Edit Profile Nørsett, Syvert Paul Compute Distance To: Compute Author ID: norsett.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 all top 5 Co-Authors 11 single-authored 43 Iserles, Arieh 9 Hairer, Ernst 8 Wanner, Gerhard 6 Brunner, Hermann 6 Thomsen, Per Grove 5 Jackson, Kenneth R. 3 Kvaerno, Anne 2 Enright, Wayne H. 2 Huybrechs, Daan 2 Koch, Per Erik 2 Orel, Bojan 2 Sanz-Serna, Jesús María 2 Trickett, Stewart R. 2 Wolfbrandt, Arne 1 Adcock, Ben 1 Asheim, Andreas 1 Böttcher, Albrecht 1 Buhmann, Martin Dietrich 1 Burrage, Kevin 1 Celledoni, Elena 1 Condon, Marissa 1 Houbak, Niels 1 Jackiewicz, Zdzislaw 1 Lie, Ivar 1 Lubich, Christian 1 Marthinsen, Arne 1 Munthe-Kaas, Hans Z. 1 Olver, Sheehan Shakiban 1 Østigård, Bente 1 Owren, Brynjulf 1 Powell, Michael James David 1 Rasmussen, Atgeirr Flø 1 Renaut, Rosemary Anne 1 Saff, Edward Barry 1 Simonsen, Harald H. 1 Wolkenfelt, Paul H. M. 1 Zanna, Antonella all top 5 Serials 9 BIT 8 IMA Journal of Numerical Analysis 8 BIT. Nordisk Tidskrift for Informationsbehandling 5 Mathematics of Computation 5 Applied Numerical Mathematics 4 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Constructive Approximation 3 Springer Series in Computational Mathematics 2 Journal of Approximation Theory 2 Numerical Algorithms 2 SIAM Journal on Mathematical Analysis 2 Annals of Numerical Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computers & Mathematics with Applications 1 Rocky Mountain Journal of Mathematics 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Transactions of the American Mathematical Society 1 Utilitas Mathematica 1 Journal of Complexity 1 Journal of Integral Equations and Applications 1 The New York Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Skrifter. Det Kongelige Norske Videnskabers Selskab 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Foundations of Computational Mathematics 1 Applied Mathematics and Mathematical Computation all top 5 Fields 67 Numerical analysis (65-XX) 31 Ordinary differential equations (34-XX) 24 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Special functions (33-XX) 6 Integral equations (45-XX) 4 Real functions (26-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications 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 0789.65048Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard 1,212 1993 Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard 537 1987 Lie-group methods. Zbl 1064.65147Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella 155 2000 Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309Iserles, Arieh; Nørsett, Syvert P. 139 2005 Order stars and stability theorems. Zbl 0444.65039Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P. 110 1978 Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard 104 2010 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 97 1999 On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M. 95 1991 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025Iserles, A.; Nørsett, S. P. 90 2004 Interpolants for Runge-Kutta formulas. Zbl 0617.65068Enright, 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 0826.65073Jackson, K. R.; Nørsett, S. P. 53 1995 One-step methods of Hermite type for numerical integration of stiff systems. Zbl 0278.65078Nørsett, Syvert P. 48 1974 The real-pole sandwich for rational approximations and oscillation equations. Zbl 0413.65011Nørsett, Syvert P.; Wanner, Gerhard 42 1979 C-polynomials for rational approximation to the exponential function. Zbl 0299.65010Nørsett, Syvert P. 37 1975 Perturbed collocation and Runge-Kutta methods. Zbl 0471.65045Nørsett, Syvert P.; Wanner, Gerhard 36 1981 Attainable order of rational approximations to the exponential function with only real poles. Zbl 0361.41011Nørsett, Syvert P.; Wolfbrandt, Arne 36 1977 Runge-Kutta theory for Volterra integral equations of the second kind. Zbl 0496.65066Brunner, Hermann; Hairer, Ernst; Nørsett, Syvert P. 31 1982 Order conditions for Rosenbrock type methods. Zbl 0471.65044Nørsett, Syvert P.; Wolfbrandt, Arne 31 1979 From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348Iserles, Arieh; Nørsett, Syvert P. 27 2008 Runge-Kutta methods with a multiple real eigenvalue only. Zbl 0345.65036Nørsett, Syvert P. 26 1976 On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077Iserles, A.; Marthinsen, A.; Nørsett, S. P. 25 1999 On the theory of parallel Runge-Kutta methods. Zbl 0712.65071Iserles, Arieh; Nørsett, Syvert P. 25 1990 Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019Iserles, Arieh; Nørsett, Syvert P. 23 2006 Restricted Padé approximations to the exponential function. Zbl 0405.41009Nørsett, Syvert P. 23 1978 Highly oscillatory quadrature: the story so far. Zbl 1119.65317Iserles, A.; Nørsett, S. P.; Olver, S. 22 2006 Aspects of parallel Runge-Kutta methods. Zbl 0683.65057Nørsett, Syvert P.; Simonsen, Harald H. 22 1989 Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind. Zbl 0442.65125Brunner, Hermann; Nørsett, Syvert P. 22 1981 Order of convergence of one-step methods for Volterra integral equations of the second kind. Zbl 0519.65088Hairer, Ernst; Lubich, Ch.; Nørsett, Syvert P. 21 1983 Superconvergence for multistep collocation. Zbl 0658.65063Lie, Ivar; Nørsett, Syvert P. 20 1989 An A-stable modification of the Adam-Bashforth methods. Zbl 0188.22502Nørsett, Syvert P. 20 1969 Runge-Kutta methods for neutral differential equations. Zbl 0834.65061Buhmann, M. D.; Iserles, A.; Nørsett, S. P. 17 1993 Orthogonality and approximation in a Sobolev space. Zbl 0749.41030Iserles, 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 1185.45002Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 16 2010 Order stars. Zbl 0743.65062Iserles, Arieh; Nørsett, Syvert P. 16 1991 From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149Iserles, Arieh; Nørsett, Syvert P. 15 2009 Embedded SDIRK-methods of basic order three. Zbl 0554.65053Nørsett, Syvert P.; Thomsen, Per G. 14 1984 A criterion for \(A(\alpha)\)-stability of linear multistep methods. Zbl 0185.41701Nørsett, Syvert P. 14 1969 On the theory of biorthogonal polynomials. Zbl 0662.42017Iserles, Arieh; Nørsett, Syvert P. 13 1988 Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants. Zbl 0651.65058Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, P. G. 13 1988 Local error control in SDIRK-methods. Zbl 0627.65082Nørsett, Syvert P.; Thomsen, Per G. 13 1986 On transformations and zeros of polynomials. Zbl 0754.26007Iserles, 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 0435.65103Brunner, Hermann; Nørsett, Syvert P.; Wolkenfelt, P. H. M. 12 1980 From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 10 2011 On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020Iserles, A.; Nørsett, S. P. 10 2006 Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A. 10 1996 Order stars and rational approximants to exp(z). Zbl 0674.65043Iserles, 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 0864.65051Jackson, K. R.; Kværnø, A.; Nørsett, S. P. 8 1996 Zeros of transformed polynomials. Zbl 0698.33007Iserles, Arieh; Nørsett, Syvert P. 8 1990 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123Brunner, 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 0817.65060Jackson, K. R.; Kværnø, A.; Nørsett, Syvert P. 7 1994 Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022Iserles, Arieh; Nørsett, Syvert P. 7 1987 Displacement or residual test in the application of implicit methods for stiff problems. Zbl 0579.65070Houbak, Niels; Nørsett, Syvert P.; Thomsen, Per Grove 6 1985 A note on local Galerkin and collocation methods for ordinary differential equations. Zbl 0321.65047Nørsett, Syvert P. 6 1975 From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 5 2011 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 5 2010 Time symmetry and high-order Magnus methods. Zbl 0996.65071Iserles, A.; Nørsett, S. P.; Rasmussen, A. F. 5 2001 Bi-orthogonal polynomials. Zbl 0578.42019Iserles, Arieh; Nørsett, Syvert P. 5 1985 Collocation and perturbed collocation methods. Zbl 0447.65043Nørsett, Syvert P. 5 1980 Parallel Runge-Kutta methods. Zbl 0767.65061Iserles, Arieh; Nørsett, Syvert P. 4 1992 Two-step methods and bi-orthogonality. Zbl 0632.65080Iserles, Arieh; Nørsett, Syvert P. 4 1987 From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P. 3 2012 Runge-Kutta research in Trondheim. Zbl 0870.65064Kværnø, A.; Nørsett, S. P.; Owren, B. 3 1996 Christoffel-Darboux-type formulae and a recurrence for biorthogonal polynomials. Zbl 0676.42025Iserles, Arieh; Nørsett, Syvert P. 3 1989 Switching between modified Newton and fix-point iteration for implicit ODE-solvers. Zbl 0602.65052Nørsett, Syvert P.; Thomsen, Per G. 3 1986 When I-stability implies A-stability. Zbl 0444.65040Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P. 3 1978 Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083Condon, M.; Iserles, A.; Nørsett, S. P. 2 2014 Biorthogonal polynomials and zero-mapping transformations. Zbl 0867.33004Iserles, A.; Nørsett, S. P. 2 1997 Biorthogonal polynomials in numerical ODEs. Zbl 0824.65046Iserles, Arieh; Nørsett, Syvert P. 2 1994 Exponential fitting of restricted rational approximations to the exponential function. Zbl 0578.41019Nørsett, Syvert P.; Trickett, Stewart R. 2 1984 A proof of the first Dahlquist barrier by order stars. Zbl 0574.65086Iserles, Arieh; Nørsett, Syvert P. 2 1984 Explicit representations of biorthogonal polynomials. Zbl 0833.42013Iserles, Arieh; Nørsett, Syvert P. 1 1995 Error control of rational approximations to the exponential function. Zbl 0597.41015Iserles, Arieh; Nørsett, Syvert P. 1 1986 Rational approximations to the exponential function with two complex conjugate interpolation points. Zbl 0599.30063Hairer, Ernst; Iserles, Arieh; Nørsett, Syvert P. 1 1985 A-acceptability of derivatives of rational approximations to EXP(Z). Zbl 0583.41017Iserles, Arieh; Nørsett, Syvert P. 1 1985 Splines and collocation for ordinary initial value problems. Zbl 0559.34010Nørsett, Syvert P. 1 1984 Frequency fitting of rational approximations to the exponential function. Zbl 0516.41013Iserles, Arieh; Nørsett, Syvert P. 1 1983 When I-stability implies A-stability. Zbl 0432.34033Wanner, 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 0385.76053Nørsett, Syvert P. 1 1978 Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083Condon, M.; Iserles, A.; Nørsett, S. P. 2 2014 From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P. 3 2012 From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 10 2011 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2011 From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 5 2011 Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard 104 2010 The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 16 2010 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 5 2010 From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149Iserles, Arieh; Nørsett, Syvert P. 15 2009 From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348Iserles, Arieh; Nørsett, Syvert P. 27 2008 Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019Iserles, Arieh; Nørsett, Syvert P. 23 2006 Highly oscillatory quadrature: the story so far. Zbl 1119.65317Iserles, A.; Nørsett, S. P.; Olver, S. 22 2006 On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020Iserles, A.; Nørsett, S. P. 10 2006 Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309Iserles, Arieh; Nørsett, Syvert P. 139 2005 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025Iserles, A.; Nørsett, S. P. 90 2004 Time symmetry and high-order Magnus methods. Zbl 0996.65071Iserles, A.; Nørsett, S. P.; Rasmussen, A. F. 5 2001 Lie-group methods. Zbl 1064.65147Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella 155 2000 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 97 1999 On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077Iserles, A.; Marthinsen, A.; Nørsett, S. P. 25 1999 Biorthogonal polynomials and zero-mapping transformations. Zbl 0867.33004Iserles, A.; Nørsett, S. P. 2 1997 Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049Burrage, 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 0864.65051Jackson, K. R.; Kværnø, A.; Nørsett, S. P. 8 1996 Runge-Kutta research in Trondheim. Zbl 0870.65064Kværnø, A.; Nørsett, S. P.; Owren, B. 3 1996 The potential for parallelism in Runge-Kutta methods. I: RK formulas in standard form. Zbl 0826.65073Jackson, K. R.; Nørsett, S. P. 53 1995 Explicit representations of biorthogonal polynomials. Zbl 0833.42013Iserles, Arieh; Nørsett, Syvert P. 1 1995 The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas. Zbl 0817.65060Jackson, K. R.; Kværnø, A.; Nørsett, Syvert P. 7 1994 Biorthogonal polynomials in numerical ODEs. Zbl 0824.65046Iserles, Arieh; Nørsett, Syvert P. 2 1994 Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard 1,212 1993 Runge-Kutta methods for neutral differential equations. Zbl 0834.65061Buhmann, M. D.; Iserles, A.; Nørsett, S. P. 17 1993 Parallel Runge-Kutta methods. Zbl 0767.65061Iserles, Arieh; Nørsett, Syvert P. 4 1992 On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M. 95 1991 Order stars. Zbl 0743.65062Iserles, Arieh; Nørsett, Syvert P. 16 1991 On transformations and zeros of polynomials. Zbl 0754.26007Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B. 12 1991 On the theory of parallel Runge-Kutta methods. Zbl 0712.65071Iserles, Arieh; Nørsett, Syvert P. 25 1990 Orthogonality and approximation in a Sobolev space. Zbl 0749.41030Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P. 17 1990 Zeros of transformed polynomials. Zbl 0698.33007Iserles, Arieh; Nørsett, Syvert P. 8 1990 Aspects of parallel Runge-Kutta methods. Zbl 0683.65057Nørsett, Syvert P.; Simonsen, Harald H. 22 1989 Superconvergence for multistep collocation. Zbl 0658.65063Lie, Ivar; Nørsett, Syvert P. 20 1989 Order stars and rational approximants to exp(z). Zbl 0674.65043Iserles, Arieh; Nørsett, Syvert P. 9 1989 Christoffel-Darboux-type formulae and a recurrence for biorthogonal polynomials. Zbl 0676.42025Iserles, Arieh; Nørsett, Syvert P. 3 1989 On the theory of biorthogonal polynomials. Zbl 0662.42017Iserles, Arieh; Nørsett, Syvert P. 13 1988 Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants. Zbl 0651.65058Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, P. G. 13 1988 Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard 537 1987 Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022Iserles, Arieh; Nørsett, Syvert P. 7 1987 Two-step methods and bi-orthogonality. Zbl 0632.65080Iserles, Arieh; Nørsett, Syvert P. 4 1987 Interpolants for Runge-Kutta formulas. Zbl 0617.65068Enright, W. H.; Jackson, K. R.; Nørsett, Syvert P.; Thomsen, Per G. 74 1986 Local error control in SDIRK-methods. Zbl 0627.65082Nørsett, Syvert P.; Thomsen, Per G. 13 1986 Switching between modified Newton and fix-point iteration for implicit ODE-solvers. Zbl 0602.65052Nørsett, Syvert P.; Thomsen, Per G. 3 1986 Error control of rational approximations to the exponential function. Zbl 0597.41015Iserles, Arieh; Nørsett, Syvert P. 1 1986 Displacement or residual test in the application of implicit methods for stiff problems. Zbl 0579.65070Houbak, Niels; Nørsett, Syvert P.; Thomsen, Per Grove 6 1985 Bi-orthogonal polynomials. Zbl 0578.42019Iserles, Arieh; Nørsett, Syvert P. 5 1985 Rational approximations to the exponential function with two complex conjugate interpolation points. Zbl 0599.30063Hairer, Ernst; Iserles, Arieh; Nørsett, Syvert P. 1 1985 A-acceptability of derivatives of rational approximations to EXP(Z). Zbl 0583.41017Iserles, Arieh; Nørsett, Syvert P. 1 1985 Embedded SDIRK-methods of basic order three. Zbl 0554.65053Nørsett, Syvert P.; Thomsen, Per G. 14 1984 Exponential fitting of restricted rational approximations to the exponential function. Zbl 0578.41019Nørsett, Syvert P.; Trickett, Stewart R. 2 1984 A proof of the first Dahlquist barrier by order stars. Zbl 0574.65086Iserles, Arieh; Nørsett, Syvert P. 2 1984 Splines and collocation for ordinary initial value problems. Zbl 0559.34010Nørsett, Syvert P. 1 1984 Order of convergence of one-step methods for Volterra integral equations of the second kind. Zbl 0519.65088Hairer, Ernst; Lubich, Ch.; Nørsett, Syvert P. 21 1983 Frequency fitting of rational approximations to the exponential function. Zbl 0516.41013Iserles, Arieh; Nørsett, Syvert P. 1 1983 Runge-Kutta theory for Volterra integral equations of the second kind. Zbl 0496.65066Brunner, Hermann; Hairer, Ernst; Nørsett, Syvert P. 31 1982 Perturbed collocation and Runge-Kutta methods. Zbl 0471.65045Nørsett, Syvert P.; Wanner, Gerhard 36 1981 Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind. Zbl 0442.65125Brunner, Hermann; Nørsett, Syvert P. 22 1981 On \(V_0\)-stability of numerical methods for Volterra integral equations of the second kind. Zbl 0435.65103Brunner, Hermann; Nørsett, Syvert P.; Wolkenfelt, P. H. M. 12 1980 Collocation and perturbed collocation methods. Zbl 0447.65043Nørsett, Syvert P. 5 1980 The real-pole sandwich for rational approximations and oscillation equations. Zbl 0413.65011Nørsett, Syvert P.; Wanner, Gerhard 42 1979 Order conditions for Rosenbrock type methods. Zbl 0471.65044Nørsett, Syvert P.; Wolfbrandt, Arne 31 1979 Order stars and stability theorems. Zbl 0444.65039Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P. 110 1978 Restricted Padé approximations to the exponential function. Zbl 0405.41009Nørsett, Syvert P. 23 1978 When I-stability implies A-stability. Zbl 0444.65040Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P. 3 1978 When I-stability implies A-stability. Zbl 0432.34033Wanner, 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 0385.76053Nørsett, Syvert P. 1 1978 Attainable order of rational approximations to the exponential function with only real poles. Zbl 0361.41011Nørsett, Syvert P.; Wolfbrandt, Arne 36 1977 Runge-Kutta methods with a multiple real eigenvalue only. Zbl 0345.65036Nørsett, Syvert P. 26 1976 C-polynomials for rational approximation to the exponential function. Zbl 0299.65010Nørsett, Syvert P. 37 1975 A note on local Galerkin and collocation methods for ordinary differential equations. Zbl 0321.65047Nørsett, Syvert P. 6 1975 One-step methods of Hermite type for numerical integration of stiff systems. Zbl 0278.65078Nørsett, Syvert P. 48 1974 An A-stable modification of the Adam-Bashforth methods. Zbl 0188.22502Nørsett, Syvert P. 20 1969 A criterion for \(A(\alpha)\)-stability of linear multistep methods. Zbl 0185.41701Nørsett, Syvert P. 14 1969 all cited Publications top 5 cited Publications 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) Citations by Year Wikidata Timeline