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Kellogg, Bruce

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Author ID: kellogg.bruce Recent zbMATH articles by "Kellogg, Bruce"
Published as: Kellogg, R. B.; Kellogg, R. Bruce; Kellogg, Bruce; Bruce Kellogg, R.; Kellogg, B.
External Links: MGP · Wikidata · dblp · MacTutor
Documents Indexed: 104 Publications since 1959
Biographic References: 1 Publication
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Serials

11 Mathematics of Computation
11 SIAM Journal on Numerical Analysis
6 Journal of Mathematical Analysis and Applications
6 SIAM Journal on Mathematical Analysis
4 Journal of Differential Equations
4 Journal of Scientific Computing
3 Mathematical Biosciences
3 Numerische Mathematik
3 SIAM Journal on Applied Mathematics
3 Journal of the Society for Industrial & Applied Mathematics
2 Applicable Analysis
2 Journal of Computational Physics
2 Linear and Multilinear Algebra
2 Linear Algebra and its Applications
2 Journal of Mathematical Fluid Mechanics
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Bulletin of Mathematical Biology
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 BIT
1 Journal of Functional Analysis
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Transactions of the American Mathematical Society
1 Journal of Computational Mathematics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Differential and Integral Equations
1 Mathematica Bohemica
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Computational Methods in Applied Mathematics
1 International Journal of Numerical Analysis and Modeling
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Journal of Research of the National Bureau of Standards

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 1,472 times in 1,166 Documents Cited by Year
Analysis of some difference approximations for a singular perturbation problem without turning points. Zbl 0418.65040
Kellogg, R. Bruce; Tsan, Alice
174
1978
A regularity result for the Stokes problem in a convex polygon. Zbl 0317.35037
Kellogg, R. B.; Osborn, J. E.
137
1976
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
114
1979
Differentiability properties of solutions of the equation \(-\epsilon ^ 2\Delta u+ru=f(x,y)\) in a square. Zbl 0732.35020
Han, H.; Kellogg, R. B.
77
1990
On the Poisson equation with intersecting interfaces. Zbl 0307.35038
Kellogg, R. Bruce
72
1974
A constructive proof of the Brouwer fixed-point theorem and computational results. Zbl 0355.65037
Kellogg, R. B.; Li, T. Y.; Yorke, J.
68
1976
Asymptotic analysis of a singular perturbation problem. Zbl 0642.35006
Shih, Shagi-Di; Kellogg, R. Bruce
49
1987
Matrices similar to a positive or essentially positive matrix. Zbl 0215.37504
Kellogg, R. B.
47
1971
Corner singularities and boundary layers in a simple convection-diffusion problem. Zbl 1159.35309
Kellogg, R. Bruce; Stynes, Martin
46
2005
A priori estimates and analysis of a numerical method for a turning point problem. Zbl 0542.34050
Berger, Alan E.; Han, Houde; Kellogg, R. Bruce
38
1984
Least squares methods for elliptic systems. Zbl 0609.35034
Aziz, A. K.; Kellogg, R. B.; Stephens, A. B.
35
1985
An alternating direction method for operator equations. Zbl 0125.35601
Kellogg, R. B.
31
1964
Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem. Zbl 1201.35094
Kellogg, R. Bruce; Stynes, Martin
27
2007
Compressible Navier-Stokes equations in a bounded domain with inflow boundary condition. Zbl 0866.35092
Kweon, Jae Ryong; Kellogg, R. Bruce
26
1997
A tailored finite point method for a singular perturbation problem on an unbounded domain. Zbl 1203.65221
Han, Houde; Huang, Zhongyi; Kellogg, R. Bruce
26
2008
On a differential equation arising from compartmental analysis. Zbl 0375.34028
Aronsson, G.; Kellogg, R. B.
23
1978
Singularities in interface problems. Zbl 0312.35009
Kellogg, R. B.
20
1971
Uniqueness in the Schauder fixed point theorem. Zbl 0352.47025
Kellogg, R. B.
19
1977
Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon. Zbl 1002.35095
Kweon, Jae Ryong; Kellogg, R. Bruce
19
2002
A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions. Zbl 1198.65209
Kellogg, R. Bruce; Linss, Torsten; Stynes, Martin
17
2008
Regularity of solutions to the Navier-Stokes system for compressible flows on a polygon. Zbl 1064.35137
Kweon, Jae Ryong; Kellogg, R. Bruce
15
2004
A two-point boundary value problem with a rapidly oscillating solution. Zbl 0645.65041
Aziz, A. K.; Kellogg, R. B.; Stephens, A. B.
15
1988
Higher order singularities for interface problems. Zbl 0262.35013
Kellogg, R. B.
14
1972
A parameter-robust numerical method for a system of reaction-diffusion equations in two dimensions. Zbl 1133.65088
Kellogg, R. B.; Madden, Niall; Stynes, Martin
13
2008
Smooth solution of the compressible Navier-Stokes equations in an unbounded domain with inflow boundary condition. Zbl 0910.35093
Kweon, Jae Ryong; Kellogg, R. Bruce
12
1998
Finite element analysis of a scattering problem. Zbl 0572.65105
Aziz, A. K.; Kellogg, R. Bruce
12
1981
Iterative methods for a forward-backward heat equation. Zbl 0708.65082
Vanaja, V.; Kellogg, R. B.
12
1990
A nonlinear alternating direction method. Zbl 0185.39902
Kellogg, R. B.
12
1969
A new approximation method for the Helmholtz equation in an exterior domain. Zbl 0494.65067
Aziz, A. K.; Dorr, M. R.; Kellogg, R. B.
11
1982
A finite element method for the compressible Stokes equations. Zbl 0852.76044
Kellogg, R. Bruce; Liu, Biyue
11
1996
Corner singularities and singular perturbations. Zbl 1119.35318
Kellogg, R. Bruce
11
2001
Boundary layers and corner singularities for a self-adjoint problem. Zbl 0824.35006
Kellogg, Bruce
10
1995
Another alternating-direction-implicit method. Zbl 0214.14703
Kellogg, R. B.
10
1964
Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities. Zbl 1244.65173
Franz, Sebastian; Kellogg, R. Bruce; Stynes, Martin
9
2012
Mathematical analysis of a model for the renal concentrating mechanism. Zbl 0521.92007
Garner, J. B.; Kellogg, R. B.; Stephenson, J. L.
9
1983
Compressible Stokes problem on nonconvex polygonal domains. Zbl 0993.35073
Kweon, Jae Ryong; Kellogg, R. Bruce
9
2001
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. Zbl 0962.65082
Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce
9
1999
Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain. Zbl 0367.65062
Walden, H.; Kellogg, R. B.
9
1977
Complex eigenvalues of a non-negative matrix with a specified graph. Zbl 0387.15008
Kellogg, R. B.; Stephens, A. B.
9
1978
Discontinuous solutions of the linearized, steady state, compressible, viscous, Navier-Stokes equations. Zbl 0651.76028
Kellogg, R. Bruce
9
1988
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain. Zbl 1184.35022
Kellogg, R. Bruce; Kopteva, Natalia
8
2010
Difference equations on a mesh arising from a general triangulation. Zbl 0119.12403
Kellogg, R. B.
8
1964
Asymptotic behavior of the solution of the integral transport equation in slab geometry. Zbl 0351.45001
Kaper, Hans G.; Kellogg, R. Bruce
7
1977
Estimating optimum overrelaxation parameters. Zbl 0165.50301
Hageman, L. A.; Kellogg, R. B.
7
1968
Some singular perturbation problems in renal models. Zbl 0676.76104
Kellogg, R. B.
7
1987
Optimal approximability of solutions of singularly perturbed two-point boundary value problems. Zbl 0884.41017
Kellogg, R. Bruce; Stynes, Martin
6
1997
Comparison of numerical methods for renal network flows. Zbl 0364.65063
Mejia, R.; Kellogg, R. B.; Stephenson, J. L.
6
1977
Complex eigenvalues of a non-negative matrix with a specified graph. II. Zbl 0407.15010
Johnson, Charles R.; Kellogg, R. B.; Stephens, A. B.
6
1979
On optimal alternating direction parameters for singluar matrices. Zbl 0208.18203
Kellogg, R. B.; Spanier, J.
6
1965
Layers and corner singularities in singularly perturbed elliptic problems. Zbl 1148.65089
Kellogg, R. Bruce; Stynes, Martin
6
2008
Uniqueness and the cell Reynolds number. Zbl 0463.76069
Kellogg, R. B.; Shubin, G. R.; Stephens, A. B.
6
1980
Nonuniform error estimates for the finite element method. Zbl 0339.65062
Babuška, Ivo; Kellogg, R. B.
6
1975
An interior discontinuity of a nonlinear elliptic-hyperbolic system. Zbl 0735.76054
Chen, Senhuei E.; Kellogg, R. Bruce
6
1991
An error estimate for elliptic difference equations on a convex polygon. Zbl 0143.17602
Kellogg, R. B.
6
1966
n-widths and singularly perturbed boundary value problems. Zbl 0974.41018
Kellogg, R. Bruce; Stynes, Martin
5
1999
Analysis of flow directed iterations. Zbl 0743.76075
Han, Houde; Il’in, V. P.; Kellogg, R. B.; Wei, Yuan
5
1992
On homeomorphisms for an elliptic equation in domains with corners. Zbl 0829.35026
Aziz, A. K.; Kellogg, R. B.
5
1995
A one tube flow problem arising in physiology. Zbl 0428.92012
Garner, J. B.; Kellogg, R. B.
5
1980
A tailored finite point method for convection-diffusion-reaction problems. Zbl 1203.65151
Shih, Yintzer; Kellogg, R. Bruce; Tsai, Peishan
5
2010
A numerical solution for axially symmetrical and plane elasticity problems. Zbl 0152.42801
Griffin, D. S.; Kellogg, R. B.
5
1967
On the rate of convergence of some difference schemes for second order elliptic equations. Zbl 0172.20004
Bramble, J. H.; Kellogg, R. B.; Thomee, V.
5
1968
Regularity and derivative bounds for a convection-diffusion problem with a Neumann outflow condition. Zbl 1181.35054
Naughton, Aidan; Kellogg, R. Bruce; Stynes, Martin
4
2009
Discontinuous solutions of linearized, steady state, viscous, compressible flows. Zbl 0796.76073
Liu, Biyue; Kellogg, R. Bruce
4
1993
A method of continuation for calculating a Brouwer fixed point. Zbl 0426.90094
Kellogg, R. B.; Li, T. Y.; Yorke, J.
4
1977
A method of enriched subspaces for the numerical solution of a parabolic singular perturbation problem. Zbl 0511.65083
Han, Houde; Kellogg, R. B.
3
1982
Diffusion and convection in a family of tubes. Zbl 0544.76107
Garner, J. B.; Kellogg, R. B.
3
1982
Characteristic tailored finite point method for convection-dominated convection-diffusion-reaction problems. Zbl 1217.65211
Shih, Yintzer; Kellogg, R. Bruce; Chang, Yoyo
3
2011
Analysis of a difference approximation for a singular perturbation problem in two dimensions. Zbl 0439.65081
Kellogg, R. B.
3
1980
Some simple boundary value problems with corner singularities and boundary layers. Zbl 1136.35344
Kellogg, B.
3
2006
A singularly perturbed convection-diffusion problem in a half-plane. Zbl 1156.35349
Kellogg, R. Bruce; Stynes, Martin
3
2006
An enriched subspace finite element method for convection-diffusion problems. Zbl 1200.65071
Kellogg, R. Bruce; Xenophontos, Christos
3
2010
\(n\)-widths and singularly perturbed boundary value problems. II. Zbl 1097.35013
Kellogg, R. Bruce; Stynes, Martin
2
2001
The analysis of a finite element method for the Navier-Stokes equations with compressibility. Zbl 0961.76043
Kellogg, Bruce; Liu, Biyue
2
2000
A penalized finite element method for a compressible Stokes system. Zbl 0882.76039
Kellogg, R. Bruce; Liu, Biyue
2
1997
Spectral bounds and iterative methods in convection dominated flow. Zbl 0771.65067
Kellogg, R. B.
2
1991
Continuity and differentiability properties of the solution of the linear transport equation. Zbl 0351.45002
Kaper, Hans G.; Kellogg, R. Bruce
2
1977
Solution of equilibrium equations in thermal networks. Zbl 0183.44803
Birkhoff, Garrett; Kellogg, Bruce
2
1966
Singularities in the density gradient. Zbl 1101.76049
Kweon, Jae Ryong; Kellogg, R. Bruce
2
2006
Flow directed iterations for convection dominated flow. Zbl 0678.76085
Han, H.; Il’in, V. P.; Kellogg, R. B.
2
1988
The diffusion-convection equation with pressure. Zbl 0493.76128
Garner, J. B.; Kellogg, R. B.
1
1981
On the behavior of the exact solution and the error in a numerical solution of a turning point problem. Zbl 0511.65063
Berger, Alan E.; Han, Houde; Kellogg, R. Bruce
1
1982
Numerical analysis of singular perturbation problems. Zbl 0515.65067
Kellogg, R. B.; Han, Houde
1
1983
An inequality for doubly stochastic matrices. Zbl 0356.15018
Johnson, Charles R.; Kellogg, R. Bruce
1
1977
Erratum to: “Complex eigenvalues of a non-negative matrix with a specified graph. II”. Zbl 0439.15004
Johnson, Charles R.; Kellogg, R. B.; Stephens, A. B.
1
1979
Erratum to: A tailored finite point method for convection-diffusion-reaction problems. Zbl 1203.65152
Shih, Yintzer; Kellogg, R. Bruce; Tsai, Peishan
1
2010
The pressure singularity for compressible Stokes flows in a concave polygon. Zbl 1162.76379
Kweon, Jae Ryong; Kellogg, R. Bruce
1
2009
Numerical analysis of the neutron transport equation. Zbl 0337.65062
Kellogg, R. B.
1
1976
Scaled iterations and linear equations. Zbl 0102.11301
Kellogg, R. Bruce; Noderer, L. C.
1
1961
Alternating direction iteration methods for n space variables. Zbl 0114.32202
Douglas, Jim jun.; Kellogg, R. B.; Varga, R. S.
1
1963
On the spectrum of an operator associated with the neutron transport equation. Zbl 0172.20103
Kellogg, R. B.
1
1969
Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities. Zbl 1244.65173
Franz, Sebastian; Kellogg, R. Bruce; Stynes, Martin
9
2012
Characteristic tailored finite point method for convection-dominated convection-diffusion-reaction problems. Zbl 1217.65211
Shih, Yintzer; Kellogg, R. Bruce; Chang, Yoyo
3
2011
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain. Zbl 1184.35022
Kellogg, R. Bruce; Kopteva, Natalia
8
2010
A tailored finite point method for convection-diffusion-reaction problems. Zbl 1203.65151
Shih, Yintzer; Kellogg, R. Bruce; Tsai, Peishan
5
2010
An enriched subspace finite element method for convection-diffusion problems. Zbl 1200.65071
Kellogg, R. Bruce; Xenophontos, Christos
3
2010
Erratum to: A tailored finite point method for convection-diffusion-reaction problems. Zbl 1203.65152
Shih, Yintzer; Kellogg, R. Bruce; Tsai, Peishan
1
2010
Regularity and derivative bounds for a convection-diffusion problem with a Neumann outflow condition. Zbl 1181.35054
Naughton, Aidan; Kellogg, R. Bruce; Stynes, Martin
4
2009
The pressure singularity for compressible Stokes flows in a concave polygon. Zbl 1162.76379
Kweon, Jae Ryong; Kellogg, R. Bruce
1
2009
A tailored finite point method for a singular perturbation problem on an unbounded domain. Zbl 1203.65221
Han, Houde; Huang, Zhongyi; Kellogg, R. Bruce
26
2008
A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions. Zbl 1198.65209
Kellogg, R. Bruce; Linss, Torsten; Stynes, Martin
17
2008
A parameter-robust numerical method for a system of reaction-diffusion equations in two dimensions. Zbl 1133.65088
Kellogg, R. B.; Madden, Niall; Stynes, Martin
13
2008
Layers and corner singularities in singularly perturbed elliptic problems. Zbl 1148.65089
Kellogg, R. Bruce; Stynes, Martin
6
2008
Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem. Zbl 1201.35094
Kellogg, R. Bruce; Stynes, Martin
27
2007
Some simple boundary value problems with corner singularities and boundary layers. Zbl 1136.35344
Kellogg, B.
3
2006
A singularly perturbed convection-diffusion problem in a half-plane. Zbl 1156.35349
Kellogg, R. Bruce; Stynes, Martin
3
2006
Singularities in the density gradient. Zbl 1101.76049
Kweon, Jae Ryong; Kellogg, R. Bruce
2
2006
Corner singularities and boundary layers in a simple convection-diffusion problem. Zbl 1159.35309
Kellogg, R. Bruce; Stynes, Martin
46
2005
Regularity of solutions to the Navier-Stokes system for compressible flows on a polygon. Zbl 1064.35137
Kweon, Jae Ryong; Kellogg, R. Bruce
15
2004
Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon. Zbl 1002.35095
Kweon, Jae Ryong; Kellogg, R. Bruce
19
2002
Corner singularities and singular perturbations. Zbl 1119.35318
Kellogg, R. Bruce
11
2001
Compressible Stokes problem on nonconvex polygonal domains. Zbl 0993.35073
Kweon, Jae Ryong; Kellogg, R. Bruce
9
2001
\(n\)-widths and singularly perturbed boundary value problems. II. Zbl 1097.35013
Kellogg, R. Bruce; Stynes, Martin
2
2001
The analysis of a finite element method for the Navier-Stokes equations with compressibility. Zbl 0961.76043
Kellogg, Bruce; Liu, Biyue
2
2000
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. Zbl 0962.65082
Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce
9
1999
n-widths and singularly perturbed boundary value problems. Zbl 0974.41018
Kellogg, R. Bruce; Stynes, Martin
5
1999
Smooth solution of the compressible Navier-Stokes equations in an unbounded domain with inflow boundary condition. Zbl 0910.35093
Kweon, Jae Ryong; Kellogg, R. Bruce
12
1998
Compressible Navier-Stokes equations in a bounded domain with inflow boundary condition. Zbl 0866.35092
Kweon, Jae Ryong; Kellogg, R. Bruce
26
1997
Optimal approximability of solutions of singularly perturbed two-point boundary value problems. Zbl 0884.41017
Kellogg, R. Bruce; Stynes, Martin
6
1997
A penalized finite element method for a compressible Stokes system. Zbl 0882.76039
Kellogg, R. Bruce; Liu, Biyue
2
1997
A finite element method for the compressible Stokes equations. Zbl 0852.76044
Kellogg, R. Bruce; Liu, Biyue
11
1996
Boundary layers and corner singularities for a self-adjoint problem. Zbl 0824.35006
Kellogg, Bruce
10
1995
On homeomorphisms for an elliptic equation in domains with corners. Zbl 0829.35026
Aziz, A. K.; Kellogg, R. B.
5
1995
Discontinuous solutions of linearized, steady state, viscous, compressible flows. Zbl 0796.76073
Liu, Biyue; Kellogg, R. Bruce
4
1993
Analysis of flow directed iterations. Zbl 0743.76075
Han, Houde; Il’in, V. P.; Kellogg, R. B.; Wei, Yuan
5
1992
An interior discontinuity of a nonlinear elliptic-hyperbolic system. Zbl 0735.76054
Chen, Senhuei E.; Kellogg, R. Bruce
6
1991
Spectral bounds and iterative methods in convection dominated flow. Zbl 0771.65067
Kellogg, R. B.
2
1991
Differentiability properties of solutions of the equation \(-\epsilon ^ 2\Delta u+ru=f(x,y)\) in a square. Zbl 0732.35020
Han, H.; Kellogg, R. B.
77
1990
Iterative methods for a forward-backward heat equation. Zbl 0708.65082
Vanaja, V.; Kellogg, R. B.
12
1990
A two-point boundary value problem with a rapidly oscillating solution. Zbl 0645.65041
Aziz, A. K.; Kellogg, R. B.; Stephens, A. B.
15
1988
Discontinuous solutions of the linearized, steady state, compressible, viscous, Navier-Stokes equations. Zbl 0651.76028
Kellogg, R. Bruce
9
1988
Flow directed iterations for convection dominated flow. Zbl 0678.76085
Han, H.; Il’in, V. P.; Kellogg, R. B.
2
1988
Asymptotic analysis of a singular perturbation problem. Zbl 0642.35006
Shih, Shagi-Di; Kellogg, R. Bruce
49
1987
Some singular perturbation problems in renal models. Zbl 0676.76104
Kellogg, R. B.
7
1987
Least squares methods for elliptic systems. Zbl 0609.35034
Aziz, A. K.; Kellogg, R. B.; Stephens, A. B.
35
1985
A priori estimates and analysis of a numerical method for a turning point problem. Zbl 0542.34050
Berger, Alan E.; Han, Houde; Kellogg, R. Bruce
38
1984
Mathematical analysis of a model for the renal concentrating mechanism. Zbl 0521.92007
Garner, J. B.; Kellogg, R. B.; Stephenson, J. L.
9
1983
Numerical analysis of singular perturbation problems. Zbl 0515.65067
Kellogg, R. B.; Han, Houde
1
1983
A new approximation method for the Helmholtz equation in an exterior domain. Zbl 0494.65067
Aziz, A. K.; Dorr, M. R.; Kellogg, R. B.
11
1982
A method of enriched subspaces for the numerical solution of a parabolic singular perturbation problem. Zbl 0511.65083
Han, Houde; Kellogg, R. B.
3
1982
Diffusion and convection in a family of tubes. Zbl 0544.76107
Garner, J. B.; Kellogg, R. B.
3
1982
On the behavior of the exact solution and the error in a numerical solution of a turning point problem. Zbl 0511.65063
Berger, Alan E.; Han, Houde; Kellogg, R. Bruce
1
1982
Finite element analysis of a scattering problem. Zbl 0572.65105
Aziz, A. K.; Kellogg, R. Bruce
12
1981
The diffusion-convection equation with pressure. Zbl 0493.76128
Garner, J. B.; Kellogg, R. B.
1
1981
Uniqueness and the cell Reynolds number. Zbl 0463.76069
Kellogg, R. B.; Shubin, G. R.; Stephens, A. B.
6
1980
A one tube flow problem arising in physiology. Zbl 0428.92012
Garner, J. B.; Kellogg, R. B.
5
1980
Analysis of a difference approximation for a singular perturbation problem in two dimensions. Zbl 0439.65081
Kellogg, R. B.
3
1980
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
114
1979
Complex eigenvalues of a non-negative matrix with a specified graph. II. Zbl 0407.15010
Johnson, Charles R.; Kellogg, R. B.; Stephens, A. B.
6
1979
Erratum to: “Complex eigenvalues of a non-negative matrix with a specified graph. II”. Zbl 0439.15004
Johnson, Charles R.; Kellogg, R. B.; Stephens, A. B.
1
1979
Analysis of some difference approximations for a singular perturbation problem without turning points. Zbl 0418.65040
Kellogg, R. Bruce; Tsan, Alice
174
1978
On a differential equation arising from compartmental analysis. Zbl 0375.34028
Aronsson, G.; Kellogg, R. B.
23
1978
Complex eigenvalues of a non-negative matrix with a specified graph. Zbl 0387.15008
Kellogg, R. B.; Stephens, A. B.
9
1978
Uniqueness in the Schauder fixed point theorem. Zbl 0352.47025
Kellogg, R. B.
19
1977
Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain. Zbl 0367.65062
Walden, H.; Kellogg, R. B.
9
1977
Asymptotic behavior of the solution of the integral transport equation in slab geometry. Zbl 0351.45001
Kaper, Hans G.; Kellogg, R. Bruce
7
1977
Comparison of numerical methods for renal network flows. Zbl 0364.65063
Mejia, R.; Kellogg, R. B.; Stephenson, J. L.
6
1977
A method of continuation for calculating a Brouwer fixed point. Zbl 0426.90094
Kellogg, R. B.; Li, T. Y.; Yorke, J.
4
1977
Continuity and differentiability properties of the solution of the linear transport equation. Zbl 0351.45002
Kaper, Hans G.; Kellogg, R. Bruce
2
1977
An inequality for doubly stochastic matrices. Zbl 0356.15018
Johnson, Charles R.; Kellogg, R. Bruce
1
1977
A regularity result for the Stokes problem in a convex polygon. Zbl 0317.35037
Kellogg, R. B.; Osborn, J. E.
137
1976
A constructive proof of the Brouwer fixed-point theorem and computational results. Zbl 0355.65037
Kellogg, R. B.; Li, T. Y.; Yorke, J.
68
1976
Numerical analysis of the neutron transport equation. Zbl 0337.65062
Kellogg, R. B.
1
1976
Nonuniform error estimates for the finite element method. Zbl 0339.65062
Babuška, Ivo; Kellogg, R. B.
6
1975
On the Poisson equation with intersecting interfaces. Zbl 0307.35038
Kellogg, R. Bruce
72
1974
Higher order singularities for interface problems. Zbl 0262.35013
Kellogg, R. B.
14
1972
Matrices similar to a positive or essentially positive matrix. Zbl 0215.37504
Kellogg, R. B.
47
1971
Singularities in interface problems. Zbl 0312.35009
Kellogg, R. B.
20
1971
A nonlinear alternating direction method. Zbl 0185.39902
Kellogg, R. B.
12
1969
On the spectrum of an operator associated with the neutron transport equation. Zbl 0172.20103
Kellogg, R. B.
1
1969
Estimating optimum overrelaxation parameters. Zbl 0165.50301
Hageman, L. A.; Kellogg, R. B.
7
1968
On the rate of convergence of some difference schemes for second order elliptic equations. Zbl 0172.20004
Bramble, J. H.; Kellogg, R. B.; Thomee, V.
5
1968
A numerical solution for axially symmetrical and plane elasticity problems. Zbl 0152.42801
Griffin, D. S.; Kellogg, R. B.
5
1967
An error estimate for elliptic difference equations on a convex polygon. Zbl 0143.17602
Kellogg, R. B.
6
1966
Solution of equilibrium equations in thermal networks. Zbl 0183.44803
Birkhoff, Garrett; Kellogg, Bruce
2
1966
On optimal alternating direction parameters for singluar matrices. Zbl 0208.18203
Kellogg, R. B.; Spanier, J.
6
1965
An alternating direction method for operator equations. Zbl 0125.35601
Kellogg, R. B.
31
1964
Another alternating-direction-implicit method. Zbl 0214.14703
Kellogg, R. B.
10
1964
Difference equations on a mesh arising from a general triangulation. Zbl 0119.12403
Kellogg, R. B.
8
1964
Alternating direction iteration methods for n space variables. Zbl 0114.32202
Douglas, Jim jun.; Kellogg, R. B.; Varga, R. S.
1
1963
Scaled iterations and linear equations. Zbl 0102.11301
Kellogg, R. Bruce; Noderer, L. C.
1
1961
all top 5

Cited by 1,242 Authors

30 Kellogg, Bruce
28 Kweon, Jae Ryong
24 Kadalbajoo, Mohan K.
22 Jung, Changyeol
22 Stynes, Martin
21 He, Yinnian
19 Natesan, Srinivasan
18 Roos, Hans-Görg
17 Temam, Roger Meyer
16 Clavero, Carmelo
15 O’Riordan, Eugene
15 Schwab, Christoph
14 Soto, Ricardo Lorenzo
12 Babuška, Ivo
12 Franz, Sebastian
12 Linß, Torsten
12 Patidar, Kailash C.
12 Vulanović, Relja
11 Han, Houde
11 Huang, Zhongyi
11 Li, Hengguang
11 Liu, Xiaowei
11 Zhang, Jin
10 Cai, Zhiqiang
10 Cen, Zhongdi
10 Johnson, Charles Royal
9 Brenner, Susanne Cecelia
9 Jorge, Juan Carlos
9 Li, Jichun
9 Nistor, Victor
8 Bramble, James H.
8 Feng, Xinlong
8 Gosse, Laurent
8 Gracia, José Luis
8 Gupta, Vikas
8 Nochetto, Ricardo Horacio
8 Stephan, Ernst Peter
8 Su, Menglong
8 Yu, Bo
7 Andreev, Vladimir B.
7 Borobia, Alberto
7 Huang, Pengzhan
7 Ramesh, V. P.
7 Yang, Yidu
7 Zhang, Shun
7 Zhu, Zhichuan
6 Apel, Thomas
6 Choi, Hyung Jun
6 Evans, David John
6 Guo, Benqi
6 Hong, Youngjoon
6 Le, Anbo
6 Lin, Pengcheng
6 Lisbona Cortés, Francisco Javier
6 Liu, Jinn-Liang
6 Marijuán, Carlos
6 Mu, Lin
6 Pisonero, Miriam
6 Xenophontos, Christos A.
6 Yang, Suh-Yuh
5 Bacuta, Constantin
5 Fan, Xiaona
5 Garner, Jackie B.
5 Gie, Gung-Min
5 Hamouda, Makram
5 Kumar, Sunil
5 Li, Yong
5 Lin, Zhenghua
5 Moro, Julio
5 Mukherjee, Kaushik
5 Ovall, Jeffrey S.
5 Pasciak, Joseph E.
5 Piasecki, Tomasz
5 Rai, Pratima
5 Rojo, Oscar L.
5 Sharma, Kapil Kumar
5 Suri, Manil
5 Teofanov, Ljiljana
5 Thomée, Vidar
5 Wang, Junping
5 Wang, Wenqia
5 Xu, Aimin
5 Zadorin, Aleksandr Ivanovich
4 Bacaër, Nicolas
4 Bi, Hai
4 Buffa, Annalisa
4 Chang, Ching Lung
4 Chen, Long
4 Ciarlet, Philippe Gaston
4 Costabel, Martin
4 Dauge, Monique
4 Eason, George
4 Hessari, Peyman
4 Kaushik, Aditya
4 Kim, Seokchan
4 Kopteva, Natalia Viktorovna
4 Langer, Ulrich
4 Layton, William J.
4 Lazarov, Raytcho D.
4 Lube, Gert
...and 1,142 more Authors
all top 5

Cited in 193 Serials

85 Journal of Computational and Applied Mathematics
70 Applied Mathematics and Computation
60 Computer Methods in Applied Mechanics and Engineering
58 Mathematics of Computation
54 Numerische Mathematik
50 Computers & Mathematics with Applications
46 Applied Numerical Mathematics
35 Linear Algebra and its Applications
34 Journal of Scientific Computing
29 Journal of Mathematical Analysis and Applications
24 Journal of Differential Equations
24 Numerical Methods for Partial Differential Equations
21 Applied Mathematics and Mechanics. (English Edition)
18 Journal of Computational Physics
17 Mathematical Biosciences
15 Computing
14 Numerical Algorithms
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 SIAM Journal on Numerical Analysis
11 Linear and Multilinear Algebra
11 Mathematical Methods in the Applied Sciences
10 Applied Mathematics Letters
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 BIT
8 Applied Mathematical Modelling
8 Discrete and Continuous Dynamical Systems. Series B
7 Archive for Rational Mechanics and Analysis
7 Numerical Functional Analysis and Optimization
7 Computational Mathematics and Mathematical Physics
7 International Journal of Computer Mathematics
7 SIAM Journal on Scientific Computing
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 International Journal of Applied and Computational Mathematics
6 Journal of Mathematical Biology
6 Calcolo
6 International Journal for Numerical Methods in Engineering
6 Journal of Optimization Theory and Applications
6 Mathematical and Computer Modelling
6 Advances in Computational Mathematics
6 Mathematical Problems in Engineering
6 Abstract and Applied Analysis
5 Applicable Analysis
5 Bulletin of Mathematical Biology
5 Integral Equations and Operator Theory
5 Mathematics and Computers in Simulation
5 Mathematical Programming
5 RAIRO. Modélisation Mathématique et Analyse Numérique
5 Japan Journal of Industrial and Applied Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Computational Optimization and Applications
5 Communications in Numerical Methods in Engineering
5 Differential Equations and Dynamical Systems
5 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Numerical Mathematics
5 Journal of Applied Mathematics and Computing
5 Nonlinear Analysis. Theory, Methods & Applications
4 Computers and Fluids
4 Proceedings of the American Mathematical Society
4 RAIRO. Analyse Numérique
4 Computational Mathematics and Modeling
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Journal of Mathematical Fluid Mechanics
4 Computational Methods in Applied Mathematics
4 Analysis and Applications (Singapore)
4 Advances in Difference Equations
4 Journal of Applied Mathematics & Informatics
3 Automatica
3 Mathematische Nachrichten
3 Moscow University Computational Mathematics and Cybernetics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Physica D
3 Optimization
3 Applications of Mathematics
3 SIAM Journal on Mathematical Analysis
3 Applied Mathematics. Series B (English Edition)
3 Computational and Applied Mathematics
3 Journal of Difference Equations and Applications
3 Journal of Inequalities and Applications
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Differential Equations
3 Journal of Applied Mathematics
3 International Journal of Differential Equations
3 ISRN Applied Mathematics
2 Bulletin of the Australian Mathematical Society
2 International Journal for Numerical Methods in Fluids
2 Journal of Engineering Mathematics
2 Journal of Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Functional Analysis
2 Journal of Mathematical Economics
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Siberian Mathematical Journal
2 Acta Applicandae Mathematicae
2 Computational Mechanics
2 Asymptotic Analysis
2 Journal of Integral Equations and Applications
2 Communications in Partial Differential Equations
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Calculus of Variations and Partial Differential Equations
...and 93 more Serials
all top 5

Cited in 40 Fields

814 Numerical analysis (65-XX)
543 Partial differential equations (35-XX)
237 Fluid mechanics (76-XX)
147 Ordinary differential equations (34-XX)
66 Linear and multilinear algebra; matrix theory (15-XX)
52 Biology and other natural sciences (92-XX)
50 Mechanics of deformable solids (74-XX)
47 Operations research, mathematical programming (90-XX)
30 Operator theory (47-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Optics, electromagnetic theory (78-XX)
16 Functional analysis (46-XX)
14 General topology (54-XX)
13 Approximations and expansions (41-XX)
13 Integral equations (45-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Probability theory and stochastic processes (60-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Combinatorics (05-XX)
7 Computer science (68-XX)
7 Systems theory; control (93-XX)
6 Geophysics (86-XX)
5 Potential theory (31-XX)
5 Algebraic topology (55-XX)
4 Functions of a complex variable (30-XX)
3 Real functions (26-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Geometry (51-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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