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## Epton, Michael A.

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 Author ID: epton.michael-a Published as: Epton, Michael A.; Epton, M. A.; Epton, M.
 Documents Indexed: 8 Publications since 1980
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#### Co-Authors

 2 single-authored 3 Silling, Stewart A. 3 Weckner, Olaf 2 Askari, Ebrahim 2 Xu, Jifeng 1 Askari, Abe 1 Brunk, Gerd 1 Dembart, Benjamin 1 Erisman, Albert M. 1 Johnson, Forrester T. 1 Lu, Paul 1 Sincovec, Richard F. 1 Tinoco, Edward N. 1 Warren, Thomas L. 1 Yip, Elizabeth L.
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#### Serials

 2 AIAA Journal 1 International Journal of Solids and Structures 1 IEEE Transactions on Automatic Control 1 Journal of Elasticity 1 SIAM Journal on Scientific Computing 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 BIT. Nordisk Tidskrift for Informationsbehandling
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#### Fields

 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

8 Publications have been cited 374 times in 330 Documents Cited by Year
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
Multipole translation theory for the three-dimensional Laplace and Helmholtz equations. Zbl 0852.31006
Epton, Michael A.; Dembart, Benjamin
1995
A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012
Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng
2009
Analysis of descriptor systems using numerical algorithms. Zbl 0495.93027
Sincovec, Richard F.; Erisman, Albert M.; Yip, Elizabeth L.; Epton, Michael A.
1981
Methods for the solution of AXD-BXC=E and its application in the numerical solution of implicit ordinary differential equations. Zbl 0452.65015
Epton, Michael A.
1980
Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018
Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim
2009
Three-dimensional flow over wings with leading-edge vortex separation. Zbl 0427.76016
Johnson, F. T.; Tinoco, E. N.; Lu, P.; Epton, M. A.
1980
Integration-by-parts formulas for boundary-element methods. Zbl 0751.73062
Epton, Michael A.
1992
A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012
Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng
2009
Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018
Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim
2009
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
Multipole translation theory for the three-dimensional Laplace and Helmholtz equations. Zbl 0852.31006
Epton, Michael A.; Dembart, Benjamin
1995
Integration-by-parts formulas for boundary-element methods. Zbl 0751.73062
Epton, Michael A.
1992
Analysis of descriptor systems using numerical algorithms. Zbl 0495.93027
Sincovec, Richard F.; Erisman, Albert M.; Yip, Elizabeth L.; Epton, Michael A.
1981
Methods for the solution of AXD-BXC=E and its application in the numerical solution of implicit ordinary differential equations. Zbl 0452.65015
Epton, Michael A.
1980
Three-dimensional flow over wings with leading-edge vortex separation. Zbl 0427.76016
Johnson, F. T.; Tinoco, E. N.; Lu, P.; Epton, M. A.
1980
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#### Cited by 507 Authors

 14 Du, Qiang 10 Foster, John T. jun. 10 Mengesha, Tadele 9 Gunzburger, Max D. 9 Li, Shaofan 9 Silling, Stewart A. 7 Bobaru, Florin 7 Lipton, Robert P. 6 Ju, Lili 6 Lehoucq, Richard B. 6 Oterkus, Selda 6 Zhou, Xiaoping 5 Duraiswami, Ramani 5 Gumerov, Nail A. 5 Jha, Prashant K. 5 Madenci, Erdogan 5 Seleson, Pablo 5 Tian, Hao 4 Christodoulou, Manolis A. 4 Collino, Francis 4 Darve, Eric 4 Gu, Xin 4 Hajarian, Masoud 4 Qiao, Pizhong 4 Tian, Xiaochuan 4 Weckner, Olaf 4 Xu, Jifeng 3 Benner, Peter 3 Chaillat, Stéphanie 3 Coombs, William M. 3 Dehghan Takht Fooladi, Mehdi 3 Fang, Guodong 3 Fu, Maoqing 3 Galvanetto, Ugo 3 Greengard, Leslie F. 3 Ha, Youn Doh 3 Hattori, Gabriel 3 Hong, Jung-Wuk 3 Hu, Ping 3 Huang, Jingfang 3 Katiyar, Amit 3 Kobayashi, Shoichi 3 Liang, Jun 3 Liu, Shuo 3 Liu, Wenyang 3 Lovass-Nagy, Victor 3 Ni, Tao 3 Nishimura, Naoshi 3 Oterkus, Erkan 3 Ouchi, Hisanao 3 Parks, Michael L. 3 Placidi, Luca 3 Rabczuk, Timon 3 Rokhlin, Vladimir 3 Roy, Pranesh 3 Sharma, Mukul M. 3 Shen, Guozhe 3 Takahashi, Toru 3 Wang, Linjuan 3 Weißenfels, Christian 3 Wriggers, Peter 3 Xia, Yang 3 Yoshida, Ken Ichi 3 Zaccariotto, Mirco 3 Zhang, Aman 3 Zhang, Heng 3 Zhang, Hongwu 3 Zheng, Guojun 3 Zheng, Yonggang 3 Zhu, Qi-Zhi 2 Aguiar, Adair Roberto 2 Aksoylu, Burak 2 Alali, Bacim 2 Askari, Abe 2 Askari, Ebrahim 2 Augarde, Charles Edward 2 Bellido, José Carlos 2 Bergel, Guy L. 2 Bessa, Miguel A. 2 Bie, Y. H. 2 Bonnet, Marc 2 Brenan, Kathryn E. 2 Burkardt, John V. 2 Buryachenko, Valeriy A. 2 Butt, Sahir N. 2 Campbell, Stephen LaVern 2 Carayol, Quentin 2 Chen, Hailong 2 Cheng, Hongwei 2 Chew, Weng Cho 2 Cui, Hao 2 Dargush, Gary F. 2 Dehghani-Madiseh, Marzieh 2 Engquist, Bjorn E. 2 Epton, Michael A. 2 Fish, Jacob 2 Gao, Yan 2 Gaul, Lothar 2 Gear, Charles William 2 Grigor’ev, Michael M. ...and 407 more Authors
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#### Cited in 79 Serials

 70 Computer Methods in Applied Mechanics and Engineering 29 Journal of Computational Physics 21 Engineering Analysis with Boundary Elements 20 Computational Mechanics 15 Journal of Elasticity 12 Mathematics and Mechanics of Solids 10 Linear Algebra and its Applications 7 European Journal of Mechanics. A. Solids 6 Computers & Mathematics with Applications 6 International Journal of Control 6 International Journal for Numerical Methods in Engineering 5 Journal of the Mechanics and Physics of Solids 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Circuits, Systems, and Signal Processing 4 Wave Motion 4 Applied Numerical Mathematics 4 Multiscale Modeling & Simulation 4 Journal of Computational Acoustics 3 Acta Mechanica 3 International Journal of Engineering Science 3 Journal of the Franklin Institute 3 Mathematics of Computation 3 Journal of Optimization Theory and Applications 3 Journal of Scientific Computing 2 International Journal of Systems Science 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Automatica 2 Quarterly of Applied Mathematics 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 SIAM Review 2 Continuum Mechanics and Thermodynamics 2 International Journal of Applied Mathematics and Computer Science 2 International Journal of Fracture 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 International Journal of Solids and Structures 1 Journal of Fluid Mechanics 1 Physica A 1 BIT 1 Computing 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Algebraic and Discrete Methods 1 Physica D 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Contemporary Mathematics 1 Archives of Computational Methods in Engineering 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Acta Mechanica Sinica 1 GEM - International Journal on Geomathematics 1 Journal of Theoretical Biology 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation
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#### Cited in 33 Fields

 178 Mechanics of deformable solids (74-XX) 112 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 41 Fluid mechanics (76-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Ordinary differential equations (34-XX) 21 Systems theory; control (93-XX) 20 Integral equations (45-XX) 20 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX)