# zbMATH — the first resource for mathematics

## Baker, Garth A.

Compute Distance To:
 Author ID: baker.garth-a Published as: Baker, G.; Baker, G. A.; Baker, Garth; Baker, Garth A.
 Documents Indexed: 30 Publications since 1950, including 1 Book
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#### Co-Authors

 6 single-authored 7 Dougalis, Vassilios A. 4 Karakashian, Ohannes A. 2 Bramble, James H. 2 Jureidini, Wadi N. 2 Mulay, Shashikant B. 2 Serbin, Steven M. 1 Canright, Geoff S. 1 Dodziuk, Jozef 1 Freire, Alexandre 1 Pacelli, Graziella 1 Sundberg, Carl-Erik W. 1 Thomée, Vidar 1 Zirilli, Francesco
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#### Serials

 7 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 2 RAIRO. Analyse Numérique 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 15 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX)

#### Citations contained in zbMATH

24 Publications have been cited 518 times in 449 Documents Cited by Year
Finite element methods for elliptic equations using nonconforming elements. Zbl 0364.65085
Baker, Garth A.
1977
Error estimation for finite element methods for second order hyperbolic equations. Zbl 0345.65059
Baker, Garth A.
1976
Piecewise solenoidal vector fields and the Stokes problem. Zbl 0719.76047
Baker, Garth A.; Jureidini, Wadi N.; Karakashian, Ohannes A.
1990
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057
Baker, Garth A.; Bramble, James H.
1979
On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations. Zbl 0503.76038
Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes A.
1982
Convergence of Galerkin approximations for the Korteweg-de Vries equation. Zbl 0519.65073
Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes A.
1983
Single step Galerkin approximations for parabolic problems. Zbl 0378.65061
Baker, Garth A.; Bramble, James H.; Thomee, Vidar
1977
The effect of quadrature errors on finite element approximations for second order hyperbolic equations. Zbl 0337.65060
Baker, Garth A.; Dougalis, Vassilios A.
1976
An approximation theorem for second-order evolution equations. Zbl 0445.65075
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1980
On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations. Zbl 0451.65076
Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes
1980
High order accurate two-step approximations for hyperbolic equations. Zbl 0411.65057
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1979
A finite element for first order hyperbolic equations. Zbl 0323.65035
Baker, Garth A.
1975
Stability of spectra of Hodge-de Rham Laplacian. Zbl 1004.58016
Baker, Garth A.; Dodziuk, Józef
1997
On the spectral problem for anyons. Zbl 0765.35037
Baker, Garth A.; Canright, Geoff S.; Mulay, Shashikant B.; Sundberg, Carl
1993
On the $$L^\infty$$-convergence of Galerkin approximations for second- order hyperbolic equations. Zbl 0454.65078
Baker, Garth A.; Dougalis, Vassilios A.
1980
Simplified proofs of error estimates for the least squares method for Dirichlet’s problem. Zbl 0297.65058
Baker, Garth A.
1973
On the form of free energy and specific heat in coupled thermo-elastcity with isotropic damage. Zbl 0988.74005
Stabler, J.; Baker, G.
2000
A nonstandard finite element method for the stationary two-dimensional Navier-Stokes equations. Zbl 0638.76028
Baker, G. A.; Jureidini, W. N.
1987
Fractional step methods for thermo-mechanical damage analyses at transient elevated temperatures. Zbl 0974.74079
Stabler, J.; Baker, G.
2000
Exact deflections in nonprismatic members. Zbl 0900.73277
Baker, G.
1996
Geometric and analytical aspects of anyons. Zbl 0849.32026
Baker, Garth A.; Mulay, S. B.
1995
Thermoplasticity model for concrete under transient temperature and biaxial stress. Zbl 0825.73060
Khennane, A.; Baker, G.
1992
On some nonlinear boundary value problem on the Poincaré disc with discontinuous data. II. Zbl 0526.35034
Baker, Garth; Pacelli, Graziella; Zirilli, Francesco
1986
Yield trials with backcross derived lines of wheat. Zbl 0041.45810
Baker, G. A.; Briggs, F. N.
1950
On the form of free energy and specific heat in coupled thermo-elastcity with isotropic damage. Zbl 0988.74005
Stabler, J.; Baker, G.
2000
Fractional step methods for thermo-mechanical damage analyses at transient elevated temperatures. Zbl 0974.74079
Stabler, J.; Baker, G.
2000
Stability of spectra of Hodge-de Rham Laplacian. Zbl 1004.58016
Baker, Garth A.; Dodziuk, Józef
1997
Exact deflections in nonprismatic members. Zbl 0900.73277
Baker, G.
1996
Geometric and analytical aspects of anyons. Zbl 0849.32026
Baker, Garth A.; Mulay, S. B.
1995
On the spectral problem for anyons. Zbl 0765.35037
Baker, Garth A.; Canright, Geoff S.; Mulay, Shashikant B.; Sundberg, Carl
1993
Thermoplasticity model for concrete under transient temperature and biaxial stress. Zbl 0825.73060
Khennane, A.; Baker, G.
1992
Piecewise solenoidal vector fields and the Stokes problem. Zbl 0719.76047
Baker, Garth A.; Jureidini, Wadi N.; Karakashian, Ohannes A.
1990
A nonstandard finite element method for the stationary two-dimensional Navier-Stokes equations. Zbl 0638.76028
Baker, G. A.; Jureidini, W. N.
1987
On some nonlinear boundary value problem on the Poincaré disc with discontinuous data. II. Zbl 0526.35034
Baker, Garth; Pacelli, Graziella; Zirilli, Francesco
1986
Convergence of Galerkin approximations for the Korteweg-de Vries equation. Zbl 0519.65073
Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes A.
1983
On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations. Zbl 0503.76038
Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes A.
1982
An approximation theorem for second-order evolution equations. Zbl 0445.65075
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1980
On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations. Zbl 0451.65076
Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes
1980
On the $$L^\infty$$-convergence of Galerkin approximations for second- order hyperbolic equations. Zbl 0454.65078
Baker, Garth A.; Dougalis, Vassilios A.
1980
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057
Baker, Garth A.; Bramble, James H.
1979
High order accurate two-step approximations for hyperbolic equations. Zbl 0411.65057
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1979
Finite element methods for elliptic equations using nonconforming elements. Zbl 0364.65085
Baker, Garth A.
1977
Single step Galerkin approximations for parabolic problems. Zbl 0378.65061
Baker, Garth A.; Bramble, James H.; Thomee, Vidar
1977
Error estimation for finite element methods for second order hyperbolic equations. Zbl 0345.65059
Baker, Garth A.
1976
The effect of quadrature errors on finite element approximations for second order hyperbolic equations. Zbl 0337.65060
Baker, Garth A.; Dougalis, Vassilios A.
1976
A finite element for first order hyperbolic equations. Zbl 0323.65035
Baker, Garth A.
1975
Simplified proofs of error estimates for the least squares method for Dirichlet’s problem. Zbl 0297.65058
Baker, Garth A.
1973
Yield trials with backcross derived lines of wheat. Zbl 0041.45810
Baker, G. A.; Briggs, F. N.
1950
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#### Cited by 612 Authors

 17 Karakashian, Ohannes A. 16 Cockburn, Bernardo 15 Dougalis, Vassilios A. 12 He, Yinnian 10 Serbin, Steven M. 9 Makridakis, Charalambos G. 8 Burman, Erik 8 Schötzau, Dominik 8 Wheeler, Mary Fanett 7 Layton, William J. 6 Abdulle, Assyr 6 Baker, Garth A. 6 Bona, Jerry Lloyd 6 Hansbo, Peter 6 Huang, Jianguo 6 Wu, Haijun 5 Antonietti, Paola Francesca 5 Bales, Laurence A. 5 Grote, Marcus J. 5 Larson, Mats G. 5 Liu, Hailiang 5 Pani, Amiya Kumar 5 Stamm, Benjamin 5 Thomée, Vidar 4 Akrivis, Georgios D. 4 Bramble, James H. 4 Deka, Bhupen 4 Feng, Xiaobing 4 Geveci, Tunc 4 Gudi, Thirupathi 4 Gunzburger, Max D. 4 Hagstrom, Thomas M. 4 Kanschat, Guido 4 Karaa, Samir 4 Li, Jian 4 Mozolevsky, Igor E. 4 Neilan, Michael 4 Süli, Endre E. 4 Wihler, Thomas Pascal 3 Banks, Jeffrey W. 3 Brenner, Susanne Cecelia 3 Chen, Yanping 3 Deineka, V. S. 3 Du, Yu 3 Ern, Alexandre 3 Ewing, Richard Edward 3 Feng, Wenqiang 3 Georgoulis, Emmanuil H. 3 Guermond, Jean-Luc 3 Han, Weimin 3 Huang, Pengzhan 3 Kim, Tae-Yeon 3 Lai, Junjiang 3 Li, Jichun 3 Lin, Yanping 3 Liu, Ruijie 3 Lundholm, Douglas 3 McKinney, William R. 3 Mehlin, Michaela 3 Monk, Peter B. 3 Rogava, Jemal L. 3 Shi, Zhongci 3 Shu, Chi-Wang 3 Sinha, Rajen Kumar 3 Skopetsky, Vasyl V. 3 Sun, Shuyu 3 Tsiklauri, Mikheil 3 Verani, Marco 3 Wang, Cheng 3 Wohlmuth, Barbara I. 3 Yan, Jue 3 Zhang, Zhimin 3 Zhu, Lingxue 2 Adewole, Matthew Olayiwola 2 Adjerid, Slimane 2 Alonso-Mallo, Isaías 2 An, Rong 2 Angoshtari, Arzhang 2 Bi, Chunjia 2 Bösing, Paulo Rafael 2 Brezzi, Franco 2 Cai, Wei 2 Cano, Begoña 2 Cao, Waixiang 2 Carstensen, Carsten 2 Charalambous, Nelia 2 Chen, Hongqiu 2 Chen, Hongsen 2 Chen, Zhangxin 2 Cheng, Yingda 2 Crouzeix, Michel 2 Cui, Jintao 2 da Costa Mattos, Heraldo S. 2 Dawson, Clint N. 2 Dean, R. H. 2 Deng, Weibing 2 Dikhaminjia, Nana 2 Dong, Bo 2 Dupont, Todd F. 2 Dutra do Carmo, Eduardo Gomes ...and 512 more Authors
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#### Cited in 101 Serials

 48 Mathematics of Computation 41 Computer Methods in Applied Mechanics and Engineering 38 Journal of Scientific Computing 31 Computers & Mathematics with Applications 25 Journal of Computational and Applied Mathematics 22 Numerical Methods for Partial Differential Equations 19 Numerische Mathematik 19 Applied Numerical Mathematics 17 Journal of Computational Physics 14 Applied Mathematics and Computation 11 SIAM Journal on Numerical Analysis 9 Calcolo 7 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Computers and Fluids 5 RAIRO. Analyse Numérique 5 SIAM Journal on Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 BIT 4 Numerical Functional Analysis and Optimization 4 Computers and Mathematics with Applications. Part A 4 Cybernetics and Systems Analysis 3 International Journal for Numerical Methods in Fluids 3 Mathematical Notes 3 Computing 3 Mathematics and Computers in Simulation 3 Abstract and Applied Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal for Numerical Methods in Engineering 2 Differential Geometry and its Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Communications in Numerical Methods in Engineering 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Computational Geosciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 Boundary Value Problems 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 Advances in Numerical Analysis 1 Applicable Analysis 1 Fluid Dynamics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Advances in Mathematics 1 Aplikace Matematiky 1 Duke Mathematical Journal 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Iranian Mathematical Society 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Physical Review Letters 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Journal of Systems Science and Complexity 1 Portugaliae Mathematica. Nova Série 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Journal of Nonlinear Science and Applications 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Science China. Mathematics 1 Journal of Applied Mathematics & Informatics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Applied Analysis and Computation 1 Communications in Mathematics and Statistics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Nonlinear Analysis. Theory, Methods & Applications ...and 1 more Serials
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#### Cited in 29 Fields

 382 Numerical analysis (65-XX) 245 Partial differential equations (35-XX) 102 Fluid mechanics (76-XX) 63 Mechanics of deformable solids (74-XX) 21 Optics, electromagnetic theory (78-XX) 12 Quantum theory (81-XX) 11 Ordinary differential equations (34-XX) 10 Approximations and expansions (41-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 7 Potential theory (31-XX) 7 Integral equations (45-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Geophysics (86-XX) 6 Operator theory (47-XX) 4 Functional analysis (46-XX) 4 Biology and other natural sciences (92-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX)