Publications and Reports

• R. Nodel, D.W. Kanaar, C. Nasseraddin, T.J. Wilson, H.-W. Jiang, J.R. Petta, C. Anderson and M.F. Gyure, “Rapid Charge Stability Diagram Generation from Device-level Modeling of Semiconductor Quantum Dots”, arXiv preprint, (2026). (arXiv:2608.28263v1)
• E. Cakar, H.E. Ercan, G. Fuchs, A.O. Denisov, C.R. Anderson, M.F. Gyure and J.R. Petta, “Toward utilizing scanning gate microscopy as a high-resolution probe of valley splitting in Si/SiGe heterostructures”, Appl. Phys. Lett., 125, 143504, (2024). (doi:10.1063/5.0217704)
• C.R. Anderson, M.F. Gyure, S. Quinn, A. Pan, R.S. Ross and A.A. Kiselev, “High-precision real-space simulation of electrostatically confined few-electron states”, AIP Advances, 12, 065123, (2022). (doi:10.1063/5.0089821)
• A.O. Denisov, S.W. Oh, G. Fuchs, A.R. Mills, P. Chen, C.R. Anderson, M.F. Gyure, A.W. Barnard and J.R. Petta, “Microwave-Frequency Scanning Gate Microscopy of a Si/SiGe Double Quantum Dot”, Nano Lett., 22, 4807–4813, (2022). (doi:10.1021/acs.nanolett.2c01098)
• C.R. Anderson, M.F. Gyure, S. Quinn, A. Pan, R.S. Ross and A.A. Kiselev, “High-precision real-space simulation of electrostatically confined few-electron states”, AIP Advances, 12, 065123, (2022). (doi:10.1063/5.0089350)
• C.R. Anderson, “High Order Accurate Solution of Poisson's Equation in Infinite Domains for Smooth Functions”, (2021). (arXiv:2108.11871v1)
• C.R. Anderson, “High order discretization techniques for real-space ab-initio simulations”, J. Chem. Physics, 148, 11411, (2018). (doi:10.1063/1.5017477)
• C. R. Anderson, Dominant Subspace Preconditioning for Kernel Ridge Regression Problems, UCLA CAM Report 16-77, (2016). (pdf)
• C. R. Anderson, High order expanding domain methods for the solution of Poisson's equation in infinite domains, J. Comput. Phys. 314, 194-205, (2016). (doi:10.1016/j.jcp.2016.02.074)
• C. R. Anderson, Grid Based Solutions of the N-Particle Schroedinger Equation, UCLA CAM Report 15-10, (2015). (pdf)
• C. R. Anderson, Uniform Grid Computation of Smooth Hydrogenic Orbitals, February 2015, UCLA CAM Report 15-09, (2015). (pdf)
• C. R. Anderson, High Order Expanding Domain Methods for the Solution of Laplace's Equation In Infinite Domains, UCLA CAM Report 14-44, (2015). (pdf)
• C. R. Anderson, Compact Polynomial Mollifiers For Poisson's Equation, May 2014. Revised: November 2015, UCLA CAM Report 14-43, (2015). (pdf)
• C. R. Anderson, A Recursive Expanding Domain Method for the Solution of Laplace's Equation In Infinite Domains, UCLA CAM Report 14-45, (2014). (pdf)
• C.R. Anderson, “A Rayleigh–Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matrices”, J. Comput. Phys., 229, 7477-7487, (2010). (doi:10.1016/j.jcp.2010.06.026)
• C.R. Anderson, “Efficient solution of the Schroedinger–Poisson equations in layered semiconductor devices”, J. of Comp. Phys., 228, 4745-4756, (2009). (doi:10.1016/j.jcp.2009.03.033)
• C.R. Anderson and T.C. Cecil, “A Fourier–Wachspress method for solving Helmholtz’s equation in three-dimensional layered domains”, J. of Comput. Phys., 205, 706-714, (2005). (doi:10.1016/j.jcp.2004.11.025)
• C. R. Anderson, and C. Elion, Accelerated Solutions of Nonlinear Equations Using Stabilized Runge-Kutta Methods, UCLA CAM Report 04-26, (2004). (pdf)
• Christopher R. Anderson and Thomas C. Cecil, A Fourier-Wachspress Method for Solving Helmholtz's Equation in Three Dimensional Layered Domains, UCLA CAM Report 04-34, (2004). (pdf)
• C. R. Anderson, and C. Elion, Accelerated Solutions of Nonlinear Equations Using Stabilized Runge-Kutta Methods, UCLA CAM Report 04-26, (2004). (pdf)
• C. Ratsch, C. Anderson, R.E. Caflisch, L. Feigenbaum, D. Shaevitz, M. Sheffler, and C. Tiee, Multiple Domain Dynamics Simulated with Coupled Level Sets, Appl. Math. Lett. 16, 1165 (2003).
• Caiden, R., Fedkiw, R. and Anderson, C., “A Numerical Method for Two Phase Flow Consisting of Separate Compressible and Incompressible Regions”, J. Comput. Phys. 166, 1-27 (2001).
• C.R. Anderson, Distributed Computing : What do we need and can we get it with Java?, in Object Oriented Methods for Interoperable Scientific and Engineering Computing, M. E. Henderson, C.R. Anderson, and S.L. Lyons, (eds.). SIAM Publications, 313-320 (1999).
• M. E. Henderson, C.R. Anderson, and S.L. Lyons, eds., Object Oriented Methods for Interoperable Scientific and Engineering Computing, SIAM Publications (1999).
• C.R. Anderson, Y.-C. Chen, J.S. Gibson, Control and Identification of Vortex Wakes. Conference Proceedings ASME Fluids Engineering Division Summer Meeting, FEDSM98/5299, June 1998.
• C. Tazartes, C.R. Anderson, E.A. Carter, Automated Selection of Optimal Gaussian Fits to Arbitrary Functions in Electronic Structure Theory. Journal of Computational Chemistry, 19, 1300-1314 (1998).
• C.R. Anderson, M.D. Dahleh, Rapid Computation of the Discrete Fourier Transform. SIAM J. Sci. Comput., 17, 913-919 (1996).
• C.R. Anderson, M.B. Reider, High Order Explicit Method for the Computation of Flow About a Circular Cylinder. Journal of Computational Physics, 125, 207-224 (1996).
• C.R. Anderson, H.-L. Chang, J.S. Gibson, Zeros of input/output models for control of vortex dynamics. American Control Conference, Baltimore, MD., June 1994, 1534-1536.
• C.R. Anderson, M.B. Reider, Investigation of the Use of Prandtl/Navier-Stokes Equation Procedures for Two Dimensional Incompressible Flows. Physics of Fluids, 6, 2380-2389 (1994).
• C.R. Anderson, A Finite Vortex Street Model, UCLA Dept. of Mathematics, CAM 93-10 (1993).
• C.R. Anderson, H.-L. Chang, J.S. Gibson, Adaptive control of vortex dynamics. IEEE Conference on Decision and Control, San Antonio, TX., December 1993, 1909-1910.
• C.R. Anderson, Pao, K., Computational Flow Noise via Asymptotic Expansions. ASME Symposium on Flow Noise Modeling, Measurement and Control, NCA-Vol. 15, FED-Vol. 168 (1993).
• C.R. Anderson, An implementation of the fast multipole method without multipoles. SIAM J. Sci. Stat. Computing, 13, 923-947 (1992).
• C.R. Anderson, C. Greengard, eds., Vortex Dynamics and Vortex Methods. Lectures in Applied Mathematics, 28, AMS (1991).
• C.R. Anderson, Computational aspects of “fast” particle simulations, in Comput. Meth. Appl. Sci. & Engr., Glowinski and Lichnewsky, eds. SIAM Publications, 123-135 (1990).
• C.R. Anderson, C. Greengard, L. Greengard, V. Rokhlin, On the accurate calculation of vortex shedding. Phys. Fluids A., 2, 883-885 (1990).
• C.R. Anderson, C. Greengard, The vortex ring merger problem at infinite Reynolds number. Comm. Pure Appl. Math., 42, 1123-1139 (1989).
• C.R. Anderson, Vorticity boundary conditions and boundary vorticity generation for 2-dimensional viscous incompressible flows. Journal of Computational Physics, 80, 72-97 (1989).
• C.R. Anderson, Domain decomposition techniques and the solution of Poisson's equation in infinite domains, in Domain Decomposition Methods, T. Chan, R. Glowinski, J. Periaux and O. Widlund (eds.). SIAM Publications, 129-139 (1988).
• C.R. Anderson, Observations on vorticity creation boundary conditions, in Mathematical Aspects of Vortex Dynamics, R.E. Caflisch (ed.). SIAM Publications, 144-160 (1988).
• C.R. Anderson, Domain decomposition techniques and the solution of Poisson's equation in infinite domains, in Domain Decomposition Methods, T. Chan, R. Glowinski, J. Periaux and O. Widlund (eds.). SIAM Publications, 129-139 (1988).
• C.R. Anderson, C. Greengard, Vortex ring interaction by the vortex method, in Vortex Methods, C.R. Anderson and C. Greengard (eds.). Springer-Verlag Lecture Notes in Mathematics Series, 1360, 23-37 (1988).
• C.R. Anderson, C. Greengard, M. Henderson, Instability, vortex shedding and numerical convergence, in Vortex Methods, C.R. Anderson and C. Greengard (eds.), Springer-Verlag Lecture Notes in Mathematics Series, 1360, 42-55 (1988).
• C.R. Anderson, Derivation and solution of the equation of the discrete pressure equation for the incompressible Navier-Stokes equations. UCLA report, CAM 88-36 (1988).
• C.R. Anderson, Manipulating fast solvers - changing their boundary conditions and putting them on multiple processor computers. UCLA report, CAM 88-37 (1988).
• C.R. Anderson, C. Greengard, eds., Proceedings of the UCLA Workshop on Vortex Methods. Lecture Notes in Mathematics, 1360, Springer (1988).
• C.R. Anderson, A method of local corrections for computing the velocity field due to a distribution of vortex blobs, J. of Computational Physics, 62, 111-123 (1986).
• C.R. Anderson, A vortex method for flows with slight density variations, J. of Computational Physics, 61, 417-444 (1985).
• C.R. Anderson, C. Greengard, On vortex methods. SIAM J. Numer. Analysis, 22, 413-440 (1985).
• C.R. Anderson, P. Concus, A stochastic method for modeling fluid displacement in petroleum reservoirs, in Analysis and Optimization of Systems, A Bensoussan and J.L. Lions eds.. Lecture Notes in Control and Information Sciences, Springer-Verlag, 28, 827-841 (1980).