G
Gustaf Söderlind
Researcher at Lund University
Publications - 56
Citations - 2219
Gustaf Söderlind is an academic researcher from Lund University. The author has contributed to research in topics: Runge–Kutta methods & Ode. The author has an hindex of 23, co-authored 55 publications receiving 2017 citations. Previous affiliations of Gustaf Söderlind include Simón Bolívar University & Royal Institute of Technology.
Papers
More filters
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Index reduction in differential-algebraic equations using dummy derivatives
TL;DR: A new index reduction algorithm for DAEs is developed that yields results with an accuracy comparable to that obtained for the corresponding state-space ODE.
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The logarithmic norm. History and modern theory
TL;DR: The concept of stability and error bounds in initial value problems was introduced by Dahlquist as mentioned in this paper, who defined the logarithmic norm in order to derive error bounds for nonlinear maps and unbounded operators.
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A PI stepsize control for the numerical solution of ordinary differential equations
TL;DR: In this article, a control-theoretic approach is used to design a new automatic stepsize control algorithm for the numerical integration of ODE's, which is more robust at little extra expense.
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Automatic control and adaptive time-stepping
TL;DR: This paper reviews the recent advances in developing local adaptivity algorithms based on well established techniques from linear feedback control theory, which is introduced in a numerical context and results in a more consistent and robust performance.
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Digital filters in adaptive time-stepping
TL;DR: Simulations verify the controllers' ability to produce stepsize sequences resulting in improved regularity and computational stability.