Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Anne Kværnø"'
Publikováno v:
Hydrology Research, Vol 54, Iss 11, Pp 1432-1450 (2023)
Aquifer thermal energy storage (ATES) systems offer reduced energy costs, lower carbon emissions, and increased energy resilience. The feasibility, however, depends on several factors and usually require optimization. We study an ATES system with inj
Externí odkaz:
https://doaj.org/article/ad4d95dd650744bb9b4260194f466a3d
Publikováno v:
Debrabant, K, Kværnø, A & Mattsson, N C 2021, ' Runge–Kutta Lawson schemes for stochastic differential equations ', BIT Numerical Mathematics, vol. 61, no. 2, pp. 381-409 . https://doi.org/10.1007/s10543-020-00839-8
In this paper, we present a framework to construct general stochastic Runge–Kutta Lawson schemes. We prove that the schemes inherit the consistency and convergence properties of the underlying Runge–Kutta scheme, and confirm this in some numerica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3749dba765fd2ec9de501c1efff39ae1
https://doi.org/10.1007/s10543-020-00839-8
https://doi.org/10.1007/s10543-020-00839-8
Publikováno v:
BIT Numerical Mathematics
In this paper, we consider a class of stochastic midpoint and trapezoidal Lawson schemes for the numerical discretization of highly oscillatory stochastic differen- tial equations. These Lawson schemes incorporate both the linear drift and diffusion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb2a193902f16100339e0b97efc78386
https://hdl.handle.net/11250/3053095
https://hdl.handle.net/11250/3053095
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783319964140
We discuss stochastic differential equations with a stiff linear part and their approximation by stochastic exponential Runge–Kutta integrators. Representing the exact and approximate solutions using B-series and rooted trees, we derive the order c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d1100581183f405fdeae9043e233060
https://doi.org/10.1007/978-3-319-96415-7_37
https://doi.org/10.1007/978-3-319-96415-7_37
The paper discusses analytical and numerical radial solutions of the differential equations for heat transport in water-saturated porous media. In particular, a similarity solution is obtained for a 2D-horizontal confined aquifer with constant radial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee0cec8919e787f1711d54806454eafd
https://www.hydrol-earth-syst-sci-discuss.net/hess-2017-303/
https://www.hydrol-earth-syst-sci-discuss.net/hess-2017-303/
Publikováno v:
Hydrology Research. 46:721-734
The main purpose of this paper is to present a robust forward model for simulating extraction and storage of thermal energy in an aquifer. The model is a local three-dimensional finite element model with boundary conditions derived from an analytic l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::150fb0b98559061bb0dc715f277af4b2
https://doi.org/10.2166/nh.2015.119
https://doi.org/10.2166/nh.2015.119
Autor:
Sverre Anmarkrud, Anne Kværnø
Publikováno v:
Journal of Computational and Applied Mathematics
In this paper we prove that for a stochastic Runge–Kutta method, the conditions for preserving quadratic invariants work as simplifying assumptions. For such methods, the method coefficients only have to satisfy one condition for each unrooted tree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36ae9998674598540abe4a3b3e5d20ee
https://hdl.handle.net/11250/2480186
https://hdl.handle.net/11250/2480186
Autor:
Anne Kværnø, Markus Brunk
Publikováno v:
Applied Numerical Mathematics. 62:1289-1301
Positivity preserving discretization of the semiconductor drift-diffusion equations is considered. The equations are spatially discretized by mixed hybrid finite elements leading to a positive ODE or DAE system with index of at most one. For time dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f02f6c1665058ee40019ba1d3e69fc19
https://doi.org/10.1016/j.apnum.2012.06.016
https://doi.org/10.1016/j.apnum.2012.06.016
Autor:
J. H. Verner, Anne Kværnø
Publikováno v:
Numerical Algorithms. 59:487-504
The representation of order conditions for general linear methods formulated using an algebraic theory by Butcher, and the alternative using B-series by Hairer and Wanner for treating vector initial value problems in ordinary differential equations a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bb5dcd3246179de6ef41c61ab619a9a
https://doi.org/10.1007/s11075-011-9500-7
https://doi.org/10.1007/s11075-011-9500-7
Publikováno v:
BIT Numerical Mathematics. 52:437-455
The paper deals with the numerical treatment of stochastic differential-algebraic equations of index one with a scalar driving Wiener process. Therefore, a particularly customized stochastic Runge-Kutta method is introduced. Order conditions for conv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3ceaf08557487915a555225fcd02f98
https://doi.org/10.1007/s10543-011-0354-0
https://doi.org/10.1007/s10543-011-0354-0