## Keast, Patrick

Compute Distance To:
 Author ID: keast.patrick Published as: Keast, P.; Keast, Patrick; Keast, Pat more...less External Links: MacTutor · Wikidata · dblp
 Documents Indexed: 32 Publications since 1966 1 Contribution as Editor Co-Authors: 13 Co-Authors with 25 Joint Publications 303 Co-Co-Authors
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### Co-Authors

 7 single-authored 9 Fairweather, Graeme 6 Diaz, Julio Cesar 6 Muir, Paul H. 4 Lyness, James N. 4 Wang, Rong 2 Bennett, Karin R. 2 Majaess, Fouad 2 Mitchell, Andrew Ronald 1 Bialecki, Bernard 1 Copson, Edward Thomas 1 Hynick, A. M. 1 Sørevik, Tor 1 Woodford, Gregory
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### Serials

 8 ACM Transactions on Mathematical Software 4 Mathematics of Computation 4 SIAM Journal on Numerical Analysis 3 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 2 Journal of the Institute of Mathematics and its Applications 1 Computer Methods in Applied Mechanics and Engineering 1 The Computer Journal. Section A / Section B 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Journal on Applied Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences
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### Fields

 27 Numerical analysis (65-XX) 12 Approximations and expansions (41-XX) 7 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 216 times in 159 Documents Cited by Year
FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination. Zbl 0516.65013
Diaz, J. C.; Fairweather, G.; Keast, P.
1983
Moderate-degree tetrahedral quadrature formulas. Zbl 0572.65008
Keast, Patrick
1986
Algorithm 688: EPDCOL: A more efficient PDECOL code. Zbl 0900.65270
Keast, P.; Muir, P. H.
1991
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. Zbl 0892.65050
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
1992
Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. Zbl 0892.65051
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
1992
A high-order global spatially adaptive collocation method for 1-D parabolic PDEs. Zbl 1049.65110
Wang, R.; Keast, P.; Muir, P.
2004
Fully symmetric integration formulas for the surface of the sphere in s dimensions. Zbl 0518.41028
Keast, Patrick; Diaz, Julio C.
1983
On the structure of fully symmetric multidimensional quadrature rules. Zbl 0406.65007
Keast, P.; Lyness, J. N.
1979
A comparison of adaptive software for 1D parabolic PDEs. Zbl 1052.65085
Wang, Rong; Keast, Patrick; Muir, Paul
2004
Cubature formulas for the surface of the sphere. Zbl 0615.65027
Keast, Patrick
1987
Application of the Smith normal form to the structure of lattice rules. Zbl 0822.65014
Lyness, J. N.; Keast, P.
1995
BACOL: B-spline adaptive collocation software for 1-D parabolic PDEs. Zbl 1070.65564
Wang, R.; Keast, P.; Muir, P.
2004
Notes on integration and integer sublattices. Zbl 0713.65015
Lyness, J. N.; Sørevik, T.; Keast, P.
1991
Finite difference solution of the third boundary problem in elliptic and parabolic equations. Zbl 0189.49001
Keast, P.; Mitchell, A. R.
1967
Optimal parameters for multidimensional integration. Zbl 0241.65027
Keast, P.
1973
The third boundary value problem for elliptic equations. Zbl 0167.45601
Keast, P.
1968
Algorithm 874: BACOLR – spatial and temporal error control software for PDEs based on high-order adaptive collocation. Zbl 1291.65400
Wang, R.; Keast, P.; Muir, P. H.
2008
Some fully symmtric quadrature formulae for product spaces. Zbl 0413.65016
Keast, P.
1979
On the instability of the Crank-Nicolson formula under derivative boundary conditions. Zbl 0146.13704
Keast, P.; Mitchell, A. R.
1966
An investigation of Romberg quadrature. Zbl 0394.65008
Fairweather, Graeme; Keast, Pat
1978
Remark on algorithm 603. Zbl 0645.65017
Diaz, J. C.; Fairweather, G.; Keast, P.
1988
Numerical integration. Recent developments, software and applications. (Proceedings of the NATO Advanced Research Workshop on Numerical Integration. Recent Developments, Software and Applications, Halifax, Canada, August 11-15, 1986). Zbl 0611.00023
1987
The stability of difference approximations to a self-adjoint parabolic equation, under derivative boundary conditions. Zbl 0205.17505
Campbell, C. M.; Keast, P.
1968
On the $$H^{-1}$$-Galerkin method for second-order linear two-point boundary value problems. Zbl 0546.65056
Fairweather, Graeme; Keast, Patrick; Diaz, Julio Cesar
1984
A sinc quadrature subroutine for Cauchy principal value integrals. Zbl 0943.65031
Bialecki, B.; Keast, P.
1999
On a boundary-value problem for the equation of heat. Zbl 0148.08901
Copson, E. T.; Keast, P.
1966
Algorithm 874: BACOLR – spatial and temporal error control software for PDEs based on high-order adaptive collocation. Zbl 1291.65400
Wang, R.; Keast, P.; Muir, P. H.
2008
A high-order global spatially adaptive collocation method for 1-D parabolic PDEs. Zbl 1049.65110
Wang, R.; Keast, P.; Muir, P.
2004
A comparison of adaptive software for 1D parabolic PDEs. Zbl 1052.65085
Wang, Rong; Keast, Patrick; Muir, Paul
2004
BACOL: B-spline adaptive collocation software for 1-D parabolic PDEs. Zbl 1070.65564
Wang, R.; Keast, P.; Muir, P.
2004
A sinc quadrature subroutine for Cauchy principal value integrals. Zbl 0943.65031
Bialecki, B.; Keast, P.
1999
Application of the Smith normal form to the structure of lattice rules. Zbl 0822.65014
Lyness, J. N.; Keast, P.
1995
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. Zbl 0892.65050
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
1992
Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. Zbl 0892.65051
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
1992
Algorithm 688: EPDCOL: A more efficient PDECOL code. Zbl 0900.65270
Keast, P.; Muir, P. H.
1991
Notes on integration and integer sublattices. Zbl 0713.65015
Lyness, J. N.; Sørevik, T.; Keast, P.
1991
Remark on algorithm 603. Zbl 0645.65017
Diaz, J. C.; Fairweather, G.; Keast, P.
1988
Cubature formulas for the surface of the sphere. Zbl 0615.65027
Keast, Patrick
1987
Numerical integration. Recent developments, software and applications. (Proceedings of the NATO Advanced Research Workshop on Numerical Integration. Recent Developments, Software and Applications, Halifax, Canada, August 11-15, 1986). Zbl 0611.00023
1987
Moderate-degree tetrahedral quadrature formulas. Zbl 0572.65008
Keast, Patrick
1986
On the $$H^{-1}$$-Galerkin method for second-order linear two-point boundary value problems. Zbl 0546.65056
Fairweather, Graeme; Keast, Patrick; Diaz, Julio Cesar
1984
FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination. Zbl 0516.65013
Diaz, J. C.; Fairweather, G.; Keast, P.
1983
Fully symmetric integration formulas for the surface of the sphere in s dimensions. Zbl 0518.41028
Keast, Patrick; Diaz, Julio C.
1983
On the structure of fully symmetric multidimensional quadrature rules. Zbl 0406.65007
Keast, P.; Lyness, J. N.
1979
Some fully symmtric quadrature formulae for product spaces. Zbl 0413.65016
Keast, P.
1979
An investigation of Romberg quadrature. Zbl 0394.65008
Fairweather, Graeme; Keast, Pat
1978
Optimal parameters for multidimensional integration. Zbl 0241.65027
Keast, P.
1973
The third boundary value problem for elliptic equations. Zbl 0167.45601
Keast, P.
1968
The stability of difference approximations to a self-adjoint parabolic equation, under derivative boundary conditions. Zbl 0205.17505
Campbell, C. M.; Keast, P.
1968
Finite difference solution of the third boundary problem in elliptic and parabolic equations. Zbl 0189.49001
Keast, P.; Mitchell, A. R.
1967
On the instability of the Crank-Nicolson formula under derivative boundary conditions. Zbl 0146.13704
Keast, P.; Mitchell, A. R.
1966
On a boundary-value problem for the equation of heat. Zbl 0148.08901
Copson, E. T.; Keast, P.
1966
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### Cited by 234 Authors

 13 Matar, Omar K. 9 Bialecki, Bernard 8 Craster, Richard V. 8 Fairweather, Graeme 7 Muir, Paul H. 6 Keast, Patrick 4 Danumjaya, Palla 4 Lyness, James N. 4 Moore, Peter K. 4 Papageorgiou, Demetrios T. 4 Paprzycki, Marcin 4 Sørevik, Tor 4 Wang, Shanshan 4 Zhang, Luming 3 Fernandes, Ryan I. 3 Guardone, Alberto 3 Karageorghis, Andreas 3 Pew, Jack 3 Wang, Rong 3 Warner, Mark R. E. 3 Xu, Yuan 2 Amodio, Pierluigi 2 Bhal, Santosh Kumar 2 Bharadwaj, Kamal K. 2 Coda, Humberto Breves 2 Cools, Ronald 2 Cyphers, Cliff 2 Dehghan Takht Fooladi, Mehdi 2 Deswal, Komal 2 Fisher, Nick 2 Gladwell, Ian 2 Guoy, Damrong 2 Heo, Sangwoo 2 Isola, Dario 2 Jiao, Xiangmin 2 Joe, Stephen 2 Kadalbajoo, Mohan K. 2 Langtry, Timothy N. 2 Naire, Shailesh 2 Pani, Amiya Kumar 2 Pascon, João Paulo 2 Phillips, Timothy N. 2 Quaranta, Giuseppe 2 Rasmussen, Henrik Koblitz 2 Román Marín, Jose Manuel 2 Tannahill, Connor 2 Xu, Da 1 Asner, Liya 1 Badal, José 1 Ballreich, Dominik 1 Barocas, Victor H. 1 Becker, Thomas M. 1 Beckers, Marc 1 Beckers, Pierre 1 Beilina, Larisa 1 Bertolazzi, Enrico 1 Biral, Francesco 1 Botten, Lindsay C. 1 Boyle, Phelim P. 1 Brankin, R. W. 1 Cash, Jeff R. 1 Chatjigeorgiou, Ioannis K. 1 Chen, Tong 1 Chen, Xueyong 1 Cheng, Juan 1 Chou, Y. S. 1 Chourushi, Tushar 1 Christara, Christina C. 1 Conroy, Devin T. 1 Cookson, A. N. 1 Da Lio, Mauro 1 Dang, Duy Minh 1 Danielson, Kent T. 1 Daviller, Guillaume 1 Debongnie, Jean-François 1 Deniau, Hugues 1 Derby, Jeffrey J. 1 Dillon, Robert H. 1 Ding, Xiaoquan 1 Dobrzynski, Cécile 1 Dossou, Kokou B. 1 Dudzinski, Michael 1 Einarsson, Bo 1 El-Mistikawy, Tarek M. A. 1 Espelid, Terje O. 1 Ethier, C. Ross 1 Falletta, Silvia 1 Fan, Huo 1 Fan, Ran 1 Faridani, Adel 1 Fasano, Antonio 1 Feng, Hui 1 Funken, Stefan A. 1 Geevers, Sjoerd 1 Genz, Alan C. 1 Geppini, M. 1 Gorenflo, Rudolf 1 Grambsch, Patricia M. 1 Gresho, Philip M. 1 Griffiths, David F. ...and 134 more Authors
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### Cited in 53 Serials

 26 Journal of Computational and Applied Mathematics 12 Journal of Computational Physics 9 Applied Mathematics and Computation 9 Applied Numerical Mathematics 9 Physics of Fluids 6 Computers & Mathematics with Applications 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics of Computation 5 Numerical Algorithms 4 BIT 4 International Journal for Numerical Methods in Engineering 4 Numerische Mathematik 3 Journal of Fluid Mechanics 3 Computational Mechanics 2 Computers and Fluids 2 Journal of Engineering Mathematics 2 Wave Motion 2 Calcolo 2 Mathematics and Computers in Simulation 2 International Journal of Computer Mathematics 2 Journal of Non-Newtonian Fluid Mechanics 2 Computational Statistics and Data Analysis 2 SIAM Journal on Scientific Computing 2 Journal of Difference Equations and Applications 1 International Journal of Mathematical Education in Science and Technology 1 International Journal for Numerical Methods in Fluids 1 Mathematical Biosciences 1 Physics Reports 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Chaos, Solitons and Fractals 1 Automatica 1 Finite Elements in Analysis and Design 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 International Journal of Computational Fluid Dynamics 1 Multibody System Dynamics 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 North American Actuarial Journal 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advances in Numerical Analysis 1 Afrika Matematika
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### Cited in 25 Fields

 114 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 37 Fluid mechanics (76-XX) 21 Approximations and expansions (41-XX) 11 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Wikidata Timeline

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