Dr. James Lambers
Professor
Bio
Education:
BS, Purdue University, 1991 (with highest distinction)
MS, Stanford University, 1994
PhD, Stanford University, 2003 (Advisers: Joseph Oliger and Gene Golub)
Experience:
2003-04, Lecturer and Postgraduate Researcher, UC Irvine
2004-05, Postdoctoral Scholar, Stanford
2005-06, Research Associate, Stanford
2006-09, Acting Assistant Professor, Stanford
2009-13, Assistant Professor, USM
2013-19, Associate Professor, USM
2019-present, Professor, USM
Google Scholar
MathSciNet
Personal Web Site
- PHD - Stanford University (2003)
- MS - Stanford University (1994)
- BS - Purdue University (1991)
Undergraduate Courses:
MAT 102 (Brief Applied Calculus)
MAT 280 (Calculus IV with Analytic Geometry)
MAT 285 (Introduction to Differential Equations I)
MAT 460/560 (Numerical Analysis I)
MAT 461/561 (Numerical Analysis II)
Graduate Courses:
MAT 610 (Numerical Linear Algebra)
MAT 721 (Mathematics For Scientific Computing II)
MAT 772 (Numerical Analysis for Computational Science)
MAT 773 (Signal Analysis for Computational Science)
- Acoustic singular surfaces in inhomogeneous gases: A new numerical approach based on Krylov subspace spectral methodologies, International Journal of Nonlinear Mechanics, 2023, https://doi.org/10.1016/j.ijnonlinmec.2023.104506
- On the structure and evolution of poroacoustic solitary waves: Finite-time gradient catastrophe under the Darcy-Jordan model, Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations, Contemporary Mathematics,
- Numerical solution of an extra-wide angle parabolic equation through diagonalization of a 1-D indefinite Schrödinger operator with a piecewise constant potential, Applied Numerical Mathematics, 2023, https://doi.org/10.1016/j.apnum.2023.02.017
- On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases, Numerical Methods for Partial Differential Equations,
- Convergence analysis of Krylov subspace spectral methods for reaction-diffusion equations, J. Sci. Comput., 2019, 10.1007/s10915-018-0824-5
- Explorations in numerical analysis, 2018
- Modeling of first-order photobleaching kinetics using Krylov subspace spectral methods, Comput. Math. Appl., 2018, 10.1016/j.camwa.2017.10.019
- Solution of nonlinear time-dependent PDEs through componentwise approximation of matrix functions, J. Comput. Phys., 2016, 10.1016/j.jcp.2016.06.024
- Solution of time-dependent PDE through rapid estimation of block Gaussian quadrature nodes, Linear Algebra Appl., 2015, 10.1016/j.laa.2014.07.009
- Image restoration with a new class of forward-backward-forward diffusion equations of Perona-Malik type with applications to satellite image enhancement, SIAM J. Imaging Sci., 2013, 10.1137/120882895
- Society for Industrial and Applied Mathematics
- American Mathematical Society