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Russell, Robert D.

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Author ID: russell.robert-d Recent zbMATH articles by "Russell, Robert D."
Published as: Russell, Robert D.; Russell, R. D.; Russell, Robert; Russell, R.; Russel, Robert D.
Homepage: http://people.math.sfu.ca/~rdr/
External Links: IdRef · MGP · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 89 Publications since 1971, including 5 Books

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 2,023 times in 1,273 Documents Cited by Year
Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle. Zbl 0806.65092
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
131
1994
Numerical solution of boundary value problems for ordinary differential equations. Zbl 0671.65063
Ascher, Uri M.; Mattheij, Robert M. M.; Russell, Robert D.
111
1988
Numerical solution of boundary value problems for ordinary differential equations. Zbl 0843.65054
Ascher, Uri M.; Mattheij, Robert M. M.; Russell, Robert D.
111
1995
Adaptive moving mesh methods. Zbl 1227.65090
Huang, Weizhang; Russell, Robert D.
101
2011
Collocation software for boundary-value ODEs. Zbl 0455.65067
Ascher, U.; Christiansen, J.; Russell, R. D.
93
1981
A collocation method for boundary value problems. Zbl 0221.65129
Russell, R. D.; Shampine, L. F.
85
1972
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
77
1996
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
74
2009
Moving mesh methods based on moving mesh partial differential equations. Zbl 0807.65101
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
74
1994
Numerical methods for singular boundary value problems. Zbl 0271.65051
Russell, R. D.; Shampine, L. F.
73
1975
A collocation solver for mixed order systems of boundary value problems. Zbl 0407.65035
Ascher, U.; Christiansen, J.; Russell, R. D.
69
1979
An \(r\)-adaptive finite element method based upon moving mesh PDEs. Zbl 0923.65062
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
68
1999
Moving mesh strategy based on a gradient flow equation for two-dimensional problems. Zbl 0956.76076
Huang, Weizhang; Russell, Robert D.
63
1999
On the computation of Lyapunov exponents for continuous dynamical systems. Zbl 0891.65090
Dieci, Luca; Russell, Robert D.; Van Vleck, Erik S.
56
1997
A study of monitor functions for two-dimensional adaptive mesh generation. Zbl 0937.65104
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
53
1999
Adaptive mesh selection strategies for solving boundary value problems. Zbl 0384.65038
Russell, R. D.; Christiansen, J.
48
1978
Unitary integrators and applications to continuous orthonormalization techniques. Zbl 0815.65096
Dieci, Luca; Russell, Robert D.; van Vleck, Erik S.
47
1994
A moving mesh method for one-dimensional hyperbolic conservation laws. Zbl 0989.65096
Stockie, John M.; Mackenzie, John A.; Russell, Robert D.
44
2001
Analysis of moving mesh partial differential equations with spatial smoothing. Zbl 0874.65071
Huang, Weizhang; Russell, Robert D.
32
1997
A moving collocation method for solving time dependent partial differential equations. Zbl 0859.65112
Huang, Weizhang; Russell, Robert D.
30
1996
The slow dynamics of two-spike solutions for the Gray-Scott and Gierer-Meinhardt systems: competition and oscillatory instabilities. Zbl 1145.35404
Sun, Wentao; Ward, Michael J.; Russell, Robert
29
2005
Reformulation of boundary value problems into ”standard” form. Zbl 0461.34021
Ascher, U.; Russell, R. D.
28
1981
Precise computations of chemotactic collapse using moving mesh methods. Zbl 1063.65096
Budd, C. J.; Carretero-González, R.; Russell, R. D.
26
2005
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations. Zbl 1145.65080
Huang, Weizhang; Ma, Jingtang; Russell, Robert D.
26
2008
A high dimensional moving mesh strategy. Zbl 0890.65101
Huang, Weizhang; Russell, Robert D.
26
1998
New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations. Zbl 0942.65085
Budd, Chris J.; Chen, Shaohua; Russell, Robert D.
26
1999
A moving mesh method based on the geometric conservation law. Zbl 1016.65066
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
24
2002
COLSYS - a collocation code for boundary-value problems. Zbl 0459.65061
Ascher, U.; Christiansen, J.; Russell, R. D.
20
1979
Self-similar numerical solutions of the porous-medium equation using moving mesh methods. Zbl 0931.76079
Budd, C. J.; Collins, G. J.; Huang, W. Z.; Russell, R. D.
18
1999
A Riccati transformation method for solving linear BVPs. I: Theoretical aspects. Zbl 0664.65074
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
17
1988
On spline basis selection for solving differential equations. Zbl 0525.65060
Ascher, U.; Pruess, S.; Russell, R. D.
16
1983
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates. Zbl 1022.65107
Lang, Jens; Cao, Weiming; Huang, Weizhang; Russell, Robert D.
15
2003
Orthogonal collocation for elliptic partial differential equations. Zbl 0366.65052
Prenter, P. M.; Russell, R. D.
15
1976
Convergence of de Boor’s algorithm for the generation of equidistributing meshes. Zbl 1228.65027
Xu, X.; Huang, W.; Russell, R. D.; Williams, J. F.
15
2011
Numerical calculation of invariant tori. Zbl 0725.65074
Dieci, Luca; Lorenz, Jens; Russell, Robert D.
14
1991
MOVCOL4: A moving mesh code for fourth-order time-dependent partial differential equations. Zbl 1138.65095
Russell, R. D.; Williams, J. F.; Xu, X.
14
2007
Collocation for systems of boundary value problems. Zbl 0279.65070
Russell, R. D.
13
1974
The close relationships between methods for solving two-point boundary value problems. Zbl 0575.65080
Lentini, Marianela; Osborne, Michael R.; Russell, Robert D.
13
1985
A comparison of collocation and finite differences for two-point boundary value problems. Zbl 0359.65075
Russell, Robert D.
13
1977
A Riccati transformation method for solving linear BVPs. II: Computational aspects. Zbl 0664.65075
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
12
1988
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. Zbl 1123.76343
Sun, Pengtao; Russell, Robert D.; Xu, Jinchao
11
2007
Some numerical aspects of computing inertial manifolds. Zbl 0781.65101
Russell, Robert D.; Sloan, David M.; Trummer, Manfred R.
11
1993
Moving mesh methods with applications to blow-up problems for PDEs. Zbl 0843.65065
Budd, C. J.; Chen, Jianping; Huang, W.; Russell, R. D.
11
1996
Computation and continuation of homoclinic and heteroclinic orbits with arclength parametrization. Zbl 0867.34037
Liu, Lixin; Moore, Gerald; Russell, Robert D.
11
1997
Adaptive mesh movements – the MMPDE approach and its applications. Zbl 0971.65088
Huang, Weizhang; Russell, Robert D.
11
2001
Optimal mass transport for higher dimensional adaptive grid generation. Zbl 1218.65065
Sulman, Mohamed; Williams, J. F.; Russell, R. D.
11
2011
Approaches for generating moving adaptive meshes: Location versus velocity. Zbl 1031.65109
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
10
2003
A comparison of global methods for linear two-point boundary value problems. Zbl 0315.65048
Russell, R. D.; Varah, J. M.
10
1975
An efficient approach for the numerical solution of the Monge-Ampère equation. Zbl 1215.65178
Sulman, Mohamed M.; Williams, J. F.; Russell, Robert D.
10
2011
An error indicator monitor function for an \(r\)-adaptive finite-element method. Zbl 0986.65082
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
9
2001
Moving mesh techniques based upon equidistribution, and their stability. Zbl 0764.65055
Ren, Yuhe; Russell, Robert D.
9
1992
A Schwarz waveform moving mesh method. Zbl 1136.65086
Haynes, Ronald D.; Russell, Robert D.
7
2007
Spline collocation differentiation matrices. Zbl 0888.65120
Russell, Robert D.; Sun, Weiwei
7
1997
Computation of invariant tori by orthogonal collocation. Zbl 0962.65105
Edoh, K. D.; Russell, R. D.; Sun, W.
7
2000
Deferred corrections using uncentered end formulas. Zbl 0447.65045
Christiansen, J.; Russell, R. D.
6
1980
The geometry of r-adaptive meshes generated using optimal transport methods. Zbl 1352.65603
Budd, C. J.; Russell, R. D.; Walsh, E.
6
2015
Comparison of two-dimensional \(r\)-adaptive finite element methods using various error indicators. Zbl 0984.65099
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
5
2001
A moving mesh method in multiblock domains with application to a combustion problem. Zbl 0972.80011
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
5
1999
Defect correction for two-point boundary value problems on nonequidistant meshes. Zbl 0828.65102
Butcher, J. C.; Cash, J. R.; Moore, G.; Russell, R. D.
5
1995
Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. Zbl 0863.65072
Sun, Weiwei; Huang, Weizhang; Russell, Robert D.
4
1996
A comparative numerical study of meshing functionals for variational mesh adaptation. Zbl 1349.65421
Huang, Weizhang; Kamenski, Lennard; Russell, Robert D.
4
2015
Error analysis for spline collocation methods with application to knot selection. Zbl 0407.65034
Christiansen, J.; Russell, R. D.
4
1978
Existence of eigenvalues of integral equations. Zbl 0217.43403
Russell, R. D.; Shampine, L. F.
3
1971
Variational mesh adaptation methods for axisymmetrical problems. Zbl 1041.65096
Cao, Weiming; Carretero-González, Ricardo; Huang, Weizhang; Russell, Robert D.
3
2003
Analysis of a moving collocation method for one-dimensional partial differential equations. Zbl 1245.65138
Ma, Jingtang; Huang, Weizhang; Russell, Robert D.
3
2012
The Riccati transformation in the solution of boundary value problems. Zbl 0619.65069
Osborne, M. R.; Russell, R. D.
3
1986
Numerical solution of eigenvalue problems for linear boundary value ODEs. Zbl 0726.65101
Bramley, S.; Dieci, L.; Russell, R. D.
2
1991
On the structure of Jacobians for spectral methods for nonlinear partial differential equations. Zbl 0746.65095
Russell, Robert D.; Sloan, David M.; Trummer, Manfred R.
2
1992
Riccati and other methods for singularly perturbed BVP. Zbl 0672.65072
Dieci, Luca; Russell, Robert D.
2
1986
Linear system solvers for boundary value ODEs. Zbl 0780.65047
Liu, Lixin; Russell, Robert D.
2
1993
Conditioning of collocation matrices and discrete Green’s functions. Zbl 0631.65077
Paine, John; Russell, Robert D.
2
1986
Numerical boundary value ODEs. Proceedings of an International Workshop, Vancouver, Canada, July 10-13, 1984. Zbl 0549.00025
Ascher, U. M. (ed.); Russell, R. D. (ed.)
2
1985
Volumetric image registration methods based on solving the Monge-Ampère equation. Zbl 1245.49061
Sulman, M.; Williams, J. F.; Beg, M. F.; Russell, R. D.
2
2009
A moving mesh method for time-dependent problems based on Schwarz waveform relaxation. Zbl 1139.65314
Haynes, Ronald D.; Huang, Weizhang; Russell, Robert D.
1
2008
Mesh selection for a nearly singular boundary value problem. Zbl 0998.65079
Budd, Chris J.; Huang, Huaxiong; Russell, Robert D.
1
2001
A hybrid Gröbner bases approach to computing power integral bases. Zbl 1374.11085
Robertson, L.; Russell, R.
1
2015
The geometry of r-adaptive meshes generated using optimal transport methods. Zbl 1352.65603
Budd, C. J.; Russell, R. D.; Walsh, E.
6
2015
A comparative numerical study of meshing functionals for variational mesh adaptation. Zbl 1349.65421
Huang, Weizhang; Kamenski, Lennard; Russell, Robert D.
4
2015
A hybrid Gröbner bases approach to computing power integral bases. Zbl 1374.11085
Robertson, L.; Russell, R.
1
2015
Analysis of a moving collocation method for one-dimensional partial differential equations. Zbl 1245.65138
Ma, Jingtang; Huang, Weizhang; Russell, Robert D.
3
2012
Adaptive moving mesh methods. Zbl 1227.65090
Huang, Weizhang; Russell, Robert D.
101
2011
Convergence of de Boor’s algorithm for the generation of equidistributing meshes. Zbl 1228.65027
Xu, X.; Huang, W.; Russell, R. D.; Williams, J. F.
15
2011
Optimal mass transport for higher dimensional adaptive grid generation. Zbl 1218.65065
Sulman, Mohamed; Williams, J. F.; Russell, R. D.
11
2011
An efficient approach for the numerical solution of the Monge-Ampère equation. Zbl 1215.65178
Sulman, Mohamed M.; Williams, J. F.; Russell, Robert D.
10
2011
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
74
2009
Volumetric image registration methods based on solving the Monge-Ampère equation. Zbl 1245.49061
Sulman, M.; Williams, J. F.; Beg, M. F.; Russell, R. D.
2
2009
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations. Zbl 1145.65080
Huang, Weizhang; Ma, Jingtang; Russell, Robert D.
26
2008
A moving mesh method for time-dependent problems based on Schwarz waveform relaxation. Zbl 1139.65314
Haynes, Ronald D.; Huang, Weizhang; Russell, Robert D.
1
2008
MOVCOL4: A moving mesh code for fourth-order time-dependent partial differential equations. Zbl 1138.65095
Russell, R. D.; Williams, J. F.; Xu, X.
14
2007
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. Zbl 1123.76343
Sun, Pengtao; Russell, Robert D.; Xu, Jinchao
11
2007
A Schwarz waveform moving mesh method. Zbl 1136.65086
Haynes, Ronald D.; Russell, Robert D.
7
2007
The slow dynamics of two-spike solutions for the Gray-Scott and Gierer-Meinhardt systems: competition and oscillatory instabilities. Zbl 1145.35404
Sun, Wentao; Ward, Michael J.; Russell, Robert
29
2005
Precise computations of chemotactic collapse using moving mesh methods. Zbl 1063.65096
Budd, C. J.; Carretero-González, R.; Russell, R. D.
26
2005
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates. Zbl 1022.65107
Lang, Jens; Cao, Weiming; Huang, Weizhang; Russell, Robert D.
15
2003
Approaches for generating moving adaptive meshes: Location versus velocity. Zbl 1031.65109
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
10
2003
Variational mesh adaptation methods for axisymmetrical problems. Zbl 1041.65096
Cao, Weiming; Carretero-González, Ricardo; Huang, Weizhang; Russell, Robert D.
3
2003
A moving mesh method based on the geometric conservation law. Zbl 1016.65066
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
24
2002
A moving mesh method for one-dimensional hyperbolic conservation laws. Zbl 0989.65096
Stockie, John M.; Mackenzie, John A.; Russell, Robert D.
44
2001
Adaptive mesh movements – the MMPDE approach and its applications. Zbl 0971.65088
Huang, Weizhang; Russell, Robert D.
11
2001
An error indicator monitor function for an \(r\)-adaptive finite-element method. Zbl 0986.65082
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
9
2001
Comparison of two-dimensional \(r\)-adaptive finite element methods using various error indicators. Zbl 0984.65099
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
5
2001
Mesh selection for a nearly singular boundary value problem. Zbl 0998.65079
Budd, Chris J.; Huang, Huaxiong; Russell, Robert D.
1
2001
Computation of invariant tori by orthogonal collocation. Zbl 0962.65105
Edoh, K. D.; Russell, R. D.; Sun, W.
7
2000
An \(r\)-adaptive finite element method based upon moving mesh PDEs. Zbl 0923.65062
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
68
1999
Moving mesh strategy based on a gradient flow equation for two-dimensional problems. Zbl 0956.76076
Huang, Weizhang; Russell, Robert D.
63
1999
A study of monitor functions for two-dimensional adaptive mesh generation. Zbl 0937.65104
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
53
1999
New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations. Zbl 0942.65085
Budd, Chris J.; Chen, Shaohua; Russell, Robert D.
26
1999
Self-similar numerical solutions of the porous-medium equation using moving mesh methods. Zbl 0931.76079
Budd, C. J.; Collins, G. J.; Huang, W. Z.; Russell, R. D.
18
1999
A moving mesh method in multiblock domains with application to a combustion problem. Zbl 0972.80011
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
5
1999
A high dimensional moving mesh strategy. Zbl 0890.65101
Huang, Weizhang; Russell, Robert D.
26
1998
On the computation of Lyapunov exponents for continuous dynamical systems. Zbl 0891.65090
Dieci, Luca; Russell, Robert D.; Van Vleck, Erik S.
56
1997
Analysis of moving mesh partial differential equations with spatial smoothing. Zbl 0874.65071
Huang, Weizhang; Russell, Robert D.
32
1997
Computation and continuation of homoclinic and heteroclinic orbits with arclength parametrization. Zbl 0867.34037
Liu, Lixin; Moore, Gerald; Russell, Robert D.
11
1997
Spline collocation differentiation matrices. Zbl 0888.65120
Russell, Robert D.; Sun, Weiwei
7
1997
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
77
1996
A moving collocation method for solving time dependent partial differential equations. Zbl 0859.65112
Huang, Weizhang; Russell, Robert D.
30
1996
Moving mesh methods with applications to blow-up problems for PDEs. Zbl 0843.65065
Budd, C. J.; Chen, Jianping; Huang, W.; Russell, R. D.
11
1996
Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. Zbl 0863.65072
Sun, Weiwei; Huang, Weizhang; Russell, Robert D.
4
1996
Numerical solution of boundary value problems for ordinary differential equations. Zbl 0843.65054
Ascher, Uri M.; Mattheij, Robert M. M.; Russell, Robert D.
111
1995
Defect correction for two-point boundary value problems on nonequidistant meshes. Zbl 0828.65102
Butcher, J. C.; Cash, J. R.; Moore, G.; Russell, R. D.
5
1995
Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle. Zbl 0806.65092
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
131
1994
Moving mesh methods based on moving mesh partial differential equations. Zbl 0807.65101
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
74
1994
Unitary integrators and applications to continuous orthonormalization techniques. Zbl 0815.65096
Dieci, Luca; Russell, Robert D.; van Vleck, Erik S.
47
1994
Some numerical aspects of computing inertial manifolds. Zbl 0781.65101
Russell, Robert D.; Sloan, David M.; Trummer, Manfred R.
11
1993
Linear system solvers for boundary value ODEs. Zbl 0780.65047
Liu, Lixin; Russell, Robert D.
2
1993
Moving mesh techniques based upon equidistribution, and their stability. Zbl 0764.65055
Ren, Yuhe; Russell, Robert D.
9
1992
On the structure of Jacobians for spectral methods for nonlinear partial differential equations. Zbl 0746.65095
Russell, Robert D.; Sloan, David M.; Trummer, Manfred R.
2
1992
Numerical calculation of invariant tori. Zbl 0725.65074
Dieci, Luca; Lorenz, Jens; Russell, Robert D.
14
1991
Numerical solution of eigenvalue problems for linear boundary value ODEs. Zbl 0726.65101
Bramley, S.; Dieci, L.; Russell, R. D.
2
1991
Numerical solution of boundary value problems for ordinary differential equations. Zbl 0671.65063
Ascher, Uri M.; Mattheij, Robert M. M.; Russell, Robert D.
111
1988
A Riccati transformation method for solving linear BVPs. I: Theoretical aspects. Zbl 0664.65074
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
17
1988
A Riccati transformation method for solving linear BVPs. II: Computational aspects. Zbl 0664.65075
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
12
1988
The Riccati transformation in the solution of boundary value problems. Zbl 0619.65069
Osborne, M. R.; Russell, R. D.
3
1986
Riccati and other methods for singularly perturbed BVP. Zbl 0672.65072
Dieci, Luca; Russell, Robert D.
2
1986
Conditioning of collocation matrices and discrete Green’s functions. Zbl 0631.65077
Paine, John; Russell, Robert D.
2
1986
The close relationships between methods for solving two-point boundary value problems. Zbl 0575.65080
Lentini, Marianela; Osborne, Michael R.; Russell, Robert D.
13
1985
Numerical boundary value ODEs. Proceedings of an International Workshop, Vancouver, Canada, July 10-13, 1984. Zbl 0549.00025
Ascher, U. M.; Russell, R. D.
2
1985
On spline basis selection for solving differential equations. Zbl 0525.65060
Ascher, U.; Pruess, S.; Russell, R. D.
16
1983
Collocation software for boundary-value ODEs. Zbl 0455.65067
Ascher, U.; Christiansen, J.; Russell, R. D.
93
1981
Reformulation of boundary value problems into ”standard” form. Zbl 0461.34021
Ascher, U.; Russell, R. D.
28
1981
Deferred corrections using uncentered end formulas. Zbl 0447.65045
Christiansen, J.; Russell, R. D.
6
1980
A collocation solver for mixed order systems of boundary value problems. Zbl 0407.65035
Ascher, U.; Christiansen, J.; Russell, R. D.
69
1979
COLSYS - a collocation code for boundary-value problems. Zbl 0459.65061
Ascher, U.; Christiansen, J.; Russell, R. D.
20
1979
Adaptive mesh selection strategies for solving boundary value problems. Zbl 0384.65038
Russell, R. D.; Christiansen, J.
48
1978
Error analysis for spline collocation methods with application to knot selection. Zbl 0407.65034
Christiansen, J.; Russell, R. D.
4
1978
A comparison of collocation and finite differences for two-point boundary value problems. Zbl 0359.65075
Russell, Robert D.
13
1977
Orthogonal collocation for elliptic partial differential equations. Zbl 0366.65052
Prenter, P. M.; Russell, R. D.
15
1976
Numerical methods for singular boundary value problems. Zbl 0271.65051
Russell, R. D.; Shampine, L. F.
73
1975
A comparison of global methods for linear two-point boundary value problems. Zbl 0315.65048
Russell, R. D.; Varah, J. M.
10
1975
Collocation for systems of boundary value problems. Zbl 0279.65070
Russell, R. D.
13
1974
A collocation method for boundary value problems. Zbl 0221.65129
Russell, R. D.; Shampine, L. F.
85
1972
Existence of eigenvalues of integral equations. Zbl 0217.43403
Russell, R. D.; Shampine, L. F.
3
1971
all top 5

Cited by 1,788 Authors

35 Huang, Weizhang
22 Russell, Robert D.
21 Budd, Christopher John
17 Weinmüller, Ewa B.
14 Cash, Jeff R.
14 Ward, Michael J.
13 Mackenzie, John A.
13 Tang, Tao
12 Ascher, Uri M.
11 Van Vleck, Erik S.
10 Ma, Jingtang
10 Verma, Amit Kumar
9 Agarwal, Ravi P.
9 Koch, Othmar
9 Zegeling, Paul Andries
8 Cao, Weiming
8 Das, Pratibhamoy
8 Dieci, Luca
8 Doedel, Eusebius J.
8 Haynes, Ronald D.
8 Lopez, Luciano
8 Mattheij, Robert M. M.
8 Qiu, Jianxian
8 Soheili, Ali Reza
8 Tang, Huazhong
7 Feichtinger, Gustav
7 Kadalbajoo, Mohan K.
7 Muir, Paul H.
7 Wei, Juncheng
6 Doelman, Arjen
6 Fairweather, Graeme
6 Groisman, Pablo
6 Mehrmann, Volker
6 Politi, Tiziano
6 Ramage, Alison
6 Rossi, Julio Daniel
6 Sheng, Qin
6 Sloan, David M.
6 Smooke, Mitchell D.
5 Beckett, G.
5 Blanes, Sergio
5 Brihaye, Yves
5 Chen, Long
5 Hubbard, Matthew E.
5 Jiang, Song
5 Kamenski, Lennard
5 Kolokolnikov, Theodore
5 Li, Ruo
5 Liang, Kewei
5 Mazzia, Francesca
5 Petzold, Linda Ruth
5 Ponsoda, Enrique
5 Rashidinia, Jalil
5 Ricchiuto, Mario
5 Roul, Pradip
5 Singh, Mandeep
5 Sun, Weiwei
5 Trigiante, Donato
5 Zamani, Nader G.
5 Zanna, Antonella
5 Zhang, Pingwen
4 Amodio, Pierluigi
4 Arqub, Omar Abu
4 Auzinger, Winfried
4 Aziz, Tariq
4 Chawla, Man M.
4 Danumjaya, Palla
4 Dehghan Takht Fooladi, Mehdi
4 Fazio, Riccardo
4 Gao, Qinjiao
4 Govaerts, Willy J. F.
4 Hartmann, Betti
4 Houstis, Elias N.
4 Hu, Guanghui
4 Jiang, Yingjun
4 Jimack, Peter K.
4 Junge, Oliver
4 Khuri, Suheil A.
4 Lima, Pedro Miguel
4 Lindsay, Alan E.
4 Lu, Changna
4 Matthes, Daniel
4 Momoniat, Ebrahim
4 Moore, Gerald
4 Natesan, Srinivasan
4 Novak, Andreas J.
4 Ojika, Takeo
4 Pao, Chia-Ven
4 Radu, Eugen
4 Reddien, George W. jun.
4 Shanazari, Kamal
4 Smolarkiewicz, Piotr K.
4 Tan, Zhijun
4 Wang, Rong
4 Xu, Jinchao
4 Zhang, Shenggang
4 Zhang, Zhengru
3 Abia, Luis M.
3 Beauregard, Matthew A.
3 Bhal, Santosh Kumar
...and 1,688 more Authors
all top 5

Cited in 228 Serials

129 Journal of Computational Physics
116 Journal of Computational and Applied Mathematics
86 Applied Mathematics and Computation
68 Applied Numerical Mathematics
44 Computers & Mathematics with Applications
33 Numerische Mathematik
31 Mathematics of Computation
29 Journal of Scientific Computing
29 International Journal of Computer Mathematics
26 Numerical Algorithms
25 Physica D
19 Computers and Fluids
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 BIT
18 Computing
16 Numerical Methods for Partial Differential Equations
15 Computer Methods in Applied Mechanics and Engineering
15 Journal of Mathematical Analysis and Applications
15 SIAM Journal on Scientific Computing
12 Mathematical and Computer Modelling
12 Mathematical Problems in Engineering
11 Journal of Optimization Theory and Applications
10 Mathematics and Computers in Simulation
9 Journal of Mathematical Biology
9 International Journal for Numerical Methods in Engineering
9 Applied Mathematics Letters
9 Engineering Analysis with Boundary Elements
9 SIAM Journal on Applied Dynamical Systems
8 Applied Mathematical Modelling
8 Linear Algebra and its Applications
8 Advances in Computational Mathematics
7 Journal of Fluid Mechanics
7 Chaos, Solitons and Fractals
7 SIAM Journal on Numerical Analysis
7 Studies in Applied Mathematics
6 Journal of the Franklin Institute
6 Journal of Mathematical Chemistry
6 Nonlinear Dynamics
6 Journal of High Energy Physics
6 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Engineering Mathematics
5 Mathematical Methods in the Applied Sciences
5 Journal of Differential Equations
5 Acta Applicandae Mathematicae
5 European Journal of Applied Mathematics
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Journal of Dynamics and Differential Equations
5 Journal of Nonlinear Science
5 Journal of Difference Equations and Applications
5 Abstract and Applied Analysis
5 Communications in Nonlinear Science and Numerical Simulation
5 S\(\vec{\text{e}}\)MA Journal
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Bulletin of Mathematical Biology
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Applied Mathematics and Mechanics. (English Edition)
4 Journal of Economic Dynamics & Control
4 Computational and Applied Mathematics
4 International Journal of Computational Methods
3 Bulletin of the Australian Mathematical Society
3 Computer Physics Communications
3 General Relativity and Gravitation
3 International Journal for Numerical Methods in Fluids
3 Calcolo
3 International Journal of Mathematics and Mathematical Sciences
3 Integral Equations and Operator Theory
3 Meccanica
3 Numerical Functional Analysis and Optimization
3 Optimal Control Applications & Methods
3 Japan Journal of Industrial and Applied Mathematics
3 Applications of Mathematics
3 Chaos
3 Discrete Dynamics in Nature and Society
3 European Journal of Mechanics. A. Solids
3 Communications on Pure and Applied Analysis
3 Journal of Applied Mathematics and Computing
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Mediterranean Journal of Mathematics
3 Science China. Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal of Modern Physics A
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Nonlinearity
2 Physics Letters. B
2 Rocky Mountain Journal of Mathematics
2 Theoretical and Computational Fluid Dynamics
2 Soviet Applied Mechanics
2 Automatica
2 Proceedings of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Journal of Complexity
2 Journal of Economics
2 Computational Mechanics
2 Aequationes Mathematicae
2 SIAM Review
2 Computational Economics
2 Communications in Numerical Methods in Engineering
2 Discrete and Continuous Dynamical Systems
...and 128 more Serials
all top 5

Cited in 42 Fields

932 Numerical analysis (65-XX)
400 Ordinary differential equations (34-XX)
386 Partial differential equations (35-XX)
185 Fluid mechanics (76-XX)
105 Dynamical systems and ergodic theory (37-XX)
55 Mechanics of deformable solids (74-XX)
55 Biology and other natural sciences (92-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
42 Classical thermodynamics, heat transfer (80-XX)
38 Systems theory; control (93-XX)
27 Mechanics of particles and systems (70-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
19 Approximations and expansions (41-XX)
19 Operator theory (47-XX)
18 Computer science (68-XX)
18 Geophysics (86-XX)
17 Integral equations (45-XX)
17 Statistical mechanics, structure of matter (82-XX)
17 Operations research, mathematical programming (90-XX)
13 Relativity and gravitational theory (83-XX)
12 Quantum theory (81-XX)
11 Probability theory and stochastic processes (60-XX)
11 Optics, electromagnetic theory (78-XX)
8 Global analysis, analysis on manifolds (58-XX)
6 Topological groups, Lie groups (22-XX)
6 Difference and functional equations (39-XX)
5 Functional analysis (46-XX)
5 Statistics (62-XX)
4 Real functions (26-XX)
4 Differential geometry (53-XX)
4 Astronomy and astrophysics (85-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Special functions (33-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

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