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## McKinney, William R.

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 Author ID: mckinney.william-r Published as: McKinney, William R.; McKinney, W. R.; McKinney, William; Mckinney, W. R.
 Documents Indexed: 16 Publications since 1988
all top 5

#### Co-Authors

 0 single-authored 11 Karakashian, Ohannes A. 9 Dougalis, Vassilios A. 6 Bona, Jerry Lloyd 4 Akrivis, Georgios D. 2 Hallam, Thomas G. 2 Lassiter, Ray R. 1 Alikakos, Nicholas D. 1 Dix, Daniel B. 1 Jaworska, Joanna S. 1 Li, Jia 1 Restrepo, Juan Mario
all top 5

#### Serials

 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 Differential and Integral Equations 1 Philosophical Transactions of the Royal Society of London. Series A 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing

#### Fields

 13 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Fluid mechanics (76-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH Open

16 Publications have been cited 171 times in 138 Documents Cited by Year
Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1995
Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131
Bona, J. L.; McKinney, W. R.; Restrepo, J. M.
2000
Numerical approximation of blow-up of radially symmetric solutions of the nonlinear Schrödinger equation. Zbl 1039.35115
Akrivis, G. D.; Dougalis, V. A.; Karakashian, O. A.; Mckinney, W. R.
2003
On optimal high-order in time approximations for the Korteweg-de Vries equation. Zbl 0725.65107
Karakashian, Ohannes; McKinney, William
1990
The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1996
Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation. Zbl 0757.65123
Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1992
Numerical computations of self-similar blow-up solutions of the generalized Korteweg-de Vries equation. Zbl 1007.65061
Dix, Daniel B.; McKinney, William R.
1998
Numerical approximation of singular solutions of the damped nonlinear Schrödinger equation. Zbl 0963.65527
Akrivis, G. D.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1998
Fully-discrete methods with grid refinement for the generalized Korteweg- de Vries equation. Zbl 0744.76082
Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1991
Galerkin-finite element methods for the nonlinear Schrödinger equation. Zbl 0796.65144
Akrivis, Georgios D.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1993
Galerkin-finite element methods for the nonlinear Schrödinger equation. Zbl 0812.65117
Akrivis, Georgios D.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1992
On the approximation of solutions of the generalized Korteweg-de Vries- Burgers equation. Zbl 0811.65115
Karakashian, Ohannes; McKinney, William
1994
Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation. Zbl 0860.35112
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1996
Physiologically based models in predator-prey ecology: An introduction. Zbl 0900.92157
Hallam, Thomas G.; Lassiter, Ray R.; Jaworska, Joanna; McKinney, William
1992
Physiologically structured population models in risk assessment. Zbl 0647.92022
Hallam, Thomas G.; Lassiter, Ray R.; Li, Jia; McKinney, William
1988
Remarks on the equilibrium theory for the Cahn-Hilliard equation in one space dimension. Zbl 0722.35082
Alikakos, Nicholas D.; McKinney, William R.
1990
Numerical approximation of blow-up of radially symmetric solutions of the nonlinear Schrödinger equation. Zbl 1039.35115
Akrivis, G. D.; Dougalis, V. A.; Karakashian, O. A.; Mckinney, W. R.
2003
Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131
Bona, J. L.; McKinney, W. R.; Restrepo, J. M.
2000
Numerical computations of self-similar blow-up solutions of the generalized Korteweg-de Vries equation. Zbl 1007.65061
Dix, Daniel B.; McKinney, William R.
1998
Numerical approximation of singular solutions of the damped nonlinear Schrödinger equation. Zbl 0963.65527
Akrivis, G. D.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1998
The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1996
Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation. Zbl 0860.35112
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1996
Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1995
On the approximation of solutions of the generalized Korteweg-de Vries- Burgers equation. Zbl 0811.65115
Karakashian, Ohannes; McKinney, William
1994
Galerkin-finite element methods for the nonlinear Schrödinger equation. Zbl 0796.65144
Akrivis, Georgios D.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1993
Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation. Zbl 0757.65123
Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1992
Galerkin-finite element methods for the nonlinear Schrödinger equation. Zbl 0812.65117
Akrivis, Georgios D.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1992
Physiologically based models in predator-prey ecology: An introduction. Zbl 0900.92157
Hallam, Thomas G.; Lassiter, Ray R.; Jaworska, Joanna; McKinney, William
1992
Fully-discrete methods with grid refinement for the generalized Korteweg- de Vries equation. Zbl 0744.76082
Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
1991
On optimal high-order in time approximations for the Korteweg-de Vries equation. Zbl 0725.65107
Karakashian, Ohannes; McKinney, William
1990
Remarks on the equilibrium theory for the Cahn-Hilliard equation in one space dimension. Zbl 0722.35082
Alikakos, Nicholas D.; McKinney, William R.
1990
Physiologically structured population models in risk assessment. Zbl 0647.92022
Hallam, Thomas G.; Lassiter, Ray R.; Li, Jia; McKinney, William
1988
all top 5

#### Cited by 213 Authors

 9 Physica D 7 Journal of Computational and Applied Mathematics 7 Mathematics and Computers in Simulation 7 Applied Numerical Mathematics 6 Applied Mathematics and Computation 5 Journal of Computational Physics 5 Wave Motion 4 Journal of Nonlinear Science 3 Journal of Mathematical Physics 3 Numerische Mathematik 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Journal of the American Mathematical Society 3 Journal of Scientific Computing 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Nonlinear Dynamics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Calcolo 1 Computing 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Nagoya Mathematical Journal 1 Studies in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Qualitative Theory of Dynamical Systems 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Complex Analysis and Operator Theory 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications 1 Water Waves