Publications by Gustaf Söderlind before 2000
- Hans Olsson, G.
Söderlind: Stage value
predictors and efficient Newton iterations in implicit Runge-Kutta methods.
SISC 20 (1999) 185-202.
- G. Söderlind: The automatic control of numerical
integration. CWI Quarterly 11:1
(1998) 55-74.
- J.J.B. de Swart, G.
Söderlind: On the construction
of error estimators for implicit Runge-Kutta methods. J. Comp. and
Appl. Math. 86 (1997) 347-358.
- C. Arévalo, C.
Führer, G. Söderlind: Beta-blocked
Multistep Methods for Euler Lagrange DAEs: Linear Analysis, ZAMM 77 (1997), 609-617.
- K. Gustafsson, G.
Söderlind: Control Strategies for the Iterative Solution of
Nonlinear Equations in ODE Solvers, SISC 18 (1997) 23-40.
- G. Söderlind: Computational mathematics - a change
for the better? Presented at Uppsala University Nov. 1996. Preprint
available on request.
- C. Arévalo, C.
Führer, G. Söderlind: Stabilized
Multistep Methods for Index 2 Euler-Lagrange DAEs, BIT Numerical
Mathematics 36 (1996) 1-13.
- C. Arévalo, G.
Söderlind: Convergence of
Multistep Discretizations of DAEs, BIT Numerical Mathematics 35 (1995) 143-168.
- S. E. Mattsson, G.
Söderlind: Index Reduction in
DAEs using Dummy Derivatives, SISC 14 (1993) 677-692.
- A. Iserles, G.
Söderlind: Global Bounds on
Numerical Error for Ordinary Differential Equations, J. Complexity 9 (1993) 97-112.
- S. E. Mattsson, G.
Söderlind: A new technique for
solving high-index differential-algebraic equations. Proc. 1992 IEEE
Symposium on Computer-Aided Control System Design, CADCS '92, March
17--19, 1992, Napa, California, 218--224.
- G. Söderlind: Remarks on the Stability of High-Index
DAEs with Respect to Parametric Perturbations, Computing 49 (1992) 303-314.
- G. Söderlind: An introduction to stiff differential
equations with comments on methods, problems and implementations.
Lecture notes, University of Kaiserslautern 1989.
- K. Gustafsson, M. Lundh and
G. Söderlind: A PI stepsize
control for the numerical integration of ordinary differential equations.
BIT 28 (1988) 270-287.
- G. Söderlind: Some industrial problems in dynamic
simulation. Proc. of the 1st European Symposium on Mathematics in
Industry, ESMI 1985, eds. M. Hazewinkel, R.M.M. Mattheij and E.W.C. van
Groesen, pp. 143-152. B.G. Teubner 1988.
- G. Söderlind: A modular system for the integration of
ordinary differential equations. Appl. Math. Comp. 31 (1989) 346-360.
- R.M.M. Mattheij and G.
Söderlind: On inhomogeneous
eigenvalue problems I. J. Lin. Alg. Appl. 88/89 (1987) 507-531.
- G. Söderlind: Bounds on nonlinear operators in
finite-dimensional Banach spaces. Numer. Math. 50 (1986) 27-44.
- G. Söderlind: On nonlinear difference and
differential equations. BIT 24
(1984) 667-680.
- G. Söderlind: An error bound for fixed-point
iterations. BIT 24 (1984),
391-393.
- G. Söderlind and
R.M.M. Mattheij. Stability and
asymptotic estimates in non-autonomous linear differential systems.
SIAM J. Math. Anal. 16 (1985),
69-92.
- G. Dahlquist and G.
Söderlind: Some problems
related to stiff differential systems. In Computing methods in applied
sciences and engineering, eds. R. Glowinski and J.L. Lions, North-Holland
1982.
- G. Dahlquist, L. Edsberg,
G. Sköllermo and G. Söderlind: Are the numerical methods and software satisfactory for chemical
kinetics? In Numerical integration of differential equations and large
linear systems, ed. J. Hinze, Springer 1982.