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Gustafson, Karl Edwin

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Author ID: gustafson.karl-e Recent zbMATH articles by "Gustafson, Karl Edwin"
Published as: Gustafson, K.; Gustafson, K. E.; Gustafson, Karl; Gustafson, Karl E.
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 150 Publications since 1966, including 12 Books
Biographic References: 3 Publications
all top 5

Serials

8 Linear Algebra and its Applications
5 Journal of Mathematical Analysis and Applications
5 Numerical Linear Algebra with Applications
4 Computer Physics Communications
4 Journal of Computational Physics
4 Chaos, Solitons and Fractals
3 Acta Scientiarum Mathematicarum
3 Bulletin of the American Mathematical Society
2 Archive for Rational Mechanics and Analysis
2 International Journal of Theoretical Physics
2 Letters in Mathematical Physics
2 Physica A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 The Mathematical Intelligencer
2 Journal of Approximation Theory
2 Pacific Journal of Mathematics
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Special Matrices
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 International Journal for Numerical Methods in Fluids
1 Israel Journal of Mathematics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Computational Fluid Dynamics
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Differential Equations
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal of Multivariate Analysis
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Journal of Operator Theory
1 SIAM Journal on Algebraic and Discrete Methods
1 Mathematical Modelling
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Journal of Statistical Computation and Simulation
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 SIAM Journal on Scientific Computing
1 Mathematical Modelling and Scientific Computing
1 Bulletin des Sciences Mathématiques
1 Vychislitel’nye Tekhnologii
1 Journal of Applied Mathematics and Decision Sciences
1 Network: Computation in Neural Systems
1 Discrete Dynamics in Nature and Society
1 Acta et Commentationes Universitatis Tartuensis de Mathematica
1 International Journal of Modern Physics C
1 Foundations of Physics
1 Proceedings of the Cambridge Philosophical Society
1 Journal of Mathematics and Mechanics
1 Universitext
all top 5

Fields

52 Operator theory (47-XX)
32 Fluid mechanics (76-XX)
22 Numerical analysis (65-XX)
19 Partial differential equations (35-XX)
16 Quantum theory (81-XX)
12 Probability theory and stochastic processes (60-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Functional analysis (46-XX)
6 History and biography (01-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Computer science (68-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Statistics (62-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Ordinary differential equations (34-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH

112 Publications have been cited 813 times in 461 Documents Cited by Year
Numerical range and accretivity of operator products. Zbl 0362.47001
Gustafson, Karl; Rao, Duggirala
67
1977
On the essential spectrum. Zbl 0189.44104
Gustafson, K.; Weidmann, J.
56
1969
Numerical range. The field of values of linear operators and matrices. Zbl 0874.47003
Gustafson, Karl E.; Rao, Duggirala K. M.
31
1996
Hopf bifurcation in the driven cavity. Zbl 0702.76052
Goodrich, John W.; Gustafson, Karl; Halasi, Kadosa
22
1990
The angle of an operator and positive operator products. Zbl 0172.40702
Gustafson, K.
22
1968
The third boundary condition – was it Robin’s? Zbl 0914.01005
Gustafson, Karl; Abe, Takehisa
21
1998
Vortex dynamics of cavity flows. Zbl 0595.76033
Gustafson, K.; Halasi, K.
21
1986
Multiplicative perturbation of semigroup generators. Zbl 0228.47028
Gustafson, K.; Lumer, G.
21
1972
Positive (noncommuting) operator products and semigroups. Zbl 0159.43403
Gustafson, K.
21
1968
A note on left multiplication of semigroup generators. Zbl 0157.21405
Gustafson, K.
21
1968
Cavity flow dynamics at higher Reynolds number and higher aspect ratio. Zbl 0611.76053
Gustafson, K.; Halasi, K.
18
1987
A perturbation lemma. Zbl 0148.38204
Gustafson, K.
18
1966
Wavelets and stochastic processes. Zbl 0933.60061
Antoniou, I.; Gustafson, K.
16
1999
Vortex methods and vortex motion. Zbl 0748.76010
Gustafson, Karl E. (ed.); Sethian, James A. (ed.)
16
1991
Antieigenvalue inequalities in operator theory. Zbl 0292.47007
Gustafson, Karl
15
1972
Divergence-free bases for finite element schemes in hydrodynamics. Zbl 0596.76030
Gustafson, Karl; Hartman, Robert
13
1983
Canonical commutation relations of quantum mechanics and stochastic regularity. Zbl 0345.60022
Gustafson, Karl; Misra, Baidyanath
13
1976
Some essentially self-adjoint Dirac operators with spherically symmetric potentials. Zbl 0255.47017
Gustafson, K. E.; Rejto, P. A.
13
1973
Large nonlinearities and monotonicity. Zbl 0244.47043
Gustafson, K.; Sather, D.
13
1972
An extended operator trigonometry. Zbl 0969.15013
Gustafson, Karl
12
2000
Antieigenvalue bounds. Zbl 0696.47004
Gustafson, Karl; Seddighin, Morteza
12
1989
A note on total antieigenvectors. Zbl 0803.47008
Gustafson, Karl; Seddighin, Morteza
11
1993
Lectures on computational fluid dynamics, mathematical physics, and linear algebra. With a Foreword by T. Abe and K. Kuwahara. With comments by T. Abe, K. Kuwahara, Izumi Ojima and Mitsuharu Ohtani. Zbl 0985.00008
Gustafson, Karl; Abe, Takehisa (ed.); Kuwahara, Kunio (ed.)
10
1997
Matrix trigonometry. Zbl 0826.15022
Gustafson, Karl
10
1995
The Toeplitz-Hausdorff theorem for linear operators. Zbl 0199.19202
Gustafson, Karl
10
1970
Operator trigonometry of statistics and econometrics. Zbl 1015.62054
Gustafson, Karl
9
2002
Introduction to partial differential equations and Hilbert space methods. Combined and corr. reprint of the 2nd (1987) and 3rd (1993) editions. Zbl 0955.35001
Gustafson, Karl E.
9
1999
Antieigenvalues. Zbl 0815.47016
Gustafson, Karl
9
1994
The geometrical meaning of the Kantorovich-Wielandt inequalities. Zbl 0938.47026
Gustafson, Karl
8
1999
Operator spectral states. Zbl 0909.47001
Gustafson, K.
8
1997
Introduction to partial differential equations and Hilbert space methods. Zbl 0434.35001
Gustafson, Karl E.
8
1980
Multiplicative perturbation of nonlinear m-accretive operators. Zbl 0236.47048
Calvert, B.; Gustafson, K.
8
1972
Interaction antieigenvalues. Zbl 1081.47021
Gustafson, Karl
7
2004
The time operator of wavelets. Zbl 1115.82325
Antoniou, I. E.; Gustafson, K. E.
7
2000
Operator trigonometry of iterative methods. Zbl 0889.65030
Gustafson, K.
7
1997
Operator trigonometry. Zbl 0817.47001
Gustafson, Karl
7
1994
On the Eisenbud-Wigner formula for time-delay. Zbl 0453.47003
Gustafson, K.; Sinha, K.
7
1980
Necessary and sufficient conditions for Weyl’s theorem. Zbl 0213.14301
Gustafson, K.
7
1972
Some perturbation theorems for nonnegative contraction semigroups. Zbl 0182.17502
Gustafson, K.; Sato, K.-i.
7
1969
Antieigenvalue analysis. With applications to numerical analysis, wavelets, statistics, quantum mechanics, finance and optimization. Zbl 1242.26003
Gustafson, Karl
6
2012
On the eigenvalues which express antieigenvalues. Zbl 1094.47030
Seddighin, Morteza; Gustafson, Karl
6
2005
From probabilistic descriptions to deterministic dynamics. Zbl 0799.60067
Antoniou, Ioannis E.; Gustafson, Karl E.
6
1993
Computation of dragonfly aerodynamics. Zbl 0900.76202
Gustafson, Karl; Leben, Robert
6
1991
Introduction to partial differential equations and Hilbert space methods. 2nd ed. Zbl 0623.35003
Gustafson, Karl E.
6
1987
On algebraic multiplicity. Zbl 0314.47013
Gustafson, Karl
6
1976
On projections of selfadjoint operators and operator product adjoints. Zbl 0177.17001
Gustafson, K.
6
1969
On the cosine of unbounded operators. Zbl 0174.44401
Gustafson, K.; Zwahlen, B. P.
6
1969
Compact-like operators and the Eberlein theorem. Zbl 0183.41602
Gustafson, K.
6
1968
Noncommutative trigonometry. Zbl 1181.47007
Gustafson, Karl
5
2006
An unconventional computational linear algebra: Operator trigonometry. Zbl 0971.65035
Gustafson, Karl
5
2001
Multigrid localization and multigrid grid generation for the computation of vortex structures and dynamics of flows in cavities and about airfoils. Zbl 0643.76004
Gustafson, Karl; Leben, Robert
5
1988
Kolmogorov systems and Haar systems. Zbl 0656.34038
Gustafson, K. E.; Goodrich, R. K.
5
1987
Graph theory and fluid dynamics. Zbl 0579.05060
Gustafson, Karl; Hartman, Robert
5
1985
The RKNG (Rellich, Kato, Sz.-Nagy, Gustafson) perturbation theorem for linear operators in Hilbert and Banach space. Zbl 0527.47009
Gustafson, Karl
5
1983
Exact solutions and ignition parameters in the Arrhenius conduction theory of gaseous thermal explosion. Zbl 0501.76059
Gustafson, K. E.
5
1982
Large nonlinearities and closed linear operators. Zbl 0267.47040
Gustafson, K.; Sather, D.
5
1973
Doubling perturbation sizes and preservation of operator indices in normed linear spaces. Zbl 0181.13801
Gustafson, K.
5
1969
Implicit space-time domain decomposition methods for stochastic parabolic partial differential equations. Zbl 1292.65002
Cong, Cui; Cai, Xiao-Chuan; Gustafson, Karl
4
2014
Operator trigonometry of preconditioning, domain decomposition, sparse approximate inverses, successive overrelaxation, minimum residual schemes. Zbl 1071.65040
Gustafson, Karl
4
2003
A computational trigonometry, and related contributions by Russians Kantorovich, Krein, Kaporin. Zbl 0928.65028
Gustafson, K. E.
4
1999
Theory and computation of periodic solutions of autonomous partial differential equation boundary value problems, with application to the driven cavity problem. Zbl 0835.35110
Gustafson, K.
4
1995
Vortex subdomains. Zbl 0709.76547
Gustafson, Karl; Leben, Robert
4
1988
Stability inequalities for semimonotonically perturbed non-homogeneous boundary problems. Zbl 0152.11004
Gustafson, K.
4
1967
Conditions implying commutativity of unbounded self-adjoint operators and related topics. Zbl 1399.47079
Gustafson, Karl; Mortad Hichem, Mohammed
3
2016
Time operator of Markov chains and mixing times. Applications to financial data. Zbl 1395.60078
Gialampoukidis, I.; Gustafson, K.; Antoniou, I.
3
2014
Unbounded products of operators and connections to Dirac-type operators. Zbl 1297.47004
Gustafson, Karl; Mortad, Mohammed Hichem
3
2014
Financial time operator for random walk markets. Zbl 1355.91056
Gialampoukidis, I.; Gustafson, K.; Antoniou, I.
3
2013
Slant antieigenvalues and slant antieigenvectors of operators. Zbl 1201.47037
Gustafson, Karl; Seddighin, Morteza
3
2010
The geometry of quantum probabilities. Zbl 0979.81014
Gustafson, Karl
3
1999
Operator trigonometry of the model problem. Zbl 0969.65021
Gustafson, Karl
3
1998
Domain decomposition, operator trigonometry, Robin condition. Zbl 0909.65100
Gustafson, Karl
3
1998
On K-flows and irreversibility. Zbl 0647.58042
Goodrich, R. K.; Gustafson, K.; Misra, B.
3
1986
Multigrid calculation of subvortices. Zbl 0617.76031
Gustafson, Karl; Leben, Robert
3
1986
State diagrams for Hilbert space operators. Zbl 0174.44302
Gustafson, K.
3
1968
Superstochastic matrices and magic Markov chains. Zbl 1167.15016
Gustafson, Karl; Styan, George P. H.
2
2009
(Victor) Gustave Robin: 1855–1897. Zbl 0947.01013
Gustafson, Karl; Abe, Takehisa
2
1998
Contextual quick-learning and generalization by humans and machines. Zbl 0894.68122
Bernasconi, Jakob; Gustafson, Karl
2
1998
The flow semigroup approximation problem. Zbl 0785.34042
Gustafson, K.; Halasi, K.
2
1991
On the divergence-free (i.e., mass conservation, solenoidal) condition in computational fluid dynamics: how important is it? Zbl 0551.76026
Gustafson, Karl; Halasi, Kadosa
2
1983
Calculation of critical branching points in two-parameter bifurcation problems. Zbl 0512.65066
Eaton, Brian; Gustafson, Karl
2
1983
Weighted trigonometric approximation and inner-outer functions on higher dimensional Euclidean spaces. Zbl 0494.42005
Goodrich, Robert K.; Gustafson, Karl E.
2
1981
Partial inner product spaces and semi-inner product spaces. Zbl 0493.46024
Antoine, J. P.; Gustafson, K.
2
1981
Why the Kemeny time is a constant. Zbl 1334.60142
Gustafson, Karl; Hunter, Jeffrey J.
1
2016
The crossing of heaven. Memoirs of a mathematician. Zbl 1233.01008
Gustafson, Karl
1
2012
On operator sum and product adjoints and closures. Zbl 1242.47004
Gustafson, Karl
1
2011
Operator trigonometry of multivariate finance. Zbl 1187.91229
Gustafson, Karl
1
2010
The trigonometry of twistors and elementary particles. Zbl 1183.81084
Gustafson, Karl
1
2009
Operator trigonometry of Hotelling correlation, Frobenius condition, Penrose twistor. Zbl 1165.15023
Gustafson, Karl
1
2009
The geometry of statistical efficiency and matrix statistics. Zbl 05304402
Gustafson, K.
1
2007
Wavelets and expectations: a different path to wavelets. Zbl 1157.42010
Gustafson, Karl
1
2007
Reversibility and regularity. Zbl 1134.81314
Gustafson, Karl
1
2007
Bell and Zeno. Zbl 1101.81013
Gustafson, Karl
1
2005
An inner product lemma. Zbl 1164.65346
Gustafson, Karl
1
2004
Probability, geometry, and irreversibility in quantum mechanics. Zbl 1012.81002
Gustafson, Karl
1
2001
Quantum trigonometry. Zbl 1243.81030
Gustafson, Karl
1
2000
A composition adjoint lemma. Zbl 0982.47002
Gustafson, Karl
1
2000
Ergodic learning algorithms. Zbl 0901.68079
Gustafson, Karl
1
1998
Qualitative features of high lift hovering dynamics and inertial manifolds. Zbl 0874.76007
Gustafson, K.; Leben, R.; McArthur, J.; Mundt, M.
1
1996
A note on optimal ergodic invariant measures for piecewise linear maps on fractal repellers. Zbl 1020.28500
Gustafson, K.
1
1995
Preconditioned conjugate gradient and finite element methods for massively data-parallel architectures. Zbl 0900.65077
Sobh, Nahil Atef; Gustafson, Karl
1
1991
Conditions implying commutativity of unbounded self-adjoint operators and related topics. Zbl 1399.47079
Gustafson, Karl; Mortad Hichem, Mohammed
3
2016
Why the Kemeny time is a constant. Zbl 1334.60142
Gustafson, Karl; Hunter, Jeffrey J.
1
2016
Implicit space-time domain decomposition methods for stochastic parabolic partial differential equations. Zbl 1292.65002
Cong, Cui; Cai, Xiao-Chuan; Gustafson, Karl
4
2014
Time operator of Markov chains and mixing times. Applications to financial data. Zbl 1395.60078
Gialampoukidis, I.; Gustafson, K.; Antoniou, I.
3
2014
Unbounded products of operators and connections to Dirac-type operators. Zbl 1297.47004
Gustafson, Karl; Mortad, Mohammed Hichem
3
2014
Financial time operator for random walk markets. Zbl 1355.91056
Gialampoukidis, I.; Gustafson, K.; Antoniou, I.
3
2013
Antieigenvalue analysis. With applications to numerical analysis, wavelets, statistics, quantum mechanics, finance and optimization. Zbl 1242.26003
Gustafson, Karl
6
2012
The crossing of heaven. Memoirs of a mathematician. Zbl 1233.01008
Gustafson, Karl
1
2012
On operator sum and product adjoints and closures. Zbl 1242.47004
Gustafson, Karl
1
2011
Slant antieigenvalues and slant antieigenvectors of operators. Zbl 1201.47037
Gustafson, Karl; Seddighin, Morteza
3
2010
Operator trigonometry of multivariate finance. Zbl 1187.91229
Gustafson, Karl
1
2010
Superstochastic matrices and magic Markov chains. Zbl 1167.15016
Gustafson, Karl; Styan, George P. H.
2
2009
The trigonometry of twistors and elementary particles. Zbl 1183.81084
Gustafson, Karl
1
2009
Operator trigonometry of Hotelling correlation, Frobenius condition, Penrose twistor. Zbl 1165.15023
Gustafson, Karl
1
2009
The geometry of statistical efficiency and matrix statistics. Zbl 05304402
Gustafson, K.
1
2007
Wavelets and expectations: a different path to wavelets. Zbl 1157.42010
Gustafson, Karl
1
2007
Reversibility and regularity. Zbl 1134.81314
Gustafson, Karl
1
2007
Noncommutative trigonometry. Zbl 1181.47007
Gustafson, Karl
5
2006
On the eigenvalues which express antieigenvalues. Zbl 1094.47030
Seddighin, Morteza; Gustafson, Karl
6
2005
Bell and Zeno. Zbl 1101.81013
Gustafson, Karl
1
2005
Interaction antieigenvalues. Zbl 1081.47021
Gustafson, Karl
7
2004
An inner product lemma. Zbl 1164.65346
Gustafson, Karl
1
2004
Operator trigonometry of preconditioning, domain decomposition, sparse approximate inverses, successive overrelaxation, minimum residual schemes. Zbl 1071.65040
Gustafson, Karl
4
2003
Operator trigonometry of statistics and econometrics. Zbl 1015.62054
Gustafson, Karl
9
2002
An unconventional computational linear algebra: Operator trigonometry. Zbl 0971.65035
Gustafson, Karl
5
2001
Probability, geometry, and irreversibility in quantum mechanics. Zbl 1012.81002
Gustafson, Karl
1
2001
An extended operator trigonometry. Zbl 0969.15013
Gustafson, Karl
12
2000
The time operator of wavelets. Zbl 1115.82325
Antoniou, I. E.; Gustafson, K. E.
7
2000
Quantum trigonometry. Zbl 1243.81030
Gustafson, Karl
1
2000
A composition adjoint lemma. Zbl 0982.47002
Gustafson, Karl
1
2000
Wavelets and stochastic processes. Zbl 0933.60061
Antoniou, I.; Gustafson, K.
16
1999
Introduction to partial differential equations and Hilbert space methods. Combined and corr. reprint of the 2nd (1987) and 3rd (1993) editions. Zbl 0955.35001
Gustafson, Karl E.
9
1999
The geometrical meaning of the Kantorovich-Wielandt inequalities. Zbl 0938.47026
Gustafson, Karl
8
1999
A computational trigonometry, and related contributions by Russians Kantorovich, Krein, Kaporin. Zbl 0928.65028
Gustafson, K. E.
4
1999
The geometry of quantum probabilities. Zbl 0979.81014
Gustafson, Karl
3
1999
The third boundary condition – was it Robin’s? Zbl 0914.01005
Gustafson, Karl; Abe, Takehisa
21
1998
Operator trigonometry of the model problem. Zbl 0969.65021
Gustafson, Karl
3
1998
Domain decomposition, operator trigonometry, Robin condition. Zbl 0909.65100
Gustafson, Karl
3
1998
(Victor) Gustave Robin: 1855–1897. Zbl 0947.01013
Gustafson, Karl; Abe, Takehisa
2
1998
Contextual quick-learning and generalization by humans and machines. Zbl 0894.68122
Bernasconi, Jakob; Gustafson, Karl
2
1998
Ergodic learning algorithms. Zbl 0901.68079
Gustafson, Karl
1
1998
Lectures on computational fluid dynamics, mathematical physics, and linear algebra. With a Foreword by T. Abe and K. Kuwahara. With comments by T. Abe, K. Kuwahara, Izumi Ojima and Mitsuharu Ohtani. Zbl 0985.00008
Gustafson, Karl; Abe, Takehisa (ed.); Kuwahara, Kunio (ed.)
10
1997
Operator spectral states. Zbl 0909.47001
Gustafson, K.
8
1997
Operator trigonometry of iterative methods. Zbl 0889.65030
Gustafson, K.
7
1997
Numerical range. The field of values of linear operators and matrices. Zbl 0874.47003
Gustafson, Karl E.; Rao, Duggirala K. M.
31
1996
Qualitative features of high lift hovering dynamics and inertial manifolds. Zbl 0874.76007
Gustafson, K.; Leben, R.; McArthur, J.; Mundt, M.
1
1996
Matrix trigonometry. Zbl 0826.15022
Gustafson, Karl
10
1995
Theory and computation of periodic solutions of autonomous partial differential equation boundary value problems, with application to the driven cavity problem. Zbl 0835.35110
Gustafson, K.
4
1995
A note on optimal ergodic invariant measures for piecewise linear maps on fractal repellers. Zbl 1020.28500
Gustafson, K.
1
1995
Antieigenvalues. Zbl 0815.47016
Gustafson, Karl
9
1994
Operator trigonometry. Zbl 0817.47001
Gustafson, Karl
7
1994
A note on total antieigenvectors. Zbl 0803.47008
Gustafson, Karl; Seddighin, Morteza
11
1993
From probabilistic descriptions to deterministic dynamics. Zbl 0799.60067
Antoniou, Ioannis E.; Gustafson, Karl E.
6
1993
Vortex methods and vortex motion. Zbl 0748.76010
Gustafson, Karl E. (ed.); Sethian, James A. (ed.)
16
1991
Computation of dragonfly aerodynamics. Zbl 0900.76202
Gustafson, Karl; Leben, Robert
6
1991
The flow semigroup approximation problem. Zbl 0785.34042
Gustafson, K.; Halasi, K.
2
1991
Preconditioned conjugate gradient and finite element methods for massively data-parallel architectures. Zbl 0900.65077
Sobh, Nahil Atef; Gustafson, Karl
1
1991
Time-asymptotic flow calculation. Zbl 0900.76084
Goodrich, John W.; Gustafson, Karl; Halasi, Kadosa
1
1991
Hopf bifurcation in the driven cavity. Zbl 0702.76052
Goodrich, John W.; Gustafson, Karl; Halasi, Kadosa
22
1990
Counting the number of solutions in combustion and reactive flow problems. Zbl 0706.76129
Ash, Ed; Eaton, Brian; Gustafson, Karl
1
1990
Antieigenvalue bounds. Zbl 0696.47004
Gustafson, Karl; Seddighin, Morteza
12
1989
Controversies concerning finite/infinite sequences of fluid corner vortices. Zbl 0689.76009
Gustafson, K.; Halasi, K.; Leben, R.
1
1989
Multigrid localization and multigrid grid generation for the computation of vortex structures and dynamics of flows in cavities and about airfoils. Zbl 0643.76004
Gustafson, Karl; Leben, Robert
5
1988
Vortex subdomains. Zbl 0709.76547
Gustafson, Karl; Leben, Robert
4
1988
Cavity flow dynamics at higher Reynolds number and higher aspect ratio. Zbl 0611.76053
Gustafson, K.; Halasi, K.
18
1987
Introduction to partial differential equations and Hilbert space methods. 2nd ed. Zbl 0623.35003
Gustafson, Karl E.
6
1987
Kolmogorov systems and Haar systems. Zbl 0656.34038
Gustafson, K. E.; Goodrich, R. K.
5
1987
Spectral estimation and factorization in higher dimensions. Zbl 0613.42011
Goodrich, R. K.; Gustafson, K. E.
1
1987
Vortex dynamics of cavity flows. Zbl 0595.76033
Gustafson, K.; Halasi, K.
21
1986
On K-flows and irreversibility. Zbl 0647.58042
Goodrich, R. K.; Gustafson, K.; Misra, B.
3
1986
Multigrid calculation of subvortices. Zbl 0617.76031
Gustafson, Karl; Leben, Robert
3
1986
Spectral approximation. Zbl 0641.42006
Goodrich, Robert K.; Gustafson, Karl E.
1
1986
Graph theory and fluid dynamics. Zbl 0579.05060
Gustafson, Karl; Hartman, Robert
5
1985
A new method for computing solenoidal vector vector fields on arbitrary regions. Zbl 0579.76031
Gustafson, K.; Halasi, K.; Young, D. P.
1
1985
Vorticity, incompressibility, and boundary conditions in the numerical solution of the Navier-Stokes equations. Zbl 0563.76034
Gustafson, Karl; Halasi, Kadosa
1
1984
Divergence-free bases for finite element schemes in hydrodynamics. Zbl 0596.76030
Gustafson, Karl; Hartman, Robert
13
1983
The RKNG (Rellich, Kato, Sz.-Nagy, Gustafson) perturbation theorem for linear operators in Hilbert and Banach space. Zbl 0527.47009
Gustafson, Karl
5
1983
On the divergence-free (i.e., mass conservation, solenoidal) condition in computational fluid dynamics: how important is it? Zbl 0551.76026
Gustafson, Karl; Halasi, Kadosa
2
1983
Calculation of critical branching points in two-parameter bifurcation problems. Zbl 0512.65066
Eaton, Brian; Gustafson, Karl
2
1983
Regular representation and approximation. Zbl 0576.22010
Goodrich, R. K.; Gustafson, K. E.
1
1983
Exact solutions and ignition parameters in the Arrhenius conduction theory of gaseous thermal explosion. Zbl 0501.76059
Gustafson, K. E.
5
1982
Weighted trigonometric approximation and inner-outer functions on higher dimensional Euclidean spaces. Zbl 0494.42005
Goodrich, Robert K.; Gustafson, Karl E.
2
1981
Partial inner product spaces and semi-inner product spaces. Zbl 0493.46024
Antoine, J. P.; Gustafson, K.
2
1981
Higher dimensional spectral factorization with applications to digital filtering. Zbl 0496.93054
Goodrich, R. Kent; Gustafson, Karl E.
1
1981
Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). Zbl 0489.46053
Gustafson, Karl E. (ed.); Reinhardt, William P. (ed.)
1
1981
Introduction to partial differential equations and Hilbert space methods. Zbl 0434.35001
Gustafson, Karl E.
8
1980
On the Eisenbud-Wigner formula for time-delay. Zbl 0453.47003
Gustafson, K.; Sinha, K.
7
1980
Numerical range and accretivity of operator products. Zbl 0362.47001
Gustafson, Karl; Rao, Duggirala
67
1977
Canonical commutation relations of quantum mechanics and stochastic regularity. Zbl 0345.60022
Gustafson, Karl; Misra, Baidyanath
13
1976
On algebraic multiplicity. Zbl 0314.47013
Gustafson, Karl
6
1976
Correlations and evolution equations. Zbl 0382.60070
Gustafson, K.; Misra, B.
1
1976
On operator radii. Zbl 0261.47004
Gustafson, K.; Zwahlen, B.
1
1974
Some essentially self-adjoint Dirac operators with spherically symmetric potentials. Zbl 0255.47017
Gustafson, K. E.; Rejto, P. A.
13
1973
Large nonlinearities and closed linear operators. Zbl 0267.47040
Gustafson, K.; Sather, D.
5
1973
Multiplicative perturbation of semigroup generators. Zbl 0228.47028
Gustafson, K.; Lumer, G.
21
1972
Antieigenvalue inequalities in operator theory. Zbl 0292.47007
Gustafson, Karl
15
1972
Large nonlinearities and monotonicity. Zbl 0244.47043
Gustafson, K.; Sather, D.
13
1972
Multiplicative perturbation of nonlinear m-accretive operators. Zbl 0236.47048
Calvert, B.; Gustafson, K.
8
1972
Necessary and sufficient conditions for Weyl’s theorem. Zbl 0213.14301
Gustafson, K.
7
1972
The Toeplitz-Hausdorff theorem for linear operators. Zbl 0199.19202
Gustafson, Karl
10
1970
...and 12 more Documents
all top 5

Cited by 625 Authors

58 Gustafson, Karl Edwin
26 Jeribi, Aref
11 Antoniou, Ioannis E.
8 Kubrusly, Carlos S.
8 Latrach, Khalid
7 Levan, Nhan
7 Mortad, Mohammed Hichem
7 Seddighin, Morteza
6 Abdmouleh, Faiçal
5 Hall, Charles Allan
5 Olendski, Oleg
4 Ammar, Aymen
4 Dehici, Abdelkader
4 Kalita, Jiten C.
4 Li, Shishun
4 Mnif, Maher
4 Moalla, Nedra
4 Sather, Duane
4 Suchanecki, Zdzislaw
4 Walha, Ines
4 Ye, Xiu
3 Antoine, Jean-Pierre
3 Begehr, Heinrich
3 Cassano, Biagio
3 Charfi, Salma
3 Dragomir, Sever Silvestru
3 Fishelov, Dalia
3 Gialampoukidis, Ilias
3 Gómez, Fernando Palacios
3 Goodrich, Robert Kent
3 Hunter, Jeffrey J.
3 Kannan, Rangachary
3 Landgren, J. J.
3 Li, Chi-Kwong
3 Lumer, Gunter
3 Paul, Kallol
3 Pizzichillo, Fabio
3 Rapoport, Diego L.
3 Rejto, P. A.
3 Schechter, Martin
3 Shao, Xinping
3 Shen, Jie
3 Spitkovsky, Ilya Matvey
2 Abdelmoumen, Boulbeba
2 Abe, Takehisa
2 Abu-Omar, Amer
2 Aksoy, Asuman Güven
2 Atmanspacher, Harald
2 Badea, Catalin
2 Bader, Peter
2 Baloudi, Hatem
2 Barunik, Jozef
2 Ben-Artzi, Matania
2 Bračič, Janko
2 Cai, Xiao-Chuan
2 Cavendish, James C.
2 Das, Purna Čandra
2 Debnath, Lokenath
2 Dhahri, Mohammed Zerai
2 Diogo, Cristina
2 Dunkl, Charles F.
2 Evans, William Desmond
2 Facchi, Paolo
2 Feki, Kais
2 Garayev, Mübariz Tapdıgoğlu
2 Gawron, Piotr
2 Gesztesy, Fritz
2 Gogoi, Bidyut B.
2 Goldstein, Jerome Arthur
2 Gorkin, Pamela B.
2 Halasi, Kadosa
2 Holbrook, John A. R.
2 Jauberteau, François
2 Ji, Youqing
2 Khattree, Ravindra
2 Khayat, Roger E.
2 Kittaneh, Fuad
2 Klaja, Hubert
2 Köhnen, Walter
2 Kreĭn, Selim Grigor’evich
2 Krichen, Bilel
2 Kuhlmann, Hendrik C.
2 Kumar, Rajiv
2 Lau, Pan-Shun
2 Lay, David Clark
2 Leben, Robert
2 Lebow, Arnold
2 Liang, Bin
2 Linden, Hansjörg
2 Liu, Jianguo
2 Locker, John
2 Matache, Valentin
2 Mirman, Boris
2 Misra, Baidyanath
2 Mohammed, Alip
2 Moslehian, Mohammad Sal
2 Okazawa, Noboru
2 Osborn, John E.
2 Otten, Denny
2 Paoli, Jean-Martin
...and 525 more Authors
all top 5

Cited in 168 Serials

42 Journal of Mathematical Analysis and Applications
40 Linear Algebra and its Applications
14 Journal of Computational Physics
14 Proceedings of the American Mathematical Society
13 Computers and Fluids
13 Applied Mathematics and Computation
9 Journal of Mathematical Physics
7 Chaos, Solitons and Fractals
7 Journal of Functional Analysis
7 Applied Numerical Mathematics
7 Nonlinear Analysis. Theory, Methods & Applications
6 Computers & Mathematics with Applications
6 Letters in Mathematical Physics
6 Linear and Multilinear Algebra
6 Journal of Computational and Applied Mathematics
6 Journal of Differential Equations
5 Physica A
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Journal of Approximation Theory
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Annalen der Physik
4 International Journal for Numerical Methods in Fluids
4 International Journal of Theoretical Physics
4 Journal of Scientific Computing
4 Journal of Inequalities and Applications
4 International Journal of Wavelets, Multiresolution and Information Processing
4 Bulletin of the American Mathematical Society
3 Archive for Rational Mechanics and Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Reports on Mathematical Physics
3 Mathematics of Computation
3 The Mathematical Intelligencer
3 Archiv der Mathematik
3 Mathematische Annalen
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Semigroup Forum
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 Numerical Linear Algebra with Applications
2 Bulletin of the Australian Mathematical Society
2 Computer Physics Communications
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Mathematical Biosciences
2 Physics Letters. A
2 Rocky Mountain Journal of Mathematics
2 Theoretical and Computational Fluid Dynamics
2 Reviews in Mathematical Physics
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Czechoslovak Mathematical Journal
2 Integral Equations and Operator Theory
2 International Journal for Numerical Methods in Engineering
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 Mathematics and Computers in Simulation
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 SIAM Journal on Algebraic and Discrete Methods
2 Applied Mathematical Modelling
2 Journal of Statistical Computation and Simulation
2 SIAM Journal on Mathematical Analysis
2 Abstract and Applied Analysis
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 European Journal of Mechanics. B. Fluids
2 Journal of the Australian Mathematical Society
2 Foundations of Physics
2 Proceedings of the Japan Academy
2 Complex Variables and Elliptic Equations
2 Functional Analysis, Approximation and Computation
2 Annals of Functional Analysis
2 Special Matrices
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Mathematische Semesterberichte
1 Nuclear Physics. B
1 Wave Motion
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Annales de l’Institut Fourier
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Automatica
1 BIT
1 Calcolo
1 Computing
1 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Psychology
1 Journal of Multivariate Analysis
1 Kyungpook Mathematical Journal
1 Mathematica Slovaca
...and 68 more Serials
all top 5

Cited in 50 Fields

222 Operator theory (47-XX)
83 Fluid mechanics (76-XX)
82 Partial differential equations (35-XX)
57 Numerical analysis (65-XX)
51 Linear and multilinear algebra; matrix theory (15-XX)
38 Quantum theory (81-XX)
27 Statistical mechanics, structure of matter (82-XX)
23 Functional analysis (46-XX)
22 Ordinary differential equations (34-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
22 Probability theory and stochastic processes (60-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 Statistics (62-XX)
12 Functions of a complex variable (30-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Biology and other natural sciences (92-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Integral equations (45-XX)
6 Potential theory (31-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Combinatorics (05-XX)
5 Real functions (26-XX)
4 History and biography (01-XX)
4 Approximations and expansions (41-XX)
4 Mechanics of deformable solids (74-XX)
4 Operations research, mathematical programming (90-XX)
4 Systems theory; control (93-XX)
3 Difference and functional equations (39-XX)
3 Computer science (68-XX)
3 Information and communication theory, circuits (94-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Optics, electromagnetic theory (78-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)

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