Recent articles Willem Hundsdorfer
(For a full list, including older papers, see
all articles.)
Journals
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W. Hundsdorfer, A. Mozartova and M. N. Spijker,
Stepsize Restrictions for Boundedness and Monotonicity of
Multistep Methods,
J. Sci. Comput. 50 (2012), 265-286.
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Chao Li, U. Ebert, W. Hundsdorfer,
Spatially hybrid computations for streamer discharges: II.
Fully 3D simulations,
J. Comput. Phys. 231 (2012), 1020-1050.
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W. Hundsdorfer, A. Mozartova and M. N. Spijker,
Special boundedness properties in numerical initial value problems,
BIT Numer. Math. 51 (2011), 909-936
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Chao Li, U. Ebert, W. Hundsdorfer,
Simulated avalanche formation around streamers in an overvolted air gap,
IEEE Trans. Plasma Sci. 39 (2011), 2256-2257.
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U. Ebert, F. Brau, G. Derks, W. Hundsdorfer, C.-Y. Kao, C. Li, A. Luque,
B. Meulenbroek, S. Nijdam, V. Ratushnaya, L. Schäfer, S. Tanveer,
Multiple scales in streamer discharges, with an emphasis on moving
boundary approximations,
Nonlinearity 24 (2011), C1-C26.
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C. Li, U. Ebert, W. Hundsdorfer,
Spatially hybrid computations for streamer discharges with generic features
of pulled fronts: I. Planar fronts,
J. Comput. Phys. 229 (2010), 200-220. [
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W. Hundsdorfer, A. Mozartova, M.N. Spijker,
Stepsize Conditions for Boundedness in Numerical Initial Value Problems,
Siam J. Numer. Anal. 47 (2009), 3797-3819 [
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W. Hundsdorfer, V. Savcenco,
Analysis of a multirate theta-method for stiff ODEs,
Appl. Num. Math. 59 (2009), 693-706. [
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C. Li, U. Ebert, W. Hundsdorfer,
3D hybrid computations for streamer discharges and production of
run-away electrons,
J. Phys. D: Appl. Phys. 42, 202003 (5p) (2009). [
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A. Luque, U. Ebert, W. Hundsdorfer,
Interaction of streamer discharges in air and other oxygen-nitrogen
mixtures,
Phys. Rev. Lett. 101, 075005 (2008).
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W. Hundsdorfer, S.J. Ruuth,
IMEX extensions of linear multistep methods with general monotonicity
and boundedness properties,
J. Comput. Phys. 225 (2007), 2016--2042.
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V. Savcenco, W. Hundsdorfer, J.G. Verwer,
A Multirate Time Stepping Strategy for Stiff ODEs,
BIT Numer. Math. 47 (2007), 137--155.
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W. Hundsdorfer, L. Portero,
A Note on Iterated Splitting Schemes,
J. Comp. Appl. Math. 201 (2007), 146--152.
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A. Luque, U. Ebert, C. Montijn, W. Hundsdorfer,
Photoionisation in negative streamers: fast computations and two
propagation modes,
Appl. Phys. Lett. 90, 081501 (2007).
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C. Montijn, W. Hundsdorfer, U. Ebert,
An adaptive grid refinement strategy for the simulation of
negative streamers,
J. Comput. Phys. 219 (2006), 801--835.
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N.N. Pham Thi, W. Hundsdorfer, B.P. Sommeijer,
Positivity for explicit two-step methods in linear multistep and
one-leg form,
BIT Numer. Math. 46 (2006), 875--882.
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W. Hundsdorfer, S.J. Ruuth,
On monotonicity and boundedness properties of linear multistep
methods,
Math. Comp. 75 (2006), 655-672.
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C. Montijn, U. Ebert, W. Hundsdorfer,
Numerical convergence of the branching time of negative streamers,
Phys. Rev. E 73, 065401 (2006)
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U. Ebert, C. Montijn, T.M.P. Briels, W. Hundsdorfer, B. Meulenbroek,
A. Rocco, E.M. van Veldhuizen,
The multiscale nature of streamers,
Plasma Sources Science and Technology 15 (2006), S118-S129.
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S.J. Ruuth, W. Hundsdorfer,
High-order linear multistep methods with general monotonicity and
boundedness properties,
J. Comput. Phys. 209 (2005), 226-248.
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C. Montijn, B. Meulenbroek, U. Ebert, W. Hundsdorfer,
Numerical simulations and conformal mapping analysis of growing and
branching negative discharge streamers,
IEEE Trans. Plasma Sci. 33 (2005), 260-261.
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J.G. Verwer, B.P. Sommeijer, W. Hundsdorfer,
RKC time-stepping for advection-diffusion-reaction problems,
J. Comput. Phys. 201 (2004), 61-79.
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W. Hundsdorfer, C. Montijn,
A note on flux limiting for diffusion equations,
IMA J. Numer. Anal. 24 (2004), 635-642.
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W. Hundsdorfer , S.J. Ruuth , R.J. Spiteri ,
Monotonicity-preserving linear multistep methods,
SIAM J. Num. Anal. 41, 605-623 (2003).
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W. Hundsdorfer , J. Jaffré ,
Implicit-explicit time stepping with spatial discontinuous
finite elements,
Appl. Num. Math. 45, 231-254 (2003).
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Proceedings
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U. Ebert, C. Montijn, T.M.P. Briels, W. Hundsdorfer, B. Meulenbroek,
A. Rocco, E.M. van Veldhuizen,
The multiscale nature of streamers.
Plasma Sources Science and Technology 15, S118-S129 (2006).
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C. Montijn, U. Ebert, W. Hundsdorfer,
Adaptive grid simulations of negative streamers in nitrogen in under-
and overvolted gaps,
Proceedings XXVII'th ICPIG 2005.
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W. Hundsdorfer, S.J. Ruuth,
Monotonicity for Time Discretizations,
Procs. Dundee Conference 2003, Eds. D.F. Griffiths, G.A. Watson,
Report NA/217, Univ. of Dundee, 2003.
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