Papers and Reports

C. R. Anderson, Dominant Subspace Preconditioning for Kernel Ridge Regression Problems, November 2016, UCLA CAM Report (16-77)

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). (https://doi.org/10.1016/j.jcp.2016.02.074)

C. R. Anderson, Grid Based Solutions of the N-Particle Schroedinger Equation, February 2015, UCLA CAM Report (15-10) (pdf)

C. R. Anderson, Uniform Grid Computation of Smooth Hydrogenic Orbitals, February 2015, UCLA CAM Report (15-09) (pdf)

C. R. Anderson, A Recursive Expanding Domain Method for the Solution of Laplace's Equation In Infinite Domains, May 2014, UCLA CAM Report (15-45) (pdf)

C. R. Anderson, High Order Expanding Domain Methods for the Solution of Laplace's Equation In Infinite Domains, May 2014, UCLA CAM Report (15-44) (pdf)

C. R. Anderson, Compact Polynomial Mollifiers For Poisson's Equation, May 2014. Revised: November 2015, UCLA CAM Report (14-43) (pdf)

C. R. Anderson, A Rayleigh–Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matricesm ”, J. Comput. Phys. 229, 7477-7487, (2010). (https://doi.org/10.1016/j.jcp.2010.06.030)

C. R. Anderson, Efficient solution of the Schroedinger–Poisson equations in layered semiconductor devices, J. of Comp. Phys., 228, 4745-4756, (2009)

C. R. Anderson, T. C. Cecil, A Fourier-Wachspress method for solving Helmholtz’s equation in three-dimensional layered domains, Journal of Computational Physics, 205, 2005, 706-718.

Christopher R. Anderson and Thomas C. Cecil, A Fourier-Wachspress Method for Solving Helmholtz's Equation in Three Dimensional Layered Domains, June 2004, UCLA CAM Report (04-34) (PDF)

C. R. Anderson, and C. Elion, Accelerated Solutions of Nonlinear Equations Using Stabilized Runge-Kutta Methods, April 2004,
 UCLA CAM Report (04-26) (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, Capacitance Matrix Methods for the Solution of Elliptic Equations Defined by Level Set Functions, May 2000. CAM Report (00-15) (PDF)

C.R. Anderson, Numerical Solution of the Incompressible Navier-Stokes Equations in Infinite Domains, Jan. 2000, CAM Report (00-02) (PDF)

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, 1999, 313-320.

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, 1998, 1300-1314.

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, 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, M.D. Dahleh, Rapid Computation of the Discrete Fourier Transform. Siam. J. of Sci. Comput., 17, 1996, 913-919.

C.R. Anderson, M.B. Reider, High Order Explicit Method for the Computation of Flow About a Circular Cylinder. Journal of Computational Physics, 125, 1996, 207-224.

C.R. Anderson, M.B. Reider, Investigation of the Use of Prandt/Navier-Stokes Equation Procedures for Two Dimensional Incompressible Flows. Physics of Fluids, 6, 1994, 2380-2389

C.R. Anderson, An implementation of the fast multipole method without multipoles. SIAM J. Sci. Stat. Computing, 13, 1992, 923-947.

C.R. Anderson, Computational aspects of ``fast'' particle simulations, in Comput. Meth. Appl. Sci. \& Engr., Glowinski and Lichnewsky, eds. SIAM Publications, 1990, 123-135

C.R. Anderson, C. Greengard, L. Greengard, V. Rokhlin, On the accurate calculation of vortex shedding. Phys. Fluids A. , 2 1990, 883-885

C.R. Anderson, C. Greengard, The vortex ring merger problem at infinite Reynolds number. Comm. Pure Appl. Math., 42, 1989, 1123-1139/

C.R. Anderson, Observations on vorticity creation boundary conditions, in Mathematical Aspects of Vortex Dynamics, R.E. Caflisch (ed.). SIAM Publications, 1988, 144-160.

C.R. Anderson, Vorticity boundary conditions and boundary vorticity generation for 2-dimensional viscous incompressible flows. Journal of Computational Physics, 80, 1989, 72-97.

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 , 1988, 129-139.

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, 1988, 23-37

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 Mathematical Series, 1360, 1988, 42-55.

C.R. Anderson, Derivation and solution of the equation of the discrete pressure equation for the incompressibles Navier-Stokes equations. UCLA report, CAM 88-36.

C.R. Anderson, Manipulating fast solvers - changing their boundary conditions and putting them on multiple processor computers. UCLA report, CAM 88-37.

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, 1986, 111-123.

C.R. Anderson, A vortex method for flows with slight density variations, .J. of Computational Physics, 61, 1985, 417-444.

C.R. Anderson, C. Greengard, On vortex methods. SIAM J. Numer. Analysis, 22, 1985, 413-440.

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, 1980, 827-841.

Edited Proceedings

M. E. Henderson, C.R. Anderson, and S.L. Lyons, eds., Object Oriented Methods for Interoperable Scientific and Engineering Computing,
1999, SIAM Publications.
C.R. Anderson, C. Greengard, eds.,Vortex Dynamics and Vortex Methods. Lectures in Applied Mathematics, 28, 1991, AMS.
C.R. Anderson, C. Greengard, eds., Proceedings of the UCLA Workshop on Vortex Methods. Lecture Notes in Mathematics, 1360, 1988, Springer.