# Publications

### Journal Publications

[1]

A.J. Christlieb, W.N.G. Hitchon and E. Keiter, “

*A Computational Investigation of the Effects of Varying Discharge Geometry for Inductively Coupled Plasmas*”, IEEE Transactions on Plasma Science, 28 (6): 2214-2231 DEC 2000[2]

A.J. Christlieb and W.N.G. Hitchon, “

*Three-Dimensional Solutions of the Boltzmann Equation: Heat Transport at Long Mean Free Paths*”, Physical Review E, 65 (5): Art. No. 056708 Part 2 MAY 2002[3]

A.J. Christlieb, W.N.G. Hitchon, I.D. Boyd and Q. Sun, “

*Kinetic Description of Flow Past a Micro-Plate*”, Journal of Computational Physics, 195 (2): 508-52 APR 2004[4]

A.J. Christlieb, R. Krasny and J.P. Verboncoeur, “

*Efficient Particle Simulation of a Virtual Cathode using a Grid-Free Treecode Poisson Solver*”, IEEE Transactions on Plasma Science, 32 (2): 384-389 Part 1 APR 2004[5]

A.J. Christlieb, J.A. Rossmanith and P. Smereka, “

*The Broadwell Model in a Thin Channel*”, Communications in Mathematical Sciences, 2: 443-476, 2004[6]

A.J. Christlieb, R. Krasny and J.P. Verboncoeur, “

*A Treecode Algorithm for Simulating Electron Dynamics in a Penning-Malmberg Trap*”, Computer Physics Communications, 164: 306-310, 2004[7]

A.J. Christlieb, R. Krasny, J.P. Verboncoeur, J. Emhoff and I.D. Boyd , “

*Grid-Free Plasma Simulation Techniques*”, IEEE Trans. on Plasma Science, 34 (2): 149-165 Part 1 APR 2006[8]

A. VanderWyst, A.J. Christlieb, M. Sussman, and I.D. Boyd, “

*Simulation of Liquid Metal Droplets from Field Emission*”, Comm. in Computational Physics 2(4): 640-661, 2007. 4 of 13 A.J. Christlieb[9]

S. Olson and A.J. Christlieb, “

*Grid-Free Direct Simulation Monte Carlo*”, Journal of Computational Physics 22717, 8035-8064, 2008[10]

A.J. Christlieb, B. Ong and J. Qiu, “

*Integral Deferred Correction Methods Constructed with High Order Runge-Kutta Methods*”, to appear AMS–Mathematics of Computation[11]

A.J. Christlieb, B. Ong and J. Qiu, “

*Comments on High Order Integrators Embedded within Integral Deferred Correction Methods*”, Communications in Applied Math and Computational Science,41, 27–56, 2009[12]

A.J. Christlieb, W.N.G. Hitchon, J.E. Lawler and G.G. Lister, “

*Integral and Lagrangian Simulations of Particle and Radiation Transport in Plasma*”, Journal of Physics D: Applied Physics. 42 (2009) 194007

[13]

J. Qiu and A.J. Christlieb, “

*A Conservative high order semi-Lagrangian method for the Vlasov Equation*”, accepted - Journal of Computational Physics[14]

A.J. Christlieb, C.B. Macdonald and B. Ong, “

*Parallel High-Order Integrators*”, accepted - SIAM Journal on Scientific Computing[15]

S. Olson, A.J. Christlieb and Fredrik Fatemi, “

*A Parallel Implementation of Grid-Free Direct Simulation Monte Carlo*”, in revision for Computer Physics Communications[16]

A.J. Christlieb, M. Morton, B. Ong and J. Qiu, “

*Semi-Implicet Integral Deferred Correction Constructed with High Order Additive Runge-Kutta Methods*”, submitted[17]

K. Cartwright, A.J. Christlieb and B. Ong, “

*Regularized Potentials and Resulting Errors in Boundary Integral Solutions of Poisson’s Equation*”, submitted

### Conference Papers

[1]

A.J. Christlieb and W.N.G. Hitchon, “

*An Accurate Kinetic Scheme for 3D Solutions of the Boltzmann Equation*”, Proceedings of the 23rd International Symposium on Rarefied Gas Dynamics, Whistler, British Columbia, Canada, July 20-25, 2002[2]

A.J. Christlieb, W.N.G. Hitchon, I.D. Boyd and Q. Sun, “

*Application of the Transition Probability Matrix Method to High Knudsen Number Flow Past a Micro-Plate*”, Proceedings of the 23rd International Symposium on Rarefied Gas Dynamics, Whistler, British Columbia, Canada, July 20-25, 2002[3]

A.J. Christlieb, J.A. Rossmanith and P. Smereka, “

*The Limiting Behavior of the Broadwell Model: Flow in a Thin Channel*”, Proceedings of the 24th International Symposium on Rarefied Gas Dynamics, Bari, Italy, July 10-15, 2004[4]

A.J. Christlieb, R. Krasny, Emhoff and I.D. Boyd, “

*Grid-free Plasma Simulations Based on Hierarchical Treecode Field Solvers*”, Proceedings of the 24th International Symposium on Rarefied Gas Dynamics, Bari, Italy, July 10-15, 2004[5]

A. VanderWyst, A. Christlieb, M. Sussman, and I.D. Boyd, “

*Simulations of Charged Droplets Using Level Sets and the Boundary Integral Formulation of Electric Fields*”, 2nd Colloid Thruster/Nano Electrojet Workshop at MIT. Cambridge, MA, April 2005 5 of 13 A.J. Christlieb[6]

A. VanderWyst, A. Christlieb, M. Sussman, and I.D. Boyd, “

*Boundary Integral Formulation of Electric Fields in Level Set Simulation of Charged Droplets*”, 36th AIAA Plasmadynamics and Lasers Conference. Toronto, Canada, June 2005[7]

A. VanderWyst, A. Christlieb, M. Sussman, and I.D. Boyd, “

*Level Set Simulations of Charged Droplets Using a Boundary Integral Method*”, 29th International Electric Propulsion Conference (IEPC). Princeton, NJ, November 2005