James Lambers

Hello!

I am an acting assistant professor in the Department of Energy Resources Engineering at Stanford University.

Previously, I was a lecturer and researcher in the Mathematics Department at the University of California at Irvine.

I am a PhD graduate of the SCCM program at Stanford University.

For my thesis I worked on Krylov subspace methods for variable-coefficient initial-boundary value problems. My advisors were Joe Oliger and Gene Golub. You can download my thesis in ps or pdf format.

My current research is on gas injection processes for enhanced oil recovery, in collaboration with Margot Gerritsen, and computation and characterization of eigenvalues of the Laplacian on general domains, in collaboration with Patrick Guidotti.

You can find my CV here.

Journal Articlces:

J. V. Lambers, "Enhancement of Krylov Subspace Spectral Methods by Block Lanczos Iteration", Electronic Transactions on Numerical Analysis 31 (2008), in press. (PDF)
J. V. Lambers, "Implicitly Defined High-Order Operator Splittings for Parabolic and Hyperbolic Variable-Coefficient PDE Using Modified Moments", International Journal of Computational Science 2 (2008), p. 376-401. (PDF)
P. Guidotti and J. V. Lambers, "Two New Nonlinear Nonlocal Diffusions for Noise Reduction", Journal of Mathematical Imaging and Vision, in press. (PDF)
P. Guidotti and J. V. Lambers, "Eigenvalue Characterization and Computation for the Laplacian on General 2-D Domains", Numerical Functional Analysis and Optimization 29 (2008), p. 507-531. (PDF)
J. V. Lambers, "Derivation of High-Order Spectral Methods for Time-Dependent PDE Using Modified Moments", Electronic Transactions on Numerical Analysis 28 (2008), p. 114-135 (PDF)
J. V. Lambers, M. G. Gerritsen and B. T. Mallison, "Accurate Local Upscaling with Variable Compact Multi-point Transmissibility Calculations", Computational Geosciences, Special Issue on Multiscale Methods for Flow and Transport in Heterogeneous Porous Media (2008), in press. (PDF)
J. V. Lambers, "Practical Implementation of Krylov Subspace Spectral Methods", Journal of Scientific Computing 32 (2007), p. 449-476 (PDF)
M. G. Gerritsen and J. V. Lambers, "Integration of Local-Global Upscaling and Grid Adaptivity for Simulation of Subsurface Flow in Heterogeneous Formations", Computational Geosciences 12 (2008), p. 193-208 (PDF)
P. Guidotti, J. V. Lambers and Knut Solna, "Analysis of the 1D Wave Equation in Inhomogeneous Media", Numerical Functional Analysis and Optimization 27 (2006), p. 25-55 (PDF)
J. V. Lambers, "Krylov Subspace Spectral Methods for Variable-Coefficient Initial-Boundary Value Problems", Electronic Transactions on Numerical Analysis 20 (2005), p. 212-234 (PDF)

Conference Papers:

J. V. Lambers and M. G. Gerritsen, "Spatially-varying Compact Multi-point Flux Approximations for 3-D Adapted Grids with Guaranteed Monotonicity", Proceedings of the 2008 ASME International Mechanical Engineering Congress and Exposition, Boston (PDF)
J. V. Lambers, "Enhancement of Krylov Subspace Spectral Methods by Block Lanczos Iteration", Proceedings of the 6th International Conference on Numerical Analysis and Applied Mathematics, Kos, Greece, 2008 (PDF)
J. V. Lambers and M. G. Gerritsen, "Spatially-varying Compact Multi-point Flux Approximations for 3-D Adapted Grids with Guaranteed Monotonicity", Proceedings of the 11th European Conference on the Mathematics of Oil Recovery, Bergen, Norway, 2008 (PDF)
J. V. Lambers, "Implicitly Defined High-Order Operator Splittings for Parabolic and Hyperbolic Variable-Coefficient PDE Using Modified Moments", Proceedings of the 2008 World Congress of Engineering, London, Winner, Best Paper Award, 2008 International Conference of Applied and Engineering Mathematics (PDF)
J. V. Lambers, "Krylov Subspace Spectral Methods for Systems of Variable-Coefficient PDE", Proceedings of the 5th International Conference on Numerical Analysis and Applied Mathematics, Corfu, Greece, 2007, American Institute of Physics Conference Proceedings 936 (2007), p. 332-335 (PDF)
J. V. Lambers, "Recent Advances in Krylov Subspace Spectral Methods", Proceedings of the 4th International Conference on Applied Mathematics and Computing, Plovdiv, Bulgaria, 2007, International Journal of Pure and Applied Mathematics 42 (2008), p. 495-500 (PDF)
M. G. Gerritsen, J. V. Lambers and B. T. Mallison, "A Variable and Compact MPFA for Transmissibility Upscaling with Guaranteed Monotonicity", Proceedings of the 10th European Conference on the Mathematics of Oil Recovery, Amsterdam, 2006 (PDF)

Courses taught at Stanford:

For Winter Quarter 2001, I taught CS138, Scientific Computing with Matlab and Maple.
For Autumn Quarter 2001 and Summer Quarter 2003, I taught CS 137, Introduction to Scientific Computing.
For Summer Quarter 2001, I taught CS 143, Compilers.
For Summer Quarter 2002, I taught CS 161, Design and Analysis of Algorithms.
For Winter Quarter 2007, Autumn Quarter 2007, and Autumn Quarter 2008, I'll be teaching ENERGY211/CME211, Computer Programming in C++ for Scientsts and Engineers.
For Spring Quarter 2007 and Spring Quarter 2008, I taught ENERGY281, Applied Mathematics for Reservoir Engineering.
For Summer Session 2007, Winter Quarter 2008, and Winter Quarter 2009, I'll be teaching CME108, Introduction to Scientific Computing.
For Winter Quarter 2008, I taught CME212, Introduction to Large-Scale Computing in Engineering.
For Autumn Quarter 2008, I'll be teaching CME302, Numerical Linear Algebra.

Courses taught at UCI:

For Fall Quarter 2003, I taught Math 2B, Single-Variable Calculus.
For Winter Quarter 2004, I taught Math 2A, Single-Variable Calculus.
For Spring Quarter 2004, I taught Math 6A, Discrete Mathematics for Computer Science.
For Summer Session I 2004, I taught Math 105A, Numerical Analysis.
For Fall Quarter 2004, I taught Math 1B, Pre-Calculus, and Math 2B, Single-Variable Calculus.

How to reach me:

Office: GESB 049
Phone: (650) 725-2729
Email: lambers@stanford.edu