2014

• Nørsett, Syvert Paul; Asheim, Andreas. (2014) Regarding the absolute stability of Størmer-Cowell methods. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
  Academic article

2013

• Condon, M.; Iserles, A; Nørsett, Syvert Paul. (2013) Differential equations with general highly oscillatory forcing terms. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. volum 470 (2161).
  Academic article
• Nørsett, Syvert Paul; Asheim, Andreas. (2013) REGARDING THE ABSOLUTE STABILITY OF STORMER-COWELL METHODS. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
  Academic article

2012

• Adcock, Ben; Iserles, Arieh; Nørsett, Syvert Paul. (2012) From high oscillation to rapid approximation II: expansions in Birkhoff series. IMA Journal of Numerical Analysis. volum 32 (1).
  Academic article

2011

• Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert Paul. (2011) From high oscillation to rapid approximation IV: accelerating convergence. IMA Journal of Numerical Analysis. volum 31 (2).
  Academic article
• Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert Paul. (2011) From high oscillation to rapid approximation V: the equilateral triangle. IMA Journal of Numerical Analysis. volum 31 (3).
  Academic article
• Nørsett, Syvert Paul; Brunner, Hermann; Iserles, Arieh. (2011) The Computation of the Spectra of highly oscillatory Fredholm integral operators. Journal of Integral Equations and Applications. volum 23 (4).
  Academic article

2010

• Nørsett, Syvert Paul; Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh. (2010) On the singular values and eigenvalues of the Fox-Li and related operators. New York journal of mathematics.
  Academic article
• Nørsett, Syvert Paul; Brunner, Hermann; Iserles, Arieh. (2010) The spectral problem for a class of highly oscillatory Fredholm integral operators. IMA Journal of Numerical Analysis. volum 30 (1).
  Academic article
• Nørsett, Syvert Paul; Huybrechs, Daan; Iserles, Arieh. (2010) From high oscillation to rapid approximation V: the equilateral triangle. IMA Journal of Numerical Analysis.
  Academic article

2009

• Iserles, A; Nørsett, Syvert Paul. (2009) From high oscillation to rapid approximation III: multivariate expansions. IMA Journal of Numerical Analysis. volum 29 (4).
  Academic article

2008

• Nørsett, Syvert Paul; Iserles, Arieh. (2008) From high oscillation to rapid approximation I: modified Fourier expansions. IMA Journal of Numerical Analysis.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (2008) From high oscillation to rapid approximation III: multivariate expansions. IMA Journal of Numerical Analysis.
  Academic article

2006

• Iserles, A.; Nørsett, Syvert Paul. (2006) On the computation of highly oscillatory multivariate integrals with stationary points. BIT Numerical Mathematics. volum 46 (3).
  Academic article
• Iserles, Arieh; Nørsett, Syvert Paul. (2006) Quadrature methods for multivariate highly oscillatory integrals using derivatives. Mathematics of Computation. volum 75 (255).
  Academic article

2005

• Nørsett, Syvert Paul; Iserles, A.. (2005) Efficient quadrature of highly oscillatory integrals using derivatives. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. volum 461.
  Academic article

2004

• Nørsett, Syvert Paul; Iserles, A.. (2004) On quadrature methods for highly oscillatort integrals and their implementation. BIT Numerical Mathematics. volum 44 (3).
  Academic article

2001

• Nørsett, Syvert Paul; Iserles, Arieh; Rasmussen, A. F.. (2001) Time symmetry and high-order Magnus methods. Applied Numerical Mathematics. volum 39.
  Academic article

2000

• Nørsett, Syvert Paul; Iserles, Arieh; Munthe-Kaas, Hans; Zanna, A.. (2000) Lie-group methods. Acta Numerica.
  Academic article

1999

• Nørsett, Syvert Paul; Iserles, Arieh; Marthinsen, Arne. (1999) On the implementation of the method of Magnus series for linear differential equations. BIT Numerical Mathematics.
  Academic article

1997

• Nørsett, Syvert Paul; Iserles, Arieh. (1997) Biorthogonal polynomials and zero-mapping transformations. Computers and Mathematics with Applications. volum 33.
  Academic article

1996

• Nørsett, Syvert Paul. (1996) Dual-orthogonal polynomials. Numerical Algorithms. volum 11.
  Academic article
• Nørsett, Syvert Paul; Burrage, K.; Jackiewicz, Z.; Renaut, R.A.. (1996) Preconditioning waveform relaxatoion iterations for differential systems. BIT Numerical Mathematics.
  Academic article
• Nørsett, Syvert Paul; Kværnø, Anne; Jackson, Ken R.. (1996) An Analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values. BIT Numerical Mathematics.
  Academic article
• Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics. volum 22.
  Academic article

1995

• Nørsett, Syvert Paul; Iserles, Arieh. (1995) Explicit representations of biorthogonal polynomials. Numerical Algorithms. volum 10.
  Academic article
• Nørsett, Syvert Paul; Jackson, Ken R.. (1995) The potential for parallelism in Runge-Kutta methods. Part 1: RK Formulas in standard form. SIAM Journal on Numerical Analysis. volum 32.
  Academic article

1994

• Nørsett, Syvert Paul. (1994) Biorthogonal polynomials in numerical ODEs. Annals of Numerical Mathematics. volum 1.
  Academic article
• Nørsett, Syvert Paul; Jackson, Ken R.; Kværnø, Anne. (1994) The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas. Applied Numerical Mathematics. volum 15 (3).
  Academic article
• Pettersen, Bjørnar; Nørsett, Syvert Paul; Natvig, Lasse; Sørli, Karstein. (1994) Computational Science and Engineering at the University of Trondheim. 1994.
  Report

1993

• Nørsett, Syvert Paul; Iserles, Arieh; Buhmann, M. D.. (1993) Runge-Kutta methods for neutral differential equations. Contributions in Numerical Mathematics.
  Academic chapter/article/Conference paper

1992

• Nørsett, Syvert Paul; Iserles, Arieh. (1992) Parallel Runge-Kutta methods. Computational Ordinary Differential Equations.
  Academic chapter/article/Conference paper

1991

• Nørsett, Syvert Paul; Iserles, Arieh. (1991) Order stars. 1991. ISBN 0412352605.
  Academic monograph
• Nørsett, Syvert Paul; Iserles, Arieh; Koch, P. E.; Sanz-Serna, J. M.. (1991) On polynomials orthogonal with respect to certain Sobolev inner products. Journal of Approximation Theory. volum 65.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh; Saff, E. B.. (1991) On transformations and zeroes of polynomials. Rocky Mountain Journal of Mathematics. volum 21.
  Academic article

1990

• Nørsett, Syvert Paul; Iserles, Arieh. (1990) On the theory of parallel Runge-Kutta methods. SIAM Journal on Numerical Analysis. volum 19.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1990) Zeros of transformed polynomials. SIAM Journal on Mathematical Analysis. volum 21.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.. (1990) Orthogonality and approximation in a Sobolev space. Algorithms for Approximations.
  Academic chapter/article/Conference paper

1989

• Nørsett, Syvert Paul; Iserles, Arieh. (1989) Christoffel-Darboux-type formulas and a recurrence for biorthogonal polynomials. Constructive approximation. volum 5.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1989) Order stars and rational approximants to $\exp(z)$. Applied Numerical Mathematics. volum 5.
  Academic article
• Nørsett, Syvert Paul; Lie, Ivar. (1989) Superconvergence for multistep collocation. Mathematics of Computation. volum 52.
  Academic article

1988

• Nørsett, Syvert Paul; Iserles, Arieh. (1988) On the theory of bi-orthogonal polynomials. Transactions of the American Mathematical Society. volum 306.
  Academic article
• Nørsett, Syvert Paul; Jackson, Ken R.; Thomsen, P. G.; Enright, W. H.. (1988) Effective solution of discontinuous IVP's using a Runge-Kutta formula pair with interpolants. Applied Mathematics and Computation. volum 27.
  Academic article

1987

• Nørsett, Syvert Paul. (1987) Aspects of parallel Runge-Kutta methods. Lecture notes in mathematics.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1987) Bi-orthogonality and zeroes of transformed polynomials. Journal of Computational and Applied Mathematics. volum 19.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1987) Two-step methods and bi-orthogonality. Mathematics of Computation. volum 49.
  Academic article

1986

• Nørsett, Syvert Paul. (1986) Exponential fitting of restricted rational approximation to the exponential function. Rational Approximation and Interpolation.
  Academic chapter/article/Conference paper
• Nørsett, Syvert Paul; Iserles, Arieh. (1986) Error control of rational approximations to the exponential function. Constructive approximation. volum 2.
  Academic article
• Nørsett, Syvert Paul; Thomsen, P. G.. (1986) Local error control in SDIRK. BIT Numerical Mathematics. volum 26.
  Academic article
• Nørsett, Syvert Paul; Thomsen, P. G.. (1986) Switching between modified Newton and fix-point iteration for implicit ODE-solvers. BIT Numerical Mathematics. volum 26.
  Academic article
• Nørsett, Syvert Paul; Thomsen, P. G.; Enright, W. H.; Jackson, K. R.. (1986) Interpolants for Runge-Kutta formulas. ACM Transactions on Mathematical Software. volum 12.
  Academic article
• Nørsett, Syvert Paul; Trickett, S. R.. (1986) Order-constrained uniform approximations to the exponential based on estricted rationals. Constructive approximation. volum 2.
  Academic article

1985

• Nørsett, Syvert Paul. (1985) The numerical solution of differential and differential/algebraic systems. Proceedings of the IASTED International Conference on Modelling, Identification, and Control (MIC). volum 6.
  Academic article
• Nørsett, Syvert Paul; Hairer, Ernst; Iserles, Arieh. (1985) Rational approximations to the exponential function with two complex conjugate interpolation points. SIAM Journal on Mathematical Analysis. volum 16.
  Academic article
• Nørsett, Syvert Paul; Houbak, N.; Thomsen, P. G.. (1985) Displacement or residual test in the application of implicit methods for stiff problems. SIAM Journal on Numerical Analysis. volum 5.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1985) A-acceptability of derivatives of rational approximations to $\exp(z)$. Journal of Approximation Theory.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1985) Bi-orthogonal polynomials. Lecture notes in mathematics.
  Academic article

1984

• Nørsett, Syvert Paul. (1984) Splines and collocation for ordinary initial value problems. Approximation Theory and Spline Functions.
  Academic chapter/article/Conference paper
• Nørsett, Syvert Paul; Thomsen, P. G.. (1984) Embedded SDIRK-methods of basic order three. BIT Numerical Mathematics. volum 24.
  Academic article

1983

• Nørsett, Syvert Paul; Hairer, Ernst; Lubich, Christian. (1983) Order of convergence of one-step methods for Volterra integral equations of the second kind. SIAM Journal on Numerical Analysis. volum 29.
  Academic article
• Nørsett, Syvert Paul; Iserles, Arieh. (1983) Frequency fitting of rational approximations to the exponential function. Mathematics of Computation. volum 40.
  Academic article

1981

• Nørsett, Syvert Paul. (1981) Superconvergence of collocation methods for Volterra and Abel equations of the second kind. Journal of Numerical Mathematics. volum 36.
  Academic article
• Nørsett, Syvert Paul; Wanner, Gerhard. (1981) Perturbed collocation and Runge--Kutta methods. Journal of Numerical Mathematics. volum 36.
  Academic article

1979

• Nørsett, Syvert Paul. (1979) Collocation and perturbed collocation methods. Lecture notes in mathematics.
  Academic article
• Nørsett, Syvert Paul; Wanner, Gerhard. (1979) The real-pole sandwich for rational approximations and oscillation equations. BIT Numerical Mathematics. volum 19.
  Academic article
• Nørsett, Syvert Paul; Wolbrandt, Arne. (1979) Order conditions for Rosenbrock type methods. Journal of Numerical Mathematics. volum 32.
  Academic article

1978

• Nørsett, Syvert Paul. (1978) Restricted Padé approximations to the exponential function. SIAM Journal on Numerical Analysis. volum 15.
  Academic article
• Nørsett, Syvert Paul; Hairer, Ernst; Wanner, Gerhard. (1978) Order stars and stability theorems. BIT Numerical Mathematics. volum 18.
  Academic article

1977

• Nørsett, Syvert Paul; Arne, Wolbrandt. (1977) Attainable order of rational approximations to the exponential function with real poles. BIT Numerical Mathematics. volum 17.
  Academic article

1976

• Nørsett, Syvert Paul. (1976) Runge--Kutta methods with a multiple real eigenvalue only. BIT Numerical Mathematics. volum 16.
  Academic article

1975

• Nørsett, Syvert Paul. (1975) A note on local Galerkin and collocation methods for ordinary differential equations. Utilitas mathematica. volum 7.
  Academic article
• Nørsett, Syvert Paul. (1975) C-polynomials for rational approximation to the exponential function. Journal of Numerical Mathematics. volum 25.
  Academic article

1974

• Nørsett, Syvert Paul. (1974) One-step methods of Hermite type for numerical integration of stiff systems. BIT Numerical Mathematics. volum 14.
  Academic article

1969

• Nørsett, Syvert Paul. (1969) A criterion for A(\alpha)-stability of linear multistep method. BIT Numerical Mathematics. volum 9.
  Academic article
• Nørsett, Syvert Paul. (1969) A-stable modification of the Adams-Bashforth methods. Lecture notes in mathematics.
  Academic article