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Nørsett, Syvert Paul

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Author ID: norsett.syvert-paul Recent zbMATH articles by "Nørsett, Syvert Paul"
Published as: Nørsett, S. P.; Nørsett, Syvert; Nørsett, Syvert P.; Nørsett, Syvert Paul
External Links: MGP · Wikidata · GND
Documents Indexed: 87 Publications since 1969, including 5 Books

Publications by Year

Citations contained in zbMATH

78 Publications have been cited 3,529 times in 2,803 Documents Cited by Year
Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1993
Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
537
1987
Lie-group methods. Zbl 1064.65147
Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella
155
2000
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309
Iserles, Arieh; Nørsett, Syvert P.
139
2005
Order stars and stability theorems. Zbl 0444.65039
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
110
1978
Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
104
2010
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080
Iserles, A.; Nørsett, S. P.
97
1999
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016
Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.
95
1991
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
90
2004
Interpolants for Runge-Kutta formulas. Zbl 0617.65068
Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, Per G.
74
1986
The potential for parallelism in Runge-Kutta methods. I: RK formulas in standard form. Zbl 0826.65073
Jackson, K. R.; Nørsett, S. P.
53
1995
One-step methods of Hermite type for numerical integration of stiff systems. Zbl 0278.65078
Nørsett, Syvert P.
48
1974
The real-pole sandwich for rational approximations and oscillation equations. Zbl 0413.65011
Nørsett, Syvert P.; Wanner, Gerhard
42
1979
C-polynomials for rational approximation to the exponential function. Zbl 0299.65010
Nørsett, Syvert P.
37
1975
Perturbed collocation and Runge-Kutta methods. Zbl 0471.65045
Nørsett, Syvert P.; Wanner, Gerhard
36
1981
Attainable order of rational approximations to the exponential function with only real poles. Zbl 0361.41011
Nørsett, Syvert P.; Wolfbrandt, Arne
36
1977
Runge-Kutta theory for Volterra integral equations of the second kind. Zbl 0496.65066
Brunner, Hermann; Hairer, Ernst; Nørsett, Syvert P.
31
1982
Order conditions for Rosenbrock type methods. Zbl 0471.65044
Nørsett, Syvert P.; Wolfbrandt, Arne
31
1979
From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348
Iserles, Arieh; Nørsett, Syvert P.
27
2008
Runge-Kutta methods with a multiple real eigenvalue only. Zbl 0345.65036
Nørsett, Syvert P.
26
1976
On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077
Iserles, A.; Marthinsen, A.; Nørsett, S. P.
25
1999
On the theory of parallel Runge-Kutta methods. Zbl 0712.65071
Iserles, Arieh; Nørsett, Syvert P.
25
1990
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019
Iserles, Arieh; Nørsett, Syvert P.
23
2006
Restricted Padé approximations to the exponential function. Zbl 0405.41009
Nørsett, Syvert P.
23
1978
Highly oscillatory quadrature: the story so far. Zbl 1119.65317
Iserles, A.; Nørsett, S. P.; Olver, S.
22
2006
Aspects of parallel Runge-Kutta methods. Zbl 0683.65057
Nørsett, Syvert P.; Simonsen, Harald H.
22
1989
Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind. Zbl 0442.65125
Brunner, Hermann; Nørsett, Syvert P.
22
1981
Order of convergence of one-step methods for Volterra integral equations of the second kind. Zbl 0519.65088
Hairer, Ernst; Lubich, Ch.; Nørsett, Syvert P.
21
1983
Superconvergence for multistep collocation. Zbl 0658.65063
Lie, Ivar; Nørsett, Syvert P.
20
1989
An A-stable modification of the Adam-Bashforth methods. Zbl 0188.22502
Nørsett, Syvert P.
20
1969
Runge-Kutta methods for neutral differential equations. Zbl 0834.65061
Buhmann, M. D.; Iserles, A.; Nørsett, S. P.
17
1993
Orthogonality and approximation in a Sobolev space. Zbl 0749.41030
Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P.
17
1990
The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
16
2010
Order stars. Zbl 0743.65062
Iserles, Arieh; Nørsett, Syvert P.
16
1991
From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149
Iserles, Arieh; Nørsett, Syvert P.
15
2009
Embedded SDIRK-methods of basic order three. Zbl 0554.65053
Nørsett, Syvert P.; Thomsen, Per G.
14
1984
A criterion for \(A(\alpha)\)-stability of linear multistep methods. Zbl 0185.41701
Nørsett, Syvert P.
14
1969
On the theory of biorthogonal polynomials. Zbl 0662.42017
Iserles, Arieh; Nørsett, Syvert P.
13
1988
Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants. Zbl 0651.65058
Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, P. G.
13
1988
Local error control in SDIRK-methods. Zbl 0627.65082
Nørsett, Syvert P.; Thomsen, Per G.
13
1986
On transformations and zeros of polynomials. Zbl 0754.26007
Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B.
12
1991
On \(V_0\)-stability of numerical methods for Volterra integral equations of the second kind. Zbl 0435.65103
Brunner, Hermann; Nørsett, Syvert P.; Wolkenfelt, P. H. M.
12
1980
From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
10
2011
On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020
Iserles, A.; Nørsett, S. P.
10
2006
Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049
Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A.
10
1996
Order stars and rational approximants to exp(z). Zbl 0674.65043
Iserles, Arieh; Nørsett, Syvert P.
9
1989
An analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values. Zbl 0864.65051
Jackson, K. R.; Kværnø, A.; Nørsett, S. P.
8
1996
Zeros of transformed polynomials. Zbl 0698.33007
Iserles, Arieh; Nørsett, Syvert P.
8
1990
The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
7
2011
The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas. Zbl 0817.65060
Jackson, K. R.; Kværnø, A.; Nørsett, Syvert P.
7
1994
Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022
Iserles, Arieh; Nørsett, Syvert P.
7
1987
Displacement or residual test in the application of implicit methods for stiff problems. Zbl 0579.65070
Houbak, Niels; Nørsett, Syvert P.; Thomsen, Per Grove
6
1985
A note on local Galerkin and collocation methods for ordinary differential equations. Zbl 0321.65047
Nørsett, Syvert P.
6
1975
From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
5
2011
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
5
2010
Time symmetry and high-order Magnus methods. Zbl 0996.65071
Iserles, A.; Nørsett, S. P.; Rasmussen, A. F.
5
2001
Bi-orthogonal polynomials. Zbl 0578.42019
Iserles, Arieh; Nørsett, Syvert P.
5
1985
Collocation and perturbed collocation methods. Zbl 0447.65043
Nørsett, Syvert P.
5
1980
Parallel Runge-Kutta methods. Zbl 0767.65061
Iserles, Arieh; Nørsett, Syvert P.
4
1992
Two-step methods and bi-orthogonality. Zbl 0632.65080
Iserles, Arieh; Nørsett, Syvert P.
4
1987
From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232
Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P.
3
2012
Runge-Kutta research in Trondheim. Zbl 0870.65064
Kværnø, A.; Nørsett, S. P.; Owren, B.
3
1996
Christoffel-Darboux-type formulae and a recurrence for biorthogonal polynomials. Zbl 0676.42025
Iserles, Arieh; Nørsett, Syvert P.
3
1989
Switching between modified Newton and fix-point iteration for implicit ODE-solvers. Zbl 0602.65052
Nørsett, Syvert P.; Thomsen, Per G.
3
1986
When I-stability implies A-stability. Zbl 0444.65040
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
3
1978
Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083
Condon, M.; Iserles, A.; Nørsett, S. P.
2
2014
Biorthogonal polynomials and zero-mapping transformations. Zbl 0867.33004
Iserles, A.; Nørsett, S. P.
2
1997
Biorthogonal polynomials in numerical ODEs. Zbl 0824.65046
Iserles, Arieh; Nørsett, Syvert P.
2
1994
Exponential fitting of restricted rational approximations to the exponential function. Zbl 0578.41019
Nørsett, Syvert P.; Trickett, Stewart R.
2
1984
A proof of the first Dahlquist barrier by order stars. Zbl 0574.65086
Iserles, Arieh; Nørsett, Syvert P.
2
1984
Explicit representations of biorthogonal polynomials. Zbl 0833.42013
Iserles, Arieh; Nørsett, Syvert P.
1
1995
Error control of rational approximations to the exponential function. Zbl 0597.41015
Iserles, Arieh; Nørsett, Syvert P.
1
1986
Rational approximations to the exponential function with two complex conjugate interpolation points. Zbl 0599.30063
Hairer, Ernst; Iserles, Arieh; Nørsett, Syvert P.
1
1985
A-acceptability of derivatives of rational approximations to EXP(Z). Zbl 0583.41017
Iserles, Arieh; Nørsett, Syvert P.
1
1985
Splines and collocation for ordinary initial value problems. Zbl 0559.34010
Nørsett, Syvert P.
1
1984
Frequency fitting of rational approximations to the exponential function. Zbl 0516.41013
Iserles, Arieh; Nørsett, Syvert P.
1
1983
When I-stability implies A-stability. Zbl 0432.34033
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1
1978
On using the DuFort-Frankel scheme for determination of the velocity profile in turbulent boundary layer along an oscillating wall. Zbl 0385.76053
Nørsett, Syvert P.
1
1978
Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083
Condon, M.; Iserles, A.; Nørsett, S. P.
2
2014
From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232
Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P.
3
2012
From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
10
2011
The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
7
2011
From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
5
2011
Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
104
2010
The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
16
2010
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
5
2010
From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149
Iserles, Arieh; Nørsett, Syvert P.
15
2009
From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348
Iserles, Arieh; Nørsett, Syvert P.
27
2008
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019
Iserles, Arieh; Nørsett, Syvert P.
23
2006
Highly oscillatory quadrature: the story so far. Zbl 1119.65317
Iserles, A.; Nørsett, S. P.; Olver, S.
22
2006
On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020
Iserles, A.; Nørsett, S. P.
10
2006
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309
Iserles, Arieh; Nørsett, Syvert P.
139
2005
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
90
2004
Time symmetry and high-order Magnus methods. Zbl 0996.65071
Iserles, A.; Nørsett, S. P.; Rasmussen, A. F.
5
2001
Lie-group methods. Zbl 1064.65147
Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella
155
2000
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080
Iserles, A.; Nørsett, S. P.
97
1999
On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077
Iserles, A.; Marthinsen, A.; Nørsett, S. P.
25
1999
Biorthogonal polynomials and zero-mapping transformations. Zbl 0867.33004
Iserles, A.; Nørsett, S. P.
2
1997
Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049
Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A.
10
1996
An analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values. Zbl 0864.65051
Jackson, K. R.; Kværnø, A.; Nørsett, S. P.
8
1996
Runge-Kutta research in Trondheim. Zbl 0870.65064
Kværnø, A.; Nørsett, S. P.; Owren, B.
3
1996
The potential for parallelism in Runge-Kutta methods. I: RK formulas in standard form. Zbl 0826.65073
Jackson, K. R.; Nørsett, S. P.
53
1995
Explicit representations of biorthogonal polynomials. Zbl 0833.42013
Iserles, Arieh; Nørsett, Syvert P.
1
1995
The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas. Zbl 0817.65060
Jackson, K. R.; Kværnø, A.; Nørsett, Syvert P.
7
1994
Biorthogonal polynomials in numerical ODEs. Zbl 0824.65046
Iserles, Arieh; Nørsett, Syvert P.
2
1994
Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1993
Runge-Kutta methods for neutral differential equations. Zbl 0834.65061
Buhmann, M. D.; Iserles, A.; Nørsett, S. P.
17
1993
Parallel Runge-Kutta methods. Zbl 0767.65061
Iserles, Arieh; Nørsett, Syvert P.
4
1992
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016
Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.
95
1991
Order stars. Zbl 0743.65062
Iserles, Arieh; Nørsett, Syvert P.
16
1991
On transformations and zeros of polynomials. Zbl 0754.26007
Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B.
12
1991
On the theory of parallel Runge-Kutta methods. Zbl 0712.65071
Iserles, Arieh; Nørsett, Syvert P.
25
1990
Orthogonality and approximation in a Sobolev space. Zbl 0749.41030
Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P.
17
1990
Zeros of transformed polynomials. Zbl 0698.33007
Iserles, Arieh; Nørsett, Syvert P.
8
1990
Aspects of parallel Runge-Kutta methods. Zbl 0683.65057
Nørsett, Syvert P.; Simonsen, Harald H.
22
1989
Superconvergence for multistep collocation. Zbl 0658.65063
Lie, Ivar; Nørsett, Syvert P.
20
1989
Order stars and rational approximants to exp(z). Zbl 0674.65043
Iserles, Arieh; Nørsett, Syvert P.
9
1989
Christoffel-Darboux-type formulae and a recurrence for biorthogonal polynomials. Zbl 0676.42025
Iserles, Arieh; Nørsett, Syvert P.
3
1989
On the theory of biorthogonal polynomials. Zbl 0662.42017
Iserles, Arieh; Nørsett, Syvert P.
13
1988
Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants. Zbl 0651.65058
Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, P. G.
13
1988
Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
537
1987
Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022
Iserles, Arieh; Nørsett, Syvert P.
7
1987
Two-step methods and bi-orthogonality. Zbl 0632.65080
Iserles, Arieh; Nørsett, Syvert P.
4
1987
Interpolants for Runge-Kutta formulas. Zbl 0617.65068
Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, Per G.
74
1986
Local error control in SDIRK-methods. Zbl 0627.65082
Nørsett, Syvert P.; Thomsen, Per G.
13
1986
Switching between modified Newton and fix-point iteration for implicit ODE-solvers. Zbl 0602.65052
Nørsett, Syvert P.; Thomsen, Per G.
3
1986
Error control of rational approximations to the exponential function. Zbl 0597.41015
Iserles, Arieh; Nørsett, Syvert P.
1
1986
Displacement or residual test in the application of implicit methods for stiff problems. Zbl 0579.65070
Houbak, Niels; Nørsett, Syvert P.; Thomsen, Per Grove
6
1985
Bi-orthogonal polynomials. Zbl 0578.42019
Iserles, Arieh; Nørsett, Syvert P.
5
1985
Rational approximations to the exponential function with two complex conjugate interpolation points. Zbl 0599.30063
Hairer, Ernst; Iserles, Arieh; Nørsett, Syvert P.
1
1985
A-acceptability of derivatives of rational approximations to EXP(Z). Zbl 0583.41017
Iserles, Arieh; Nørsett, Syvert P.
1
1985
Embedded SDIRK-methods of basic order three. Zbl 0554.65053
Nørsett, Syvert P.; Thomsen, Per G.
14
1984
Exponential fitting of restricted rational approximations to the exponential function. Zbl 0578.41019
Nørsett, Syvert P.; Trickett, Stewart R.
2
1984
A proof of the first Dahlquist barrier by order stars. Zbl 0574.65086
Iserles, Arieh; Nørsett, Syvert P.
2
1984
Splines and collocation for ordinary initial value problems. Zbl 0559.34010
Nørsett, Syvert P.
1
1984
Order of convergence of one-step methods for Volterra integral equations of the second kind. Zbl 0519.65088
Hairer, Ernst; Lubich, Ch.; Nørsett, Syvert P.
21
1983
Frequency fitting of rational approximations to the exponential function. Zbl 0516.41013
Iserles, Arieh; Nørsett, Syvert P.
1
1983
Runge-Kutta theory for Volterra integral equations of the second kind. Zbl 0496.65066
Brunner, Hermann; Hairer, Ernst; Nørsett, Syvert P.
31
1982
Perturbed collocation and Runge-Kutta methods. Zbl 0471.65045
Nørsett, Syvert P.; Wanner, Gerhard
36
1981
Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind. Zbl 0442.65125
Brunner, Hermann; Nørsett, Syvert P.
22
1981
On \(V_0\)-stability of numerical methods for Volterra integral equations of the second kind. Zbl 0435.65103
Brunner, Hermann; Nørsett, Syvert P.; Wolkenfelt, P. H. M.
12
1980
Collocation and perturbed collocation methods. Zbl 0447.65043
Nørsett, Syvert P.
5
1980
The real-pole sandwich for rational approximations and oscillation equations. Zbl 0413.65011
Nørsett, Syvert P.; Wanner, Gerhard
42
1979
Order conditions for Rosenbrock type methods. Zbl 0471.65044
Nørsett, Syvert P.; Wolfbrandt, Arne
31
1979
Order stars and stability theorems. Zbl 0444.65039
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
110
1978
Restricted Padé approximations to the exponential function. Zbl 0405.41009
Nørsett, Syvert P.
23
1978
When I-stability implies A-stability. Zbl 0444.65040
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
3
1978
When I-stability implies A-stability. Zbl 0432.34033
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1
1978
On using the DuFort-Frankel scheme for determination of the velocity profile in turbulent boundary layer along an oscillating wall. Zbl 0385.76053
Nørsett, Syvert P.
1
1978
Attainable order of rational approximations to the exponential function with only real poles. Zbl 0361.41011
Nørsett, Syvert P.; Wolfbrandt, Arne
36
1977
Runge-Kutta methods with a multiple real eigenvalue only. Zbl 0345.65036
Nørsett, Syvert P.
26
1976
C-polynomials for rational approximation to the exponential function. Zbl 0299.65010
Nørsett, Syvert P.
37
1975
A note on local Galerkin and collocation methods for ordinary differential equations. Zbl 0321.65047
Nørsett, Syvert P.
6
1975
One-step methods of Hermite type for numerical integration of stiff systems. Zbl 0278.65078
Nørsett, Syvert P.
48
1974
An A-stable modification of the Adam-Bashforth methods. Zbl 0188.22502
Nørsett, Syvert P.
20
1969
A criterion for \(A(\alpha)\)-stability of linear multistep methods. Zbl 0185.41701
Nørsett, Syvert P.
14
1969
all top 5

Cited by 3,152 Authors

55 Iserles, Arieh
38 Jackiewicz, Zdzislaw
38 Nørsett, Syvert Paul
35 Marcellán Español, Francisco
34 Weiner, Rüdiger
34 Wu, Xinyuan
33 Simos, Theodore E.
30 Butcher, John C.
29 Xiang, Shuhuang
28 Hairer, Ernst
26 Lubich, Christian
25 Tsitouras, Charalampos
24 van der Houwen, Pieter J.
24 You, Xiong
23 Blanes, Sergio
22 Kulikov, Gennady Yur’evich
21 Cong, Nguyen Huu
20 Fang, Yonglei
20 Sommeijer, Ben P.
19 Ramos, Higinio
19 Shampine, Lawrence Fred
19 Van Daele, Marnix
18 Sanz-Serna, Jesús María
17 Brunner, Hermann
17 Casas, Fernando
17 Hundsdorfer, Willem H.
17 Montijano, Juan Ignacio
17 Ostermann, Alexander
17 Sandu, Adrian
17 Wanner, Gerhard
16 Burrage, Kevin
16 Vanden Berghe, Guido
15 Calvo, Manuel
15 Franco, J. Méndez
15 Rández, Luis
14 Abdi, Ali
14 Chartier, Philippe
14 Owren, Brynjulf
14 Paternoster, Beatrice
14 Vigo-Aguiar, Jesus
13 Baker, Christopher T. H.
13 Enright, Wayne H.
13 Lötstedt, Per
13 Papageorgiou, George
13 Van de Vyver, Hans
13 Wang, Bin
12 Chen, Ruyun
12 Famelis, Ioannis Th.
12 Khaliq, Abdul Q. M.
12 Li, Jiyong
12 Moreno-Balcázar, Juan José
12 Spijker, Marc N.
12 Zennaro, Marino
11 Barrio, Roberto
11 De Meyer, Hans E.
11 Murua, Ander
11 Rößler, Andreas
11 Senu, Norazak
11 Sharapudinov, Idris Idrisovich
11 Vermiglio, Rossana
11 Zanna, Antonella
10 Boscarino, Sebastiano
10 Duran, Angel
10 González-Pinto, Severiano
10 Huang, Chengming
10 Ismail, Fudziah Bt.
10 Leok, Melvin
10 Martín-Vaquero, Jesús
10 Munthe-Kaas, Hans Z.
10 Podhaisky, Helmut
10 Schmitt, Bernhard A.
10 Tian, Hongjiong
10 Vaillancourt, Rémi
9 Auzinger, Winfried
9 Bader, Philipp
9 Cano, Begoña
9 Celledoni, Elena
9 D’Ambrosio, Raffaele
9 Hartmann, Stefan
9 Hojjati, Gholamreza
9 Huybrechs, Daan
9 Jator, Samuel N.
9 Ketcheson, David I.
9 Koch, Othmar
9 Kohaupt, Ludwig G.
9 Laburta, María Pilar
9 Liu, Mingzhu
9 Nguyen huu Cong
9 Piñar, Miguel A.
9 Russo, Giovanni
9 Verwer, Jan G.
8 Anastassi, Zacharias A.
8 Bulatov, Mikhail Valer’yanovich
8 Conte, Dajana
8 Deaño, Alfredo
8 Ebrahimi-Fard, Kurusch
8 Higham, Desmond J.
8 Jackson, Kenneth R.
8 Kang, Hongchao
8 Magherini, Cecilia
...and 3,052 more Authors
all top 5

Cited in 328 Serials

384 Journal of Computational and Applied Mathematics
294 Applied Numerical Mathematics
174 BIT
156 Applied Mathematics and Computation
107 Journal of Computational Physics
100 Computers & Mathematics with Applications
92 Numerical Algorithms
88 Numerische Mathematik
65 Mathematics of Computation
52 Journal of Scientific Computing
46 Computer Methods in Applied Mechanics and Engineering
44 International Journal of Computer Mathematics
42 Computer Physics Communications
35 Computing
33 SIAM Journal on Scientific Computing
28 SIAM Journal on Numerical Analysis
26 Journal of Approximation Theory
24 Foundations of Computational Mathematics
23 Celestial Mechanics and Dynamical Astronomy
22 Applied Mathematics Letters
21 Journal of Mathematical Analysis and Applications
21 BIT. Nordisk Tidskrift for Informationsbehandling
19 Mathematical and Computer Modelling
19 Advances in Computational Mathematics
18 Physics Letters. A
18 Journal of Mathematical Chemistry
17 International Journal for Numerical Methods in Engineering
16 Mathematical Problems in Engineering
15 Physica D
14 Mathematics and Computers in Simulation
14 Computational Mathematics and Mathematical Physics
14 Discrete and Continuous Dynamical Systems
13 Calcolo
13 Computational and Applied Mathematics
13 Multibody System Dynamics
11 Acta Applicandae Mathematicae
11 Japan Journal of Industrial and Applied Mathematics
11 Communications in Nonlinear Science and Numerical Simulation
11 Differential Equations
10 Computers and Fluids
10 Applied Mathematical Modelling
10 Engineering Analysis with Boundary Elements
10 Journal of Difference Equations and Applications
9 Chaos, Solitons and Fractals
9 Journal of Complexity
9 Abstract and Applied Analysis
9 Journal of Applied Mathematics
8 Journal of Differential Equations
8 Regular and Chaotic Dynamics
8 International Journal of Modern Physics C
8 Advances in Difference Equations
7 Numerical Functional Analysis and Optimization
7 Computational Mechanics
7 Statistics and Computing
6 Journal of Mathematical Biology
6 Mathematical Biosciences
6 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
6 Journal of Optimization Theory and Applications
6 Constructive Approximation
6 Numerical Methods for Partial Differential Equations
6 Linear Algebra and its Applications
6 Communications in Numerical Methods in Engineering
6 Nonlinear Dynamics
6 European Journal of Mechanics. B. Fluids
6 Discrete and Continuous Dynamical Systems. Series B
6 Computational Methods in Applied Mathematics
6 Journal of Applied Mathematics and Computing
5 Journal of Mathematical Physics
5 Systems & Control Letters
5 Journal of Integral Equations and Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Mathematical Sciences (New York)
5 Optimization Methods & Software
5 Acta Numerica
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Computational Dynamics
4 International Journal of Control
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Molecular Simulation
4 Bulletin of Mathematical Biology
4 Automatica
4 Applied Mathematics and Mechanics. (English Edition)
4 SIAM Journal on Matrix Analysis and Applications
4 Indagationes Mathematicae. New Series
4 Journal of Nonlinear Science
4 Integral Transforms and Special Functions
4 Vietnam Journal of Mathematics
4 Discrete Dynamics in Nature and Society
4 Matematicheskoe Modelirovanie
4 Multiscale Modeling & Simulation
4 Frontiers of Mathematics in China
4 Advances in Mathematical Physics
4 Afrika Matematika
3 Acta Mechanica
3 International Journal for Numerical Methods in Fluids
3 Journal of the Mechanics and Physics of Solids
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Proceedings of the American Mathematical Society
...and 228 more Serials
all top 5

Cited in 54 Fields

2,249 Numerical analysis (65-XX)
1,070 Ordinary differential equations (34-XX)
364 Partial differential equations (35-XX)
227 Dynamical systems and ergodic theory (37-XX)
198 Mechanics of particles and systems (70-XX)
141 Approximations and expansions (41-XX)
130 Harmonic analysis on Euclidean spaces (42-XX)
128 Fluid mechanics (76-XX)
124 Integral equations (45-XX)
107 Special functions (33-XX)
98 Probability theory and stochastic processes (60-XX)
84 Biology and other natural sciences (92-XX)
83 Mechanics of deformable solids (74-XX)
63 Systems theory; control (93-XX)
56 Quantum theory (81-XX)
44 Calculus of variations and optimal control; optimization (49-XX)
43 Optics, electromagnetic theory (78-XX)
41 Computer science (68-XX)
38 Statistical mechanics, structure of matter (82-XX)
30 Operator theory (47-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Classical thermodynamics, heat transfer (80-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
22 Statistics (62-XX)
22 Operations research, mathematical programming (90-XX)
20 Real functions (26-XX)
18 Functional analysis (46-XX)
18 Information and communication theory, circuits (94-XX)
16 Combinatorics (05-XX)
16 Functions of a complex variable (30-XX)
16 Differential geometry (53-XX)
15 Topological groups, Lie groups (22-XX)
15 Integral transforms, operational calculus (44-XX)
14 History and biography (01-XX)
14 Difference and functional equations (39-XX)
13 Nonassociative rings and algebras (17-XX)
12 Geophysics (86-XX)
11 Astronomy and astrophysics (85-XX)
9 Relativity and gravitational theory (83-XX)
6 Associative rings and algebras (16-XX)
5 Number theory (11-XX)
5 Algebraic geometry (14-XX)
5 Global analysis, analysis on manifolds (58-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 General topology (54-XX)

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