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## Zegeling, Paul Andries

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 Author ID: zegeling.paul-andries Published as: Zegeling, P. A.; Zegeling, Paul Andries; Zegeling, Paul A.; Zegeling, P. External Links: MGP
 Documents Indexed: 33 Publications since 1989, including 1 Book
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#### Co-Authors

 5 single-authored 4 Blom, Joke G. 4 Iqbal, Sehar 3 Verwer, Jan G. 2 Furzeland, R. M. 2 Saucez, Philippe 2 Vande Wouwer, Alain 1 Ateş, İnan 1 Berestycki, Henri 1 Champneys, Alan R. 1 de Boer, W. D. 1 Diekmann, Odo 1 Doelman, Arjen 1 Haynes, Ronald D. 1 Hu, Guanghui 1 Huang, Weizhang 1 Izsák, Ferenc 1 Kaper, Tasso J. 1 Kok, H. P. 1 Lagzi, István 1 McKenna, Patrick Joseph 1 Nagelkerke, Cornelis J. 1 Schiesser, William E. 1 Sehar Iqbal 1 van Eijkeren, J. C. H. 1 Verhulst, Ferdinand 1 Zhou, Han
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#### Serials

 5 Journal of Computational Physics 4 Journal of Computational and Applied Mathematics 3 Applied Mathematics and Computation 2 Journal of Scientific Computing 2 Communications in Computational Physics 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Nonlinear Dynamics 1 Journal of Mathematical Study 1 Numerical Mathematics: Theory, Methods and Applications
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#### Fields

 29 Numerical analysis (65-XX) 16 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 370 times in 310 Documents Cited by Year
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
1997
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
2009
A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines. Zbl 0705.65066
Furzeland, R. M.; Verwer, J. G.; Zegeling, P. A.
1990
Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations. Zbl 0889.65099
Blom, J. G.; Zegeling, P. A.
1994
Adaptive moving mesh computations for reaction–diffusion systems. Zbl 1052.65086
Zegeling, P. A.; Kok, H. P.
2004
A moving grid method for one-dimensional PDEs based on the method of lines. Zbl 0697.65086
Verwer, J. G.; Blom, J. G.; Furzeland, R. M.; Zegeling, P. A.
1989
Solitary waves in nonlinear beam equations: Stability, fission and fusion. Zbl 0974.74034
Champneys, A. R.; McKenna, P. J.; Zegeling, P. A.
2000
A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics. Zbl 1102.35358
Van Dam, A.; Zegeling, P. A.
2006
Balanced monitoring of flow phenomena in moving mesh methods. Zbl 1364.76123
van Dam, A.; Zegeling, P. A.
2010
Method of lines study of nonlinear dispersive waves. Zbl 1052.65084
Saucez, P.; Vande Wouwer, A.; Schiesser, W. E.; Zegeling, P.
2004
On resistive MHD models with adaptive moving meshes. Zbl 1124.76059
Zegeling, Paul A.
2005
Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation. Zbl 1075.35072
Saucez, P.; Vande Wouwer, A.; Zegeling, P. A.
2005
$$r$$-refinement for evolutionary PDEs with finite elements or finite differences. Zbl 0891.65101
Zegeling, Paul A.
1998
Robust and efficient adaptive moving mesh solution of the 2-D Euler equations. Zbl 1096.76035
Zegeling, P. A.; de Boer, W. D.; Tang, H. Z.
2005
Moving-grid methods for time-dependent partial differential equations. Reprint of thesis. Zbl 0789.65079
Zegeling, P. A.
1993
Tensor-product adaptive grids based on coordinate transformations. Zbl 1049.65097
Zegeling, P. A.
2004
Simulating finger phenomena in porous media with a moving finite element method. Zbl 1316.76048
Hu, Guanghui; Zegeling, Paul Andries
2011
Transition of Liesegang precipitation systems: simulations with an adaptive grid PDE method. Zbl 1373.76225
Zegeling, Paul A.; Lagzi, István; Izsák, Ferenc
2011
Application of a moving grid method to a class of 1D brine transport problems in porous media. Zbl 0781.76063
Zegeling, P. A.; Verwer, J. G.; van Eijkeren, J. C. H.
1992
A note on the grid movement induced by MFE. Zbl 0766.65085
Zegeling, P. A.; Blom, J. G.
1992
A numerical study of blowup in the harmonic map heat flow using the MMPDE moving mesh method. Zbl 1289.65178
Haynes, Ronald D.; Huang, Weizhang; Zegeling, Paul A.
2013
A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems. Zbl 1446.34007
Ateş, I.; Zegeling, P. A.
2017
Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method. Zbl 1378.76077
Zhang, Hong; Zegeling, Paul Andries
2017
Nonstandard finite differences for a truncated Bratu-Picard model. Zbl 1426.65107
Zegeling, Paul Andries; Iqbal, Sehar
2018
An adaptive grid method for a non-equilibrium PDE model from porous media. Zbl 1349.76838
Zegeling, Paul Andries
2015
An evaluation of the gradient-weighted moving-finite-element method in one space dimension. Zbl 0781.65081
Zegeling, P. A.; Blom, J. G.
1992
Nonstandard finite differences for a truncated Bratu-Picard model. Zbl 1426.65107
Zegeling, Paul Andries; Iqbal, Sehar
2018
A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems. Zbl 1446.34007
Ateş, I.; Zegeling, P. A.
2017
Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method. Zbl 1378.76077
Zhang, Hong; Zegeling, Paul Andries
2017
An adaptive grid method for a non-equilibrium PDE model from porous media. Zbl 1349.76838
Zegeling, Paul Andries
2015
A numerical study of blowup in the harmonic map heat flow using the MMPDE moving mesh method. Zbl 1289.65178
Haynes, Ronald D.; Huang, Weizhang; Zegeling, Paul A.
2013
Simulating finger phenomena in porous media with a moving finite element method. Zbl 1316.76048
Hu, Guanghui; Zegeling, Paul Andries
2011
Transition of Liesegang precipitation systems: simulations with an adaptive grid PDE method. Zbl 1373.76225
Zegeling, Paul A.; Lagzi, István; Izsák, Ferenc
2011
Balanced monitoring of flow phenomena in moving mesh methods. Zbl 1364.76123
van Dam, A.; Zegeling, P. A.
2010
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
2009
A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics. Zbl 1102.35358
Van Dam, A.; Zegeling, P. A.
2006
On resistive MHD models with adaptive moving meshes. Zbl 1124.76059
Zegeling, Paul A.
2005
Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation. Zbl 1075.35072
Saucez, P.; Vande Wouwer, A.; Zegeling, P. A.
2005
Robust and efficient adaptive moving mesh solution of the 2-D Euler equations. Zbl 1096.76035
Zegeling, P. A.; de Boer, W. D.; Tang, H. Z.
2005
Adaptive moving mesh computations for reaction–diffusion systems. Zbl 1052.65086
Zegeling, P. A.; Kok, H. P.
2004
Method of lines study of nonlinear dispersive waves. Zbl 1052.65084
Saucez, P.; Vande Wouwer, A.; Schiesser, W. E.; Zegeling, P.
2004
Tensor-product adaptive grids based on coordinate transformations. Zbl 1049.65097
Zegeling, P. A.
2004
Solitary waves in nonlinear beam equations: Stability, fission and fusion. Zbl 0974.74034
Champneys, A. R.; McKenna, P. J.; Zegeling, P. A.
2000
$$r$$-refinement for evolutionary PDEs with finite elements or finite differences. Zbl 0891.65101
Zegeling, Paul A.
1998
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
1997
Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations. Zbl 0889.65099
Blom, J. G.; Zegeling, P. A.
1994
Moving-grid methods for time-dependent partial differential equations. Reprint of thesis. Zbl 0789.65079
Zegeling, P. A.
1993
Application of a moving grid method to a class of 1D brine transport problems in porous media. Zbl 0781.76063
Zegeling, P. A.; Verwer, J. G.; van Eijkeren, J. C. H.
1992
A note on the grid movement induced by MFE. Zbl 0766.65085
Zegeling, P. A.; Blom, J. G.
1992
An evaluation of the gradient-weighted moving-finite-element method in one space dimension. Zbl 0781.65081
Zegeling, P. A.; Blom, J. G.
1992
A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines. Zbl 0705.65066
Furzeland, R. M.; Verwer, J. G.; Zegeling, P. A.
1990
A moving grid method for one-dimensional PDEs based on the method of lines. Zbl 0697.65086
Verwer, J. G.; Blom, J. G.; Furzeland, R. M.; Zegeling, P. A.
1989
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#### Cited by 457 Authors

 16 Wei, Juncheng 12 Zegeling, Paul Andries 11 Doelman, Arjen 8 Tang, Tao 8 Ward, Michael J. 7 Khaliq, Abdul Q. M. 7 Kolokolnikov, Theodore 7 Winter, Matthias 6 Berestycki, Henri 6 Huang, Weizhang 6 Li, Bingtuan 6 Lutscher, Frithjof 6 Matar, Omar K. 6 Sheng, Qin 6 You, Yuncheng 5 Craster, Richard V. 5 Lou, Yuan 5 Saucez, Philippe 5 Vande Wouwer, Alain 5 Vo, Hoang-Hung 4 Du, Yihong 4 Kaper, Tasso J. 4 Lam, King-Yeung 4 Lewis, Mark Alun 4 McKenna, Patrick Joseph 4 Rus, Francisco 4 Russell, Robert D. 4 Soheili, Ali Reza 4 Villatoro, Francisco R. 4 Wang, Jiabing 4 Wu, Chufen 4 Zhao, Xiao-Qiang 4 Zhou, Jun 3 Bouhours, Juliette 3 Chen, Chiun-Chuan 3 Ferreira, José Augusto 3 Iron, David 3 Kot, Mark 3 Li, Ruo 3 Li, Wan-Tong 3 Liang, Kewei 3 Mimura, Masayasu 3 Nishiura, Yasumasa 3 Ou, Chunhua 3 Popov, S. P. 3 Rademacher, Jens Diederich Michael 3 Rossi, Luca 3 Schiesser, William E. 3 Tan, Zhijun 3 Tang, Huazhong 3 Vasil’eva, Ol’ga Aleksandrovna 3 Wade, Bruce A. 3 Yi, Taishan 3 Yu, Xijun 3 Zhang, Zhengru 3 Zou, Xingfu 2 Asante-Asamani, E. O. 2 Balmforth, Neil J. 2 Bewick, Sharon 2 Bhatt, Harish P. 2 Budd, Christopher John 2 Cao, Weiming 2 Champneys, Alan R. 2 Coville, Jerome 2 Dehghan Takht Fooladi, Mehdi 2 Demirkaya, Aslihan 2 Ducasse, Romain 2 Fagan, William F. 2 Fang, Jian 2 Furati, Khaled M. 2 Hamel, François 2 Hek, Geertje 2 Hu, Changbing 2 Hu, Guanghui 2 Hu, Haijun 2 Huang, Zhe 2 Hung, Li-Chang 2 Iqbal, Sehar 2 Jiwari, Ram 2 Keast, Patrick 2 Lai, Shaoyong 2 Lei, Chengxia 2 Li, Jiequan 2 Li, Shengtai 2 Lin, Ping 2 Mittal, Ramesh Chand 2 Muir, Paul H. 2 Naire, Shailesh 2 Padgett, Joshua L. 2 Peletier, Lambertus Adrianus 2 Petzold, Linda Ruth 2 Phillips, Austin 2 Plum, Michael 2 Shakeri, Fatemeh 2 Siero, Eric 2 Tan, Roger C. E. 2 Tsai, Je-Chiang 2 Ueda, Kei-ichi 2 van Heijster, Peter 2 Wang, Rong ...and 357 more Authors
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#### Cited in 95 Serials

 26 Journal of Computational Physics 19 Journal of Computational and Applied Mathematics 18 Journal of Differential Equations 16 Applied Numerical Mathematics 15 Applied Mathematics and Computation 12 Computers & Mathematics with Applications 12 Journal of Mathematical Biology 12 Physica D 8 Bulletin of Mathematical Biology 8 Journal of Dynamics and Differential Equations 7 Journal of Mathematical Analysis and Applications 6 Physics of Fluids 6 SIAM Journal on Applied Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Scientific Computing 5 Nonlinear Analysis. Real World Applications 4 Studies in Applied Mathematics 4 Numerical Algorithms 4 Computational Mathematics and Mathematical Physics 4 SIAM Journal on Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 3 Computers and Fluids 3 Chaos, Solitons and Fractals 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Mathematical Analysis 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Nonlinear Science 3 Nonlinear Dynamics 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Journal of Functional Analysis 2 Theoretical Population Biology 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Non-Newtonian Fluid Mechanics 2 Calculus of Variations and Partial Differential Equations 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Chemistry 2 Chaos 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Physics Reports 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of the Korean Mathematical Society 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 MCSS. Mathematics of Control, Signals, and Systems 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Engineering Software 1 Advances in Computational Mathematics 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Optimization Methods & Software 1 Engineering Computations 1 Communications in Contemporary Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Dynamical Systems 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Combinatorics 1 Symmetry 1 East Asian Journal on Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 29 Fields

 215 Partial differential equations (35-XX) 126 Numerical analysis (65-XX) 103 Biology and other natural sciences (92-XX) 44 Fluid mechanics (76-XX) 23 Ordinary differential equations (34-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 7 Probability theory and stochastic processes (60-XX) 3 Operator theory (47-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)