critical points and transitions in an electric power transmission model for cascading failure blackouts. Zbl 1080.82579
Carreras, B. A.; Lynch, V. E.; Dobson, I.; Newman, D. E.
26
2002
Comparison of the calculations of the stability properties of a specific stellarator equilibrium with different MHD stability codes. Zbl 0860.76077
Nakamura, Y.; Matsumoto, T.; Wakatani, M.; Galkin, S. A.; Drozdov, V. V.; Martynov, A. A.; Poshekhonov, Yu. Yu.; Ichiguchi, K.; Garcia, L.; Carreras, B. A.; Nührenberg, C.; Cooper, W. A.; Johnson, J. L.
1
1996
Compressible linear and nonlinear resistive MHD calculations in toroidal geometry. Zbl 0682.76100
Charlton, L. A.; Holmes, J. A.; Lynch, V. E.; Carreras, B. A.; Hender, T. C.
8
1990
Theory of resistive pressure-gradient-driven turbulence. Zbl 0623.76057
Carreras, B. A.; Garcia, L.; Diamond, P. H.
1
1987
Numerical calculations using the full MHD equations in toroidal geometry. Zbl 0587.76075
Charlton, L. A.; Holmes, J. A.; Hicks, H. R.; Lynch, V. E.; Carreras, B. A.
4
1986
Stellarator expansion methods for MHD equilibrium and stability calculations. Zbl 0612.76059
Lynch, V. E.; Carreras, B. A.; Charlton, L. A.; Garcia, L.; Hender, T. C.; Hicks, H. R.; Holmes, J. A.
1
1986
Three dimensional nonlinear MHD calculations using implicit and explicit time integration schemes. Zbl 0608.76107
Garcia, L.; Hicks, H. R.; Carreras, B. A.; Charlton, L. A.; Holmes, J. A.
1
1986
Spectrum of resistivity-gradient-driven turbulence. Zbl 0601.76046
Terry, P. W.; Diamond, P. H.; Shaing, K. C.; Garcia, L.; Carreras, B. A.
1
1986
The calculation of stellarator equilibria in vacuum flux surface coordinates. Zbl 0594.76116
Hender, T. C.; Carreras, B. A.; Garcia, L.; Rome, J. A.
4
1985
Theory of resistivity-gradient-driven turbulence. Zbl 0574.76122
Garcia, L.; Diamond, P. H.; Carreras, B. A.; Callen, J. D.
1
1985
Equilibrium calculations for helical axis stellarators. Zbl 0559.76119
Hender, T. C.; Carreras, B. A.
9
1984
The effects of compressibility of the resistive ballooning mode. Zbl 0545.76164
Hender, T. C.; Carreras, B. A.; Cooper, W. A.; Holmes, J. A.; Diamond, P. H.; Similon, P. L.
4
1984
Correction to: “3D nonlinear calculations of resistive tearing modes”. Zbl 0525.76128
Hicks, H. R.; Carreras, B.; Holmes, J. A.; Lee, D. K.; Waddell, B. V.
3
1984
Theory of anomalous tearing mode growth and the major tokamak disruption. Zbl 0572.76116
Diamond, P. H.; Hazeltine, R. D.; An, Z. G.; Carreras, B. A.; Hicks, H. R.
2
1984
The effect of diamagnetic rotation on the nonlinear coupling of tearing modes. Zbl 0544.76166
Hicks, H. R.; Carreras, B. A.; Holmes, J. A.
1
1984
Equilibrium and stability properties of high-beta torsatrons. Zbl 0526.76121
Carreras, B. A.; Hicks, H. R.; Holmes, J. A.; Lynch, V. E.; Garcia, L.; Harris, J. H.; Hender, T. C.; Masden, B. F.
4
1983
A comparison of the full and reduced sets of magnetohydrodynamic equations for resistive tearing modes in cylindrical geometry. Zbl 0522.76118
Holmes, J. A.; Carreras, B. A.; Hender, T. C.; Hicks, H. R.; Lynch, V. E.; Masden, B. F.
2
1983
Finite beta effects on the nonlinear evolution of the (m=1; n=1) mode in tokamaks. Zbl 0488.76052
Holmes, J. A.; Carreras, B. A.; Hicks, H. R.; Lynch, V. E.; Rothe, K. E.
1
1982
Rippling modes in the edge of a tokamak plasma. Zbl 0499.76115
Carreras, B. A.; Gaffney, P. W.; Hicks, H. R.; Callan, J. D.
1
1982
3D nonlinear calculations of resistive tearing modes. Zbl 0471.76128
Hicks, H. R.; Carreras, B.; Holmes, J. A.; Lee, D. K.; Waddell, B. V.
15
1981
Effects of toroidal coupling on the stability of tearing modes. Zbl 0497.76097
Carreras, B.; Hicks, H. R.; Lee, D. K.
6
1981
Nonlinear coupling of tearing modes with self-consistent resistivity evolution in tokamaks. Zbl 0438.76098
Carreras, B.; Hicks, H. R.; Holmes, J. A.; Waddell, B. V.
5
1980
Nonlinear interaction of tearing modes in highly resistive tokamaks. Zbl 0396.76091
Waddell, B. V.; Carreras, B.; Hicks, H. R.; Holmes, J. A.
8
1979
all top 5

Cited by 589 Authors

12 Wang, Hong
11 Carreras, Benjamin A.
11 Meerschaert, Mark Marvin
7 Lynch, Vickie E.
5 Holmes, J. A.
5 Schnack, Dalton D.
4 Barnes, Daniel C.
4 Bäumer, Boris
4 Charlton, L. A.
4 Díaz Díaz, Jesús Ildefonso
4 Hicks, H. R.
4 Kovács, Mihály
4 Liu, Fawang
4 Rakotoson, Jean-Michel
4 Sun, Zhizhong
4 Tadjeran, Charles
3 Chechkin, Aleksei V.
3 Cheng, Aijie
3 Dobson, Ian
3 Du, Ning
3 Fu, Hongfei
3 Gao, Guanghua
3 Harned, Douglas S.
3 Hender, T. C.
3 Hossain, M. Enamul
3 Jia, Jinhong
3 Li, Can
3 Li, Changpin
3 Momani, Shaher M.
3 Newman, David E.
3 Odibat, Zaid M.
3 Pilarczyk, Paweł
3 Sakar, Mehmet Giyas
3 Turner, Ian William
2 Abu-Khamsin, Sidqi A.
2 Ahmad, Bashir
2 Al-saedi, Ahmed Eid Salem
2 Anh, Vo V.
2 Aydemir, A. Y.
2 Bayramoğlu, Şerife R.
2 Biktashev, Vadim N.
2 Boccaletti, Stefano
2 Borst, Sem C.
2 Brazier, Frances M. T.
2 Caramana, Edward J.
2 Chen, Jinghua
2 Chen, Wen
2 Chen, Yangquan
2 Cui, Mingrong
2 Darvishi, Mohammad Taghi
2 De Sanctis Lucentini, Pier Giorgio
2 Deng, Weihua
2 Du, Ruilian
2 Dybiec, Bartłomiej
2 Erdogan, Fevzi
2 Furati, Khaled M.
2 Ghosh, Dibakar
2 Haubold, Hans Joachim
2 Havlin, Shlomo
2 Jardin, Stephen C.
2 Jin, Bangti
2 Karatay, İbrahim
2 Kirane, Mokhtar
2 Knio, Omar M.
2 Koç, Yakup
2 Kooij, Robert E.
2 Kumari, Sarita
2 Lefèvre, Claude
2 Liu, Huan
2 Lombardo, Maria Carmela
2 Luciani, Jean-François
2 Luo, Xiaoshu
2 Lütjens, Hinrich
2 Machado, José António Tenreiro
2 Mathai, Arakaparampli Mathai
2 Mei, Shengwei
2 Metzler, Ralf
2 Mikić, Zoran
2 Mischaikow, Konstantin
2 Miyaji, Tomoyuki
2 Mrozek, Marian
2 Mustapha, Kassem
2 Ng, Michael Kwok-Po
2 Obembe, Abiola D.
2 Ouyang, Bo
2 Padash, Amin
2 Padial, Juan Francisco
2 Pandey, Rajesh Kumar
2 Peng, Yahong
2 Rui, Hongxing
2 Sammartino, Marco Maria Luigi
2 Sankaranarayanan, Harish
2 Saxena, Ram Kishore
2 Scala, Antonio
2 Scheffler, Hans-Peter
2 Seoane, Maria Luisa
2 Shokri, Babak
2 Singh, Vineet Kumar
2 Sloothaak, Fiona
2 Stinis, Panos
...and 489 more Authors
all top 5

Cited in 103 Serials

49 Journal of Computational Physics
11 Computers & Mathematics with Applications
10 Physica A
10 Chaos
9 Fractional Calculus & Applied Analysis
8 Journal of Computational and Applied Mathematics
7 Chaos, Solitons and Fractals
7 Applied Mathematics and Computation
7 Applied Mathematical Modelling
5 Computer Physics Communications
5 Applied Numerical Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Physica D
4 Journal of Scientific Computing
3 Physics Reports
3 Mathematics and Computers in Simulation
3 Numerical Methods for Partial Differential Equations
3 Numerical Algorithms
3 International Journal of Computer Mathematics
3 Computational and Applied Mathematics
3 Abstract and Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Probability in the Engineering and Informational Sciences
3 Journal of Physics A: Mathematical and Theoretical
3 Nonlinear Analysis. Theory, Methods & Applications
3 Communications on Applied Mathematics and Computation
2 Astrophysics and Space Science
2 Computers and Fluids
2 Journal of Statistical Physics
2 Physics Letters. A
2 Bulletin of Mathematical Biology
2 SIAM Journal on Numerical Analysis
2 Advances in Computational Mathematics
2 Engineering Analysis with Boundary Elements
2 Mathematical Problems in Engineering
2 Computational Geosciences
2 The ANZIAM Journal
2 SIAM Journal on Applied Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Computational Dynamics
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 Advances in Applied Probability
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Operations Research
1 Quarterly of Applied Mathematics
1 Acta Applicandae Mathematicae
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 European Journal of Applied Mathematics
1 Computational Mathematics and Modeling
1 SIAM Journal on Applied Mathematics
1 Advances in Engineering Software
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series B (English Edition)
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Inverse and Ill-Posed Problems
1 Discrete and Continuous Dynamical Systems
1 Science in China. Series E
1 Mathematics and Mechanics of Solids
1 Nonlinear Dynamics
1 Journal of Applied Mechanics and Technical Physics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Combustion Theory and Modelling
1 Applied Stochastic Models in Business and Industry
1 International Journal of Modern Physics C
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Stochastic Models
1 Journal of Applied Mathematics and Computing
1 Multiscale Modeling & Simulation
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Advances in Difference Equations
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Control Theory and Applications
1 Discrete Optimization
1 Inverse Problems in Science and Engineering
1 Computational & Mathematical Methods in Medicine
1 Mathematical Modelling of Natural Phenomena
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 International Journal of Differential Equations
1 Advances in Applied Mathematics and Mechanics
1 Science China. Technological Sciences
1 Journal of Mathematics and Computer Science. JMCS
1 Journal of Theoretical Biology
1 Stochastic Systems
1 Computer Science Review
1 East Asian Journal on Applied Mathematics
1 Open Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
...and 3 more Serials

Citations by Year