@article {leemput:1234,
	title = {Mesoscale Analysis of the Equation-Free Constrained Runs Initialization Scheme},
	journal = {Multiscale Modeling \& Simulation},
	volume = {6},
	number = {4},
	year = {2008},
	pages = {1234-1255},
	publisher = {SIAM},
	keywords = {initialization; lifting; equation-free computing; lattice Boltzmann model},
	url = {http://link.aip.org/link/?MMS/6/1234/1},
	author = {Pieter Van Leemput and Wim Vanroose and Dirk Roose}
}
@article {horner2007rnm,
	title = {Role of Nuclear Motion in Double Ionization of Molecular Hydrogen by a Single Photon},
	journal = {Physical Review Letters},
	volume = {98},
	number = {7},
	year = {2007},
	pages = {73001},
	publisher = {APS},
	author = {Horner, D.A. and Vanroose, W. and Rescigno, T.N. and Mart{\'\i}n, F. and McCurdy, C.W.}
}
@article {leemput:838,
	title = {Accuracy of Hybrid Lattice {Boltzmann}/Finite Difference Schemes for Reaction-Diffusion Systems},
	journal = {Multiscale Modeling \& Simulation},
	volume = {6},
	number = {3},
	year = {2007},
	pages = {838-857},
	publisher = {SIAM},
	keywords = {accuracy; spatial discretization error; hybrid model; lattice Boltzmann; finite difference; spatial coupling; constrained runs},
	url = {http://link.aip.org/link/?MMS/6/838/1},
	author = {Pieter Van Leemput and Christophe Vandekerckhove and Wim Vanroose and Dirk Roose}
}
@article {rescigno2007fps,
	title = {First principles study of double photoionization of H2 using exterior complex scaling},
	journal = {Journal of Electron Spectroscopy and Related Phenomena},
	volume = {161},
	number = {1-3},
	year = {2007},
	pages = {85--89},
	publisher = {Elsevier},
	author = {Rescigno, T.N. and Vanroose, W. and Horner, D.A. and Mart{\'\i}n, F. and McCurdy, C.W.}
}
@article {inthout2007a,
	title = {Stability of {ADI} schemes applied to convection-diffusion equations with mixed derivative terms},
	journal = {Appl. Numer. Math.},
	volume = {57},
	year = {2007},
	pages = {19--35},
	abstract = {We consider Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection--diffusion equations with cross derivative terms. We derive new linear stability results for three ADI schemes that have previously been studied in the literature. These results are subsequently used to show that the ADI schemes under consideration are unconditionally stable when applied to finite difference discretizations of general parabolic two-dimensional convection--diffusion equations. Supporting numerical evidence is included.},
	author = {K.J. in {\textquoteright}t Hout and B.D. Welfert}
}
@article {inthout2007b,
	title = {{ADI} schemes in the numerical solution of the {Heston PDE}},
	journal = {Numerical Analysis and Applied Mathematics, eds. T. E. Simos et. al., AIP Conf. Proc.},
	volume = {936},
	year = {2007},
	pages = {10--14},
	author = {Karel in {\textquoteright}t Hout}
}
@article {inthout2007c,
	title = {A semi closed-form analytic pricing formula for call options in a hybrid {Heston--Hull--White} model},
	journal = {Proceedings of the 58th European Study Group Mathematics with Industry, eds. R.H. Bisseling et. al., Utrecht},
	year = {2007},
	pages = {101-105},
	author = {Karel in {\textquoteright}t Hout and Joris Bierkens and Antoine P.C. van der Ploeg and Jos in {\textquoteright}t panhuis}
}
@article {vanleemput2006naa,
	title = {Numerical and analytical spatial coupling of a lattice {Boltzmann} model and a partial differential equation},
	journal = {Model Reduction and Coarse-graining Approaches for Multiscale Phenomena, Springer Lecture Series. Springer},
	year = {2006},
	publisher = {Springer},
	author = {Van Leemput, P. and Vanroose, W. and Roose, D.}
}
@article {vanroose2006dpa,
	title = {Double photoionization of aligned molecular hydrogen},
	journal = {Physical Review A},
	volume = {74},
	number = {5},
	year = {2006},
	pages = {52702},
	publisher = {APS},
	author = {Vanroose, W. and Horner, D.A. and Mart{\'\i}n, F. and Rescigno, T.N. and McCurdy, C.W.}
}
@article {vanroose2005cpi,
	title = {Complete Photo-Induced Breakup of the H2 Molecule as a Probe of Molecular Electron Correlation},
	journal = {Science},
	volume = {310},
	number = {5755},
	year = {2005},
	pages = {1787--1789},
	publisher = {American Association for the Advancement of Science},
	author = {Vanroose, W. and Martin, F. and Rescigno, T.N. and McCurdy, C.W.}
}
@article {broeckhove2004mjm,
	title = {The modified $J$-matrix method for short range potentials},
	journal = {Journal of Physics A Mathematical and General},
	volume = {37},
	number = {31},
	year = {2004},
	pages = {7769--7781},
	author = {Broeckhove, J. and Arickx, F. and Vanroose, W. and Vasilevsky, V.S.}
}
@article {vanroose2004ntd,
	title = {Nonperturbative theory of double photoionization of the hydrogen molecule},
	journal = {Physical Review A},
	volume = {70},
	number = {5},
	year = {2004},
	pages = {50703},
	publisher = {APS},
	author = {Vanroose, W. and Mart{\'\i}n, F. and Rescigno, T.N. and McCurdy, C.W.}
}
@article {vanroose2004tve,
	title = {Threshold Vibrational Excitation of {C02} by Slow Electrons},
	journal = {Physical Review Letters},
	volume = {92},
	number = {5},
	year = {2004},
	pages = {53201},
	publisher = {APS},
	author = {Vanroose, W. and Zhang, Z. and McCurdy, C.W. and Rescigno, T.N.}
}
@article {zhang2004lee,
	title = {Low-energy electron scattering of {NO}: Ab initio analysis of the $3\Sigma^-$, $^1\Delta$ and $^1\Sigma^+$ shape resonances in the local complex potential model},
	journal = {Physical Review A},
	volume = {69},
	number = {6},
	year = {2004},
	pages = {62711},
	publisher = {APS},
	author = {Zhang, Z. and Vanroose, W. and McCurdy, C.W. and Orel, A.E. and Rescigno, T.N.}
}
@article {broeckhove2004mjm,
	title = {The modified $J$-matrix method for short range potentials},
	journal = {Journal of Physics A Mathematical and General},
	volume = {37},
	number = {31},
	year = {2004},
	pages = {7769--7781},
	author = {Broeckhove, J. and Arickx, F. and Vanroose, W. and Vasilevsky, V.S.}
}
@article {vanroose2004tve,
	title = {Threshold Vibrational Excitation of {C02} by Slow Electrons},
	journal = {Physical Review Letters},
	volume = {92},
	number = {5},
	year = {2004},
	pages = {53201},
	publisher = {APS},
	author = {Vanroose, W. and Zhang, Z. and McCurdy, C.W. and Rescigno, T.N.}
}
@article {zhang2004lee,
	title = {Low-energy electron scattering of {NO}: Ab initio analysis of the $3\Sigma^-$, $^1\Delta$ and $^1\Sigma^+$ shape resonances in the local complex potential model},
	journal = {Physical Review A},
	volume = {69},
	number = {6},
	year = {2004},
	pages = {62711},
	publisher = {APS},
	author = {Zhang, Z. and Vanroose, W. and McCurdy, C.W. and Orel, A.E. and Rescigno, T.N.}
}
@article {inthout2004,
	title = {The stability of {Radau IIA} collocation processes for delay differential equations},
	journal = {Math. Comp. Mod.},
	volume = {40},
	year = {2004},
	pages = {1297--1308},
	author = {K.J. in {\textquoteright}t Hout and B. Zubik-Kowal}
}
@article {vanroose2003sse,
	title = {Scattering of slow electrons by polar molecules: Application of effective-range potential theory to {HCl}},
	journal = {Physical Review A},
	volume = {68},
	number = {5},
	year = {2003},
	pages = {52713},
	publisher = {APS},
	author = {Vanroose, W. and McCurdy, C.W. and Rescigno, T.N.}
}
@article {vanroose2003sse,
	title = {Scattering of slow electrons by polar molecules: Application of effective-range potential theory to {HCl}},
	journal = {Physical Review A},
	volume = {68},
	number = {5},
	year = {2003},
	pages = {52713},
	publisher = {APS},
	author = {Vanroose, W. and McCurdy, C.W. and Rescigno, T.N.}
}
@article {inthout2003,
	title = {Analysis of error growth via stability regions in numerical initial value problems},
	journal = {BIT},
	volume = {43},
	year = {2003},
	pages = {363--385},
	author = {K.J. in {\textquoteright}t Hout and M.N. Spijker}
}
@article {arickx2002mjm,
	title = {The modified $J$-matrix approach applied to three-cluster systems},
	journal = {Challenges of Nuclear Structure: Proceedings of the 7th International Spring Seminar on Nuclear Physics, Maiori, Italy, 27-31 May 2001},
	year = {2002},
	publisher = {World Scientific},
	author = {Arickx, F. and Broeckhove, J. and Vanroose, W. and Vasilevsky, V. and Nesterov, A.}
}
@article {arickx2002sfh,
	title = {The $S$-factor for the ^3H(^3H,2n)^4He and ^3He(^3He, 2p)^4He reactions using a three-cluster exit-channel},
	journal = {Nuclear Physics at Border Lines: Proceedings of the International Conference, Lipari, Italy, 21--24 May 2001},
	year = {2002},
	publisher = {World Scientific},
	author = {Arickx, F. and Broeckhove, J. and Vanroose, W. and Vasilevsky, V. and Nesterov, A.}
}
@article {vanroose2002ile,
	title = {Interpretation of low-energy electron-{CO2} scattering},
	journal = {Physical Review A},
	volume = {66},
	number = {3},
	year = {2002},
	pages = {32720},
	publisher = {APS},
	author = {Vanroose, W. and McCurdy, C.W. and Rescigno, T.N.}
}
@article {arickx2002mjm,
	title = {The modified $J$-matrix approach applied to three-cluster systems},
	journal = {Challenges of Nuclear Structure: Proceedings of the 7th International Spring Seminar on Nuclear Physics, Maiori, Italy, 27-31 May 2001},
	year = {2002},
	publisher = {World Scientific},
	author = {Arickx, F. and Broeckhove, J. and Vanroose, W. and Vasilevsky, V. and Nesterov, A.}
}
@article {arickx2002sfh,
	title = {The $S$-factor for the ^3H(^3H,2n)^4He and ^3He(^3He, 2p)^4He reactions using a three-cluster exit-channel},
	journal = {Nuclear Physics at Border Lines: Proceedings of the International Conference, Lipari, Italy, 21--24 May 2001},
	year = {2002},
	publisher = {World Scientific},
	author = {Arickx, F. and Broeckhove, J. and Vanroose, W. and Vasilevsky, V. and Nesterov, A.}
}
@article {vanroose2002ile,
	title = {Interpretation of low-energy electron-{CO2} scattering},
	journal = {Physical Review A},
	volume = {66},
	number = {3},
	year = {2002},
	pages = {32720},
	publisher = {APS},
	author = {Vanroose, W. and McCurdy, C.W. and Rescigno, T.N.}
}
@article {inthout2002,
	title = {On the contractivity of implicit-explicit linear multistep methods},
	journal = {Appl. Numer. Math.},
	volume = {42},
	year = {2002},
	pages = {201--212},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {vanroose2001dps,
	title = {Double pole of the $S$ matrix in a double-well system},
	journal = {Physical Review A},
	volume = {64},
	number = {6},
	year = {2001},
	pages = {62708},
	publisher = {APS},
	author = {Vanroose, W.}
}
@article {vanroose2001mjm,
	title = {Modified $J$-Matrix Method for Scattering},
	journal = {Physical Review Letters},
	volume = {88},
	number = {1},
	year = {2001},
	pages = {10404},
	publisher = {APS},
	author = {Vanroose, W. and Broeckhove, J. and Arickx, F.}
}
@article {vanroose2001dps,
	title = {Double pole of the $S$ matrix in a double-well system},
	journal = {Physical Review A},
	volume = {64},
	number = {6},
	year = {2001},
	pages = {62708},
	publisher = {APS},
	author = {Vanroose, W.}
}
@article {vanroose2001mjm,
	title = {Modified $J$-Matrix Method for Scattering},
	journal = {Physical Review Letters},
	volume = {88},
	number = {1},
	year = {2001},
	pages = {10404},
	publisher = {APS},
	author = {Vanroose, W. and Broeckhove, J. and Arickx, F.}
}
@article {inthout2001,
	title = {Convergence of {Runge--Kutta methods} for delay differential equations},
	journal = {BIT},
	volume = {41},
	year = {2001},
	pages = {322--344},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout2000,
	title = {Collocation methods for the computation of periodic solutions of delay differential equations},
	journal = {SIAM J. Sc. Comp.},
	volume = {22},
	year = {2000},
	pages = {1593--1609},
	author = {K. Engelborghs and T. Luzyanina and K.J. in {\textquoteright}t Hout and Roose, D.}
}
@article {inthout1998,
	title = {Periodic orbits of delay differential equations under discretization},
	journal = {BIT},
	volume = {38},
	year = {1998},
	pages = {72--91},
	author = {K.J. in {\textquoteright}t Hout and Ch. Lubich}
}
@article {vanroose1997dps,
	title = {Double poles of the $S$-matrix in a two-channel model},
	journal = {Journal of Physics A: Mathematical and General},
	volume = {30},
	number = {15},
	year = {1997},
	pages = {5543--5549},
	publisher = {Institute of Physics Publishing},
	author = {Vanroose, W. and Van Leuven, P. and Arickx, F. and Broeckhove, J.}
}
@article {vanroose1997dps,
	title = {Double poles of the $S$-matrix in a two-channel model},
	journal = {Journal of Physics A: Mathematical and General},
	volume = {30},
	number = {15},
	year = {1997},
	pages = {5543--5549},
	publisher = {Institute of Physics Publishing},
	author = {Vanroose, W. and Van Leuven, P. and Arickx, F. and Broeckhove, J.}
}
@article {inthout1997,
	title = {Stability analysis of {Runge--Kutta} methods for systems of delay differential equations},
	journal = {IMA J. Numer. Anal.},
	volume = {17},
	year = {1997},
	pages = {17--27},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1996a,
	title = {A note on unconditional maximum norm contractivity of diagonally split {Runge--Kutta} methods},
	journal = {SIAM J. Numer. Anal.},
	volume = {33},
	year = {1996},
	pages = {1125--1134},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1996b,
	title = {On the stability of adaptations of {Runge--Kutta} methods to systems of delay differential equations},
	journal = {Appl. Numer. Math.},
	volume = {22},
	year = {1996},
	pages = {237--250},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1995,
	title = {On the convergence of waveform relaxation methods for stiff nonlinear ordinary differential equations},
	journal = {Appl. Numer. Math.},
	volume = {18},
	year = {1995},
	pages = {175--190},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1994,
	title = {The stability of $\theta$-methods for systems of delay differential equations},
	journal = {Ann. of Numer. Math.},
	volume = {1},
	year = {1994},
	pages = {323-334},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1992a,
	title = {The stability of a class of {Runge--Kutta} methods for delay differential equations},
	journal = {Appl. Numer. Math.},
	volume = {9},
	year = {1992},
	pages = {347--355},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1992b,
	title = {A new interpolation procedure for adapting {Runge--Kutta} methods to delay differential equations},
	journal = {BIT},
	volume = {32},
	year = {1992},
	pages = {634--649},
	author = {K.J. in {\textquoteright}t Hout}
}
@article {inthout1991a,
	title = {The $\theta$-methods in the numerical solution of delay differential equations},
	journal = {The Numerical Treatment of Differential Equations, ed. K. Strehmel, Teubner-Texte zur Mathematik},
	volume = {121},
	year = {1991},
	pages = {61--67},
	author = {K.J. in {\textquoteright}t Hout and M.N. Spijker}
}
@article {inthout1991b,
	title = {Stability analysis of numerical methods for delay differential equations},
	journal = {Numer. Math.},
	volume = {59},
	year = {1991},
	pages = {807--814},
	author = {K.J. in {\textquoteright}t Hout and M.N. Spijker}
}