Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Gustaf Söderlind"'
Publikováno v:
PERIOD MATH HUNG PERIODICA MATHEMATICA HUNGARICA.
In the numerical integration of nonlinear autonomous initial value problems, the computational process depends on the step size scaled vector field hf as a distinct entity. This paper considers a parameterized transformation $$\begin{aligned} hf \map
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d866433a6adda793190a7d097e7033f6
http://hdl.handle.net/10831/89979
http://hdl.handle.net/10831/89979
Publikováno v:
Numerical Algorithms. 86:537-563
In a k-step adaptive linear multistep methods the coefficients depend on the k − 1 most recent step size ratios. In a similar way, both the actual and the estimated local error will depend on these step ratios. The classical error model has been th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63d194529549c6ba084cdb02dab57aaf
https://doi.org/10.1007/s11075-020-00900-1
https://doi.org/10.1007/s11075-020-00900-1
Publikováno v:
ACM Transactions on Mathematical Software. 46:1-17
We present a software package, M odes , offering h -adaptive and p -adaptive linear multistep methods for first order initial value problems in ordinary differential equations. The implementation is based on a new parametric, grid-independent represe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c332228fe6af80dc595253b7d2fcc215
https://doi.org/10.1145/3372159
https://doi.org/10.1145/3372159
Autor:
Gustaf Söderlind
This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems. Complementing the usual operator norm, the logar
Autor:
Ivo Babuška, Gustaf Söderlind
Publikováno v:
ACM Transactions on Mathematical Software. 44:1-22
Large-scale linear systems arise in finite-difference and finite-element discretizations of elliptic problems. With increasing computer performance, ever larger systems are solved using direct methods. How large can such systems be without roundoff c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b3c6644c1a5834643b13a299c380aa8
https://doi.org/10.1145/3134444
https://doi.org/10.1145/3134444
Autor:
Gustaf Söderlind, Carmen Arévalo
Publikováno v:
Journal of Computational Mathematics; 35, pp 672-692 (2017)
A new polynomial formulation of variable step size linear multistep methods is presented, where each k-step method is characterized by a fixed set of k-1 or k parameters. This construction includes all methods of maximal order (p=k for stiff, and p=k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17491d8e7a8409027bccf551fa090008
https://doi.org/10.4208/jcm.1611-m2015-0404
https://doi.org/10.4208/jcm.1611-m2015-0404
Autor:
Marcus Carlsson, Mikael Kanski, Gustaf Söderlind, Rasmus Borgquist, Johan Revstedt, Sándor J. Kovács, Johannes Töger, Per M. Arvidsson, Einar Heiberg, Håkan Arheden
Publikováno v:
Journal of Magnetic Resonance Imaging. 43:1386-1397
To present and validate a new method for 4D flow quantification of vortex-ring mixing during early, rapid filling of the left ventricle (LV) as a potential index of diastolic dysfunction and heart failure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2173a60f5484433a87d310c9ef406e8
https://doi.org/10.1002/jmri.25111
https://doi.org/10.1002/jmri.25111
Publikováno v:
BIT BIT NUMERICAL MATHEMATICS.
In order to be convergent, linear multistep methods must be zero stable. While constant step size theory was established in the 1950's, zero stability on nonuniform grids is less well understood. Here we investigate zero stability on compact interval
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70496e02dfb6c35ba39e1c7c65c0ce30
http://hdl.handle.net/10831/66858
http://hdl.handle.net/10831/66858
Publikováno v:
BIT Numerical Mathematics. 55:531-558
Although stiff differential equations is a mature area of research in scientific computing, a rigorous and computationally relevant characterization of stiffness is still missing. In this paper, we present a critical review of the historical developm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73f811cf64b5481d213af94ca9d74de1
https://doi.org/10.1007/s10543-014-0503-3
https://doi.org/10.1007/s10543-014-0503-3
Autor:
Gustaf Söderlind, Arjun Singh Yadaw
Publikováno v:
Applied Mathematics and Computation. 218:6045-6055
This paper develops a semi-analytic technique for generating smooth nonuniform grids for the numerical solution of singularly perturbed two-point boundary value problems. It is based on the usual idea of mapping a uniform grid to the desired nonunifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1e76a2903b3d88506192ebe9b1044ba
https://doi.org/10.1016/j.amc.2011.11.086
https://doi.org/10.1016/j.amc.2011.11.086