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Author ID: spence.alastair Recent zbMATH articles by "Spence, Alastair"
Published as: Spence, A.; Spence, Alastair
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 796 times in 551 Documents Cited by Year
The calculation of turning points of nonlinear equations. Zbl 0454.65042
Moore, G.; Spence, A.
98
1980
The computation of symmetry-breaking bifurcation points. Zbl 0554.65045
Werner, B.; Spence, A.
80
1984
The viscous Cahn-Hilliard equation. I: Computations. Zbl 0818.35045
Bai, F.; Elliott, C. M.; Gardiner, A.; Spence, A.; Stuart, A. M.
61
1995
Is the steady viscous incompressible two-dimensional flow over a backward-facing step at \(Re=800\) stable? Zbl 0784.76050
Gresho, Philip M.; Gartling, David K.; Torczynski, J. R.; Cliffe, K. A.; Winters, K. H.; Garratt, T. J.; Spence, A.; Goodrich, John W.
56
1993
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
54
1988
The numerical analysis of bifurcation problems with application to fluid mechanics. Zbl 1005.65138
Cliffe, K. A.; Spence, A.; Tavener, S. J.
41
2000
Non-simple turning points and cusps. Zbl 0539.65043
Spence, A.; Werner, B.
36
1982
Folds in solutions of two parameter systems and their calculation. I. Zbl 0576.65052
Jepson, A.; Spence, A.
29
1985
Eigenvalues of block matrices arising from problems in fluid mechanics. Zbl 0807.65030
Cliffe, K. A.; Garratt, T. J.; Spence, A.
27
1994
Photonic band structure calculations using nonlinear eigenvalue techniques. Zbl 1143.82336
Spence, Alastair; Poulton, Chris
25
2005
Inexact inverse iteration for symmetric matrices. Zbl 1101.65037
Berns-Müller, Jörg; Graham, Ivan G.; Spence, Alastair
21
2006
Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. Zbl 0814.65037
Meerbergen, K.; Spence, A.; Roose, D.
21
1994
Implicitly restarted Arnoldi with purification for the shift-invert transformation. Zbl 0864.65020
Meerbergen, Karl; Spence, Alastair
21
1997
A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems. Zbl 1151.65030
Freitag, Melina A.; Spence, Alastair
21
2008
Convergence of inexact inverse iteration with application to preconditioned iterative solvers. Zbl 1121.65038
Freitag, M. A.; Spence, A.
19
2007
The Galerkin method for integral equations of the first kind with logarithmic kernel: Applications. Zbl 0636.65144
Sloan, I. H.; Spence, A.
17
1988
A note on the calculation of paths of Hopf bifurcations. Zbl 0684.65057
Spence, A.; Cliffe, K. A.; Jepson, A. D.
16
1989
Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems. Zbl 1269.65036
Robbé, Mickaël; Sadkane, Miloud; Spence, Alastair
16
2009
A Newton-based method for the calculation of the distance to instability. Zbl 1228.65065
Freitag, M. A.; Spence, A.
16
2011
Eigenvalues of the discretized Navier-Stokes equation with application to the detection of Hopf bifurcations. Zbl 0830.76048
Cliffe, K. A.; Garratt, T. J.; Spence, A.
16
1993
Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves. Zbl 1142.65034
Freitag, M. A.; Spence, A.
15
2008
Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem. Zbl 1171.65025
Freitag, Melina A.; Spence, Alastair
15
2007
Projection methods for integral equations on the half-line. Zbl 0593.65095
Sloan, I. H.; Spence, A.
14
1986
The numerical computation of heteroclinic connections in systems of gradient partial differential equations. Zbl 0786.65077
Bai, Fengshan; Spence, Alastair; Stuart, Andrew M.
14
1993
Hunting for homoclinic orbits in reversible systems: A shooting technique. Zbl 0824.65080
Champneys, Alan R.; Spence, Alastair
14
1993
Inexact inverse iteration with variable shift for nonsymmetric generalized eigenvalue problems. Zbl 1134.65025
Berns-Müller, Jörg; Spence, Alastair
13
2006
Shift-invert Arnoldi’s method with preconditioned iterative solves. Zbl 1204.65034
Freitag, Melina A.; Spence, Alastair
13
2010
On superconvergence properties of Galerkin’s method for compact operator equations. Zbl 0532.65041
Spence, A.; Thomas, K. S.
11
1983
The numerical solution of nonlinear equations having several parameters. I: Scalar equations. Zbl 0597.65051
Jepson, Allan D.; Spence, Alastair
11
1985
The numerical calculation of cusps, bifurcation points and isola formation points in two parameter problems. Zbl 0547.65047
Spence, A.; Jepson, A. D.
11
1984
Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047
Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao
11
2012
Bifurcation to rotating waves in equations with \(O(2)\)-symmetry. Zbl 0764.34033
Aston, P. J.; Spence, A.; Wu, W.
10
1992
A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems. Zbl 1080.65542
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
9
1995
On the convergence of the Nyström method for the integral equation eigenvalue problem. Zbl 0297.65077
Spence, Alastair
9
1975
Singular points and their computation. Zbl 0579.65048
Jepson, A. D.; Spence, A.
9
1984
On a reduction process for nonlinear equations. Zbl 0685.58003
Jepson, A. D.; Spence, A.
8
1989
Error bounds and estimates for eigenvalues of integral equations. Zbl 0358.65109
Spence, Alastair
8
1978
Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation. Zbl 0824.35127
Bai, Fengshan; Spence, Alastair; Stuart, Andrew M.
8
1994
A generalised Cayley transform for the numerical detection of Hopf bifurcations in large systems. Zbl 0834.65024
Garratt, T. J.; Moore, G.; Spence, A.
8
1993
Calculating the \(H_{\infty}\)-norm using the implicit determinant method. Zbl 1305.65161
Freitag, Melina A.; Spence, Alastair; van Dooren, Paul
8
2014
Numerical methods for bifurcation problems. Zbl 0615.65062
Jepson, A. D.; Spence, A.
7
1987
A note on bifurcation points for index-1 differential-algebraic problems. Zbl 0945.65093
Ren, Y.; Spence, A.
7
1999
Orthogonal collocation for a nonlinear integro-differential equation. Zbl 0907.65140
Ganesh, M.; Spence, A.
7
1998
The convergence of operator approximations at turning points. Zbl 0473.65032
Moore, G.; Spence, A.
6
1981
Integral equations on the half-line: A modified finite-section approximation. Zbl 0611.65093
Sloan, I. H.; Spence, A.
6
1986
The calculation of high order singularities in the finite Taylor problem. Zbl 0574.76110
Cliffe, K. A.; Spence, A.
6
1984
The numerical detection of Hopf bifurcation points. Zbl 0705.34045
Moore, G.; Garratt, T. J.; Spence, A.
6
1990
\(O(2)\)-symmetry breaking bifurcation: With application to the flow past a sphere in a pipe. Zbl 0966.76025
Cliffe, K. A.; Spence, A.; Tavener, S. J.
6
2000
Inverse iteration for purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large-scale problems. Zbl 1205.65156
Meerbergen, Karl; Spence, Alastair
6
2010
A new approach for calculating the real stability radius. Zbl 1317.65097
Freitag, Melina A.; Spence, Alastair
6
2014
Deferred correction for the integral equation eigenvalue problem. Zbl 0469.65090
Chu, K. W.; Spence, A.
5
1981
The calculation of the distance to a nearby defective matrix. Zbl 1340.65072
Akinola, R. O.; Freitag, M. A.; Spence, A.
5
2014
Analysis of box schemes for reactive flow problems. Zbl 1136.65332
Mitchell, S. L.; Morton, K. W.; Spence, A.
4
2006
Error bounds and estimates for eigenvalues of integral equations. II. Zbl 0387.65078
Spence, Alastair
4
1979
The computation of Jordan blocks in parameter-dependent matrices. Zbl 1302.65136
Akinola, Richard O.; Freitag, Melina A.; Spence, Alastair
4
2014
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? Zbl 1492.65090
Marchand, P.; Galkowski, J.; Spence, E. A.; Spence, A.
4
2022
Continuation and bifurcations: numerical techniques and applications. Proceedings of the NATO advanced research workshop, Leuven, Belgium, September 18-22, 1989. Zbl 0701.00021
3
1990
Steady-state/Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point. Zbl 0792.65037
Wu, W.; Spence, A.; Cliffe, K. A.
3
1994
Path-following methods in bifurcation problems. Zbl 0667.34042
Brindley, J.; Kaas-Petersen, C.; Spence, A.
3
1989
The numerical solution of nonlinear equations having several parameters. III: Equations with \(Z_ 2\)-symmetry. Zbl 0760.65058
Jepson, A. D.; Spence, A.; Cliffe, K. A.
2
1991
Numerical investigation of the bifurcation from travelling waves to modulated travelling waves. Zbl 0777.34028
Aston, P.; Spence, A.; Wu, W.
2
1992
Numerical calculations of bifurcations in the finite Taylor problem. Zbl 0633.35007
Cliffe, K. A.; Spence, A.
2
1986
The numerical solution of bifurcation problems with symmetry with application to the finite Taylor problem. Zbl 0633.35008
Cliffe, K. A.; Jepson, A. D.; Spence, A.
2
1986
Detection of Hopf points by counting sectors in the complex plane. Zbl 0860.65027
Govaerts, W.; Spence, A.
2
1996
Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Zbl 1141.76438
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2003
Numerical techniques for nonlinear multi-parameter problems. Zbl 0543.65045
Spence, A.; Jepson, A.
2
1984
Numerical computations of connecting orbits in discrete and continuous dynamical systems. Zbl 0877.65049
Bai, Fengshan; Lord, Gabriel J.; Spence, Alastair
2
1996
Bifurcation analysis of double Takens-Bogdanov points of nonlinear equations with a \(\mathbb{Z}_ 2\)-symmetry. Zbl 0885.58079
Spence, Alastair; Wu, Wei; Roose, Dirk; de Dier, Bart
2
1993
Parallel iterative methods for Navier-Stokes equations and application to stability assessment. Zbl 1068.65511
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2002
Adaptive numerical solution of integral equations with application to a problem with a boundary layer. Zbl 0676.65137
Graham, I. G.; Shaw, R. E.; Spence, A.
2
1989
A convergence analysis for turning points of nonlinear compact operator equations. Zbl 0453.65041
Spence, A.; Moore, G.
2
1980
Product integration for singular integrals and singular integral equations. Zbl 0412.65063
Spence, Alastair
1
1979
Operator approximation and symmetry-breaking bifurcation. Zbl 0621.65055
Moore, G.; Spence, A.; Werner, B.
1
1986
The numerical computation of turning points of nonlinear equations. Zbl 0539.65044
Spence, A.; Jepson, A.
1
1982
Wiener-Hopf integral equations: Finite section approximation and projection methods. Zbl 0561.65094
Sloan, I. H.; Spence, A.
1
1985
Numerical methods for bifurcation problems. Zbl 0939.65078
Spence, Alastair; Graham, Ivan G.
1
1999
Rotating waves from Hopf bifurcations in equations with \(O(2)\)-symmetry. Zbl 0803.65119
Wu, W.; Aston, P. J.; Spence, A.
1
1994
Matrices with rank deficiency two in eigenvalue problems and dynamical systems. Zbl 0814.65038
Chu, K.-W. E.; Govaerts, W.; Spence, A.
1
1994
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? Zbl 1492.65090
Marchand, P.; Galkowski, J.; Spence, E. A.; Spence, A.
4
2022
Calculating the \(H_{\infty}\)-norm using the implicit determinant method. Zbl 1305.65161
Freitag, Melina A.; Spence, Alastair; van Dooren, Paul
8
2014
A new approach for calculating the real stability radius. Zbl 1317.65097
Freitag, Melina A.; Spence, Alastair
6
2014
The calculation of the distance to a nearby defective matrix. Zbl 1340.65072
Akinola, R. O.; Freitag, M. A.; Spence, A.
5
2014
The computation of Jordan blocks in parameter-dependent matrices. Zbl 1302.65136
Akinola, Richard O.; Freitag, Melina A.; Spence, Alastair
4
2014
Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047
Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao
11
2012
A Newton-based method for the calculation of the distance to instability. Zbl 1228.65065
Freitag, M. A.; Spence, A.
16
2011
Shift-invert Arnoldi’s method with preconditioned iterative solves. Zbl 1204.65034
Freitag, Melina A.; Spence, Alastair
13
2010
Inverse iteration for purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large-scale problems. Zbl 1205.65156
Meerbergen, Karl; Spence, Alastair
6
2010
Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems. Zbl 1269.65036
Robbé, Mickaël; Sadkane, Miloud; Spence, Alastair
16
2009
A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems. Zbl 1151.65030
Freitag, Melina A.; Spence, Alastair
21
2008
Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves. Zbl 1142.65034
Freitag, M. A.; Spence, A.
15
2008
Convergence of inexact inverse iteration with application to preconditioned iterative solvers. Zbl 1121.65038
Freitag, M. A.; Spence, A.
19
2007
Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem. Zbl 1171.65025
Freitag, Melina A.; Spence, Alastair
15
2007
Inexact inverse iteration for symmetric matrices. Zbl 1101.65037
Berns-Müller, Jörg; Graham, Ivan G.; Spence, Alastair
21
2006
Inexact inverse iteration with variable shift for nonsymmetric generalized eigenvalue problems. Zbl 1134.65025
Berns-Müller, Jörg; Spence, Alastair
13
2006
Analysis of box schemes for reactive flow problems. Zbl 1136.65332
Mitchell, S. L.; Morton, K. W.; Spence, A.
4
2006
Photonic band structure calculations using nonlinear eigenvalue techniques. Zbl 1143.82336
Spence, Alastair; Poulton, Chris
25
2005
Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Zbl 1141.76438
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2003
Parallel iterative methods for Navier-Stokes equations and application to stability assessment. Zbl 1068.65511
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2002
The numerical analysis of bifurcation problems with application to fluid mechanics. Zbl 1005.65138
Cliffe, K. A.; Spence, A.; Tavener, S. J.
41
2000
\(O(2)\)-symmetry breaking bifurcation: With application to the flow past a sphere in a pipe. Zbl 0966.76025
Cliffe, K. A.; Spence, A.; Tavener, S. J.
6
2000
A note on bifurcation points for index-1 differential-algebraic problems. Zbl 0945.65093
Ren, Y.; Spence, A.
7
1999
Numerical methods for bifurcation problems. Zbl 0939.65078
Spence, Alastair; Graham, Ivan G.
1
1999
Orthogonal collocation for a nonlinear integro-differential equation. Zbl 0907.65140
Ganesh, M.; Spence, A.
7
1998
Implicitly restarted Arnoldi with purification for the shift-invert transformation. Zbl 0864.65020
Meerbergen, Karl; Spence, Alastair
21
1997
Detection of Hopf points by counting sectors in the complex plane. Zbl 0860.65027
Govaerts, W.; Spence, A.
2
1996
Numerical computations of connecting orbits in discrete and continuous dynamical systems. Zbl 0877.65049
Bai, Fengshan; Lord, Gabriel J.; Spence, Alastair
2
1996
The viscous Cahn-Hilliard equation. I: Computations. Zbl 0818.35045
Bai, F.; Elliott, C. M.; Gardiner, A.; Spence, A.; Stuart, A. M.
61
1995
A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems. Zbl 1080.65542
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
9
1995
Eigenvalues of block matrices arising from problems in fluid mechanics. Zbl 0807.65030
Cliffe, K. A.; Garratt, T. J.; Spence, A.
27
1994
Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. Zbl 0814.65037
Meerbergen, K.; Spence, A.; Roose, D.
21
1994
Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation. Zbl 0824.35127
Bai, Fengshan; Spence, Alastair; Stuart, Andrew M.
8
1994
Steady-state/Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point. Zbl 0792.65037
Wu, W.; Spence, A.; Cliffe, K. A.
3
1994
Rotating waves from Hopf bifurcations in equations with \(O(2)\)-symmetry. Zbl 0803.65119
Wu, W.; Aston, P. J.; Spence, A.
1
1994
Matrices with rank deficiency two in eigenvalue problems and dynamical systems. Zbl 0814.65038
Chu, K.-W. E.; Govaerts, W.; Spence, A.
1
1994
Is the steady viscous incompressible two-dimensional flow over a backward-facing step at \(Re=800\) stable? Zbl 0784.76050
Gresho, Philip M.; Gartling, David K.; Torczynski, J. R.; Cliffe, K. A.; Winters, K. H.; Garratt, T. J.; Spence, A.; Goodrich, John W.
56
1993
Eigenvalues of the discretized Navier-Stokes equation with application to the detection of Hopf bifurcations. Zbl 0830.76048
Cliffe, K. A.; Garratt, T. J.; Spence, A.
16
1993
The numerical computation of heteroclinic connections in systems of gradient partial differential equations. Zbl 0786.65077
Bai, Fengshan; Spence, Alastair; Stuart, Andrew M.
14
1993
Hunting for homoclinic orbits in reversible systems: A shooting technique. Zbl 0824.65080
Champneys, Alan R.; Spence, Alastair
14
1993
A generalised Cayley transform for the numerical detection of Hopf bifurcations in large systems. Zbl 0834.65024
Garratt, T. J.; Moore, G.; Spence, A.
8
1993
Bifurcation analysis of double Takens-Bogdanov points of nonlinear equations with a \(\mathbb{Z}_ 2\)-symmetry. Zbl 0885.58079
Spence, Alastair; Wu, Wei; Roose, Dirk; de Dier, Bart
2
1993
Bifurcation to rotating waves in equations with \(O(2)\)-symmetry. Zbl 0764.34033
Aston, P. J.; Spence, A.; Wu, W.
10
1992
Numerical investigation of the bifurcation from travelling waves to modulated travelling waves. Zbl 0777.34028
Aston, P.; Spence, A.; Wu, W.
2
1992
The numerical solution of nonlinear equations having several parameters. III: Equations with \(Z_ 2\)-symmetry. Zbl 0760.65058
Jepson, A. D.; Spence, A.; Cliffe, K. A.
2
1991
The numerical detection of Hopf bifurcation points. Zbl 0705.34045
Moore, G.; Garratt, T. J.; Spence, A.
6
1990
Continuation and bifurcations: numerical techniques and applications. Proceedings of the NATO advanced research workshop, Leuven, Belgium, September 18-22, 1989. Zbl 0701.00021
3
1990
A note on the calculation of paths of Hopf bifurcations. Zbl 0684.65057
Spence, A.; Cliffe, K. A.; Jepson, A. D.
16
1989
On a reduction process for nonlinear equations. Zbl 0685.58003
Jepson, A. D.; Spence, A.
8
1989
Path-following methods in bifurcation problems. Zbl 0667.34042
Brindley, J.; Kaas-Petersen, C.; Spence, A.
3
1989
Adaptive numerical solution of integral equations with application to a problem with a boundary layer. Zbl 0676.65137
Graham, I. G.; Shaw, R. E.; Spence, A.
2
1989
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
54
1988
The Galerkin method for integral equations of the first kind with logarithmic kernel: Applications. Zbl 0636.65144
Sloan, I. H.; Spence, A.
17
1988
Numerical methods for bifurcation problems. Zbl 0615.65062
Jepson, A. D.; Spence, A.
7
1987
Projection methods for integral equations on the half-line. Zbl 0593.65095
Sloan, I. H.; Spence, A.
14
1986
Integral equations on the half-line: A modified finite-section approximation. Zbl 0611.65093
Sloan, I. H.; Spence, A.
6
1986
Numerical calculations of bifurcations in the finite Taylor problem. Zbl 0633.35007
Cliffe, K. A.; Spence, A.
2
1986
The numerical solution of bifurcation problems with symmetry with application to the finite Taylor problem. Zbl 0633.35008
Cliffe, K. A.; Jepson, A. D.; Spence, A.
2
1986
Operator approximation and symmetry-breaking bifurcation. Zbl 0621.65055
Moore, G.; Spence, A.; Werner, B.
1
1986
Folds in solutions of two parameter systems and their calculation. I. Zbl 0576.65052
Jepson, A.; Spence, A.
29
1985
The numerical solution of nonlinear equations having several parameters. I: Scalar equations. Zbl 0597.65051
Jepson, Allan D.; Spence, Alastair
11
1985
Wiener-Hopf integral equations: Finite section approximation and projection methods. Zbl 0561.65094
Sloan, I. H.; Spence, A.
1
1985
The computation of symmetry-breaking bifurcation points. Zbl 0554.65045
Werner, B.; Spence, A.
80
1984
The numerical calculation of cusps, bifurcation points and isola formation points in two parameter problems. Zbl 0547.65047
Spence, A.; Jepson, A. D.
11
1984
Singular points and their computation. Zbl 0579.65048
Jepson, A. D.; Spence, A.
9
1984
The calculation of high order singularities in the finite Taylor problem. Zbl 0574.76110
Cliffe, K. A.; Spence, A.
6
1984
Numerical techniques for nonlinear multi-parameter problems. Zbl 0543.65045
Spence, A.; Jepson, A.
2
1984
On superconvergence properties of Galerkin’s method for compact operator equations. Zbl 0532.65041
Spence, A.; Thomas, K. S.
11
1983
Non-simple turning points and cusps. Zbl 0539.65043
Spence, A.; Werner, B.
36
1982
The numerical computation of turning points of nonlinear equations. Zbl 0539.65044
Spence, A.; Jepson, A.
1
1982
The convergence of operator approximations at turning points. Zbl 0473.65032
Moore, G.; Spence, A.
6
1981
Deferred correction for the integral equation eigenvalue problem. Zbl 0469.65090
Chu, K. W.; Spence, A.
5
1981
The calculation of turning points of nonlinear equations. Zbl 0454.65042
Moore, G.; Spence, A.
98
1980
A convergence analysis for turning points of nonlinear compact operator equations. Zbl 0453.65041
Spence, A.; Moore, G.
2
1980
Error bounds and estimates for eigenvalues of integral equations. II. Zbl 0387.65078
Spence, Alastair
4
1979
Product integration for singular integrals and singular integral equations. Zbl 0412.65063
Spence, Alastair
1
1979
Error bounds and estimates for eigenvalues of integral equations. Zbl 0358.65109
Spence, Alastair
8
1978
On the convergence of the Nyström method for the integral equation eigenvalue problem. Zbl 0297.65077
Spence, Alastair
9
1975
all top 5

Cited by 833 Authors

18 Cliffe, K. Andrew
16 Spence, Alastair
9 Champneys, Alan R.
8 Freitag, Melina A.
8 Meerbergen, Karl
8 Roose, Dirk
7 Benner, Peter
7 Jia, Zhongxiao
6 Colli, Pierluigi
6 Janovský, Vladimír
6 Nechepurenko, Yuri M.
6 Sadkane, Miloud
6 Wanner, Thomas
6 Winters, Keith H.
6 Yang, Zhonghua
5 Aston, Philip J.
5 Govaerts, Willy J. F.
5 Kostić, Vladimir R.
5 Mengi, Emre
5 Power, Henry
5 Salinger, Andrew G.
5 Tavener, Simon J.
5 Xue, Fei
4 Amdjadi, Faridon
4 Bergamaschi, Luca
4 Böhmer, Klaus
4 Choo, S. M.
4 Chung, Sang Kwon
4 Cvetković, Ljiljana
4 Elman, Howard C.
4 Embree, Mark
4 Fazio, Riccardo
4 Galkowski, Jeffrey
4 Houston, Paul
4 Kim, Junseok
4 Lehoucq, Richard B.
4 Li, Zhe
4 Liu, Changchun
4 Marchand, Pierre
4 Martínez, Ángeles
4 Mehrmann, Volker
4 Nandakumar, Krishnaswamy
4 Pönisch, Gerd
4 Wu, Wei
4 Ye, Ruisong
3 Aliyev, Nicat
3 Attili, Basem S.
3 Bai, Zhongzhi
3 Bänsch, Eberhard
3 Bultheel, Adhemar François
3 Bustamante, Carlos Andres
3 Chen, Ke
3 Cherfils, Laurence
3 Cochelin, Bruno
3 De Samblanx, Gorik
3 Di, Huafei
3 Engelborghs, Koen
3 Eriksson, Anders B.
3 Florez, Whady Felipe
3 Gilardi, Gianni
3 Guglielmi, Nicola
3 Hall, Edward J. C.
3 Hermann, Martin
3 Hussein, Anwar
3 Hwang, Fengnan
3 Jarlebring, Elias
3 Kürschner, Patrick
3 Li, Changpin
3 Miao, Cun-Qiang
3 Miranville, Alain M.
3 Moret, Igor
3 Mullin, Tom
3 Phipps, Eric T.
3 Pierre, Morgan
3 Reddy, Junuthula Narasimha
3 Román, Jose E.
3 Saak, Jens
3 Silvester, David J.
3 Spence, Euan A.
3 Sprekels, Jürgen
3 Szyld, Daniel B.
3 Vandebril, Raf
3 Voigt, Matthias
3 Weinitschke, Hubertus J.
3 Werner, Bodo
3 Zelik, Sergey V.
2 Azevedo, Juarez S.
2 Barrio, Roberto
2 Barton, I. E.
2 Berrone, Stefano
2 Bonetti, Elena
2 Boullé, Nicolas
2 Buffoni, Boris
2 Burroughs, Elizabeth A.
2 Caluwaerts, R.
2 Cao, Yang
2 Cherkaev, Elena
2 Dellnitz, Michael
2 Demyanko, Kirill V.
2 Favennec, Yann
...and 733 more Authors
all top 5

Cited in 156 Serials

31 Computer Methods in Applied Mechanics and Engineering
30 Journal of Computational Physics
29 Journal of Computational and Applied Mathematics
21 Journal of Fluid Mechanics
18 SIAM Journal on Scientific Computing
16 Linear Algebra and its Applications
15 Numerische Mathematik
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
14 Computers & Mathematics with Applications
13 International Journal for Numerical Methods in Fluids
13 Physica D
12 Computing
11 SIAM Journal on Matrix Analysis and Applications
10 Applied Mathematics and Computation
10 BIT
9 Computers and Fluids
9 Applied Numerical Mathematics
9 Journal of Scientific Computing
8 Numerical Algorithms
7 International Journal of Computer Mathematics
7 Physics of Fluids
7 Numerical Linear Algebra with Applications
6 International Journal for Numerical Methods in Engineering
6 Advances in Computational Mathematics
5 Journal of Mathematical Analysis and Applications
5 Mathematics of Computation
5 Computational Mechanics
4 Applicable Analysis
4 Chaos, Solitons and Fractals
4 Numerical Functional Analysis and Optimization
4 Applications of Mathematics
4 Computational and Applied Mathematics
4 Engineering Analysis with Boundary Elements
4 Computational Methods in Applied Mathematics
3 Applied Mathematics Letters
3 SIAM Journal on Applied Mathematics
3 Journal of Shanghai University
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Applied Mathematics and Computing
3 SIAM Journal on Applied Dynamical Systems
3 Science China. Mathematics
3 Numerical Algebra, Control and Optimization
2 Acta Mechanica
2 Computer Physics Communications
2 International Journal of Engineering Science
2 Journal of the Mechanics and Physics of Solids
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Transactions of the American Mathematical Society
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Review
2 Communications in Numerical Methods in Engineering
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 International Journal of Computational Fluid Dynamics
2 Nonlinear Dynamics
2 Optimization Methods & Software
2 Chaos
2 Acta Mathematica Sinica. English Series
2 Discrete and Continuous Dynamical Systems. Series B
2 Communications on Pure and Applied Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Journal of Fixed Point Theory and Applications
2 Nonlinear Analysis. Theory, Methods & Applications
2 AIMS Mathematics
1 Archive for Rational Mechanics and Analysis
1 Ingenieur-Archiv
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Periodica Mathematica Hungarica
1 Wave Motion
1 Physics of Fluids, A
1 Theoretical and Computational Fluid Dynamics
1 ACM Transactions on Mathematical Software
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Calcolo
1 Integral Equations and Operator Theory
1 Manuscripta Mathematica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studies in Applied Mathematics
1 Optimal Control Applications & Methods
1 Systems & Control Letters
1 Bulletin of the Iranian Mathematical Society
1 Parallel Computing
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Japan Journal of Applied Mathematics
1 Journal of Symbolic Computation
...and 56 more Serials
all top 5

Cited in 37 Fields

309 Numerical analysis (65-XX)
148 Fluid mechanics (76-XX)
118 Partial differential equations (35-XX)
67 Dynamical systems and ergodic theory (37-XX)
61 Ordinary differential equations (34-XX)
51 Mechanics of deformable solids (74-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
28 Operator theory (47-XX)
22 Systems theory; control (93-XX)
19 Classical thermodynamics, heat transfer (80-XX)
13 Computer science (68-XX)
12 Integral equations (45-XX)
12 Optics, electromagnetic theory (78-XX)
11 Biology and other natural sciences (92-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 Probability theory and stochastic processes (60-XX)
7 Operations research, mathematical programming (90-XX)
5 Functional analysis (46-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Commutative algebra (13-XX)
3 Approximations and expansions (41-XX)
3 Statistics (62-XX)
3 Mechanics of particles and systems (70-XX)
2 Number theory (11-XX)
2 Functions of a complex variable (30-XX)
2 Manifolds and cell complexes (57-XX)
2 Quantum theory (81-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Information and communication theory, circuits (94-XX)

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