Practical Implementation of Krylov Subspace Spectral Methods. - James V. Lambers (J. Sci. Comput., 2007)

Two New Nonlinear Nonlocal Diffusions for Noise Reduction. - Patrick Guidotti; James V. Lambers (J. Math. Imaging Vis., 2009)

Krylov subspace spectral methods for the time-dependent Schrödinger equation with non-smooth potentials. - James V. Lambers (Numer. Algorithms, 2009)

Approximate diagonalization of variable-coefficient differential operators through similarity transformations. - James V. Lambers (Comput. Math. Appl., 2012)

Explicit high-order time stepping based on componentwise application of asymptotic block Lanczos iteration. - James V. Lambers (Numer. Linear Algebra Appl., 2012)

Image Restoration with a New Class of Forward-Backward-Forward Diffusion Equations of Perona-Malik Type with Applications to Satellite Image Enhancement. - Patrick Guidotti; Yunho Kim; James V. Lambers (SIAM J. Imaging Sci., 2013)

Solution of nonlinear time-dependent PDEs through componentwise approximation of matrix functions. - Alexandru Cibotarica; James V. Lambers; Elisabeth M. Palchak (J. Comput. Phys., 2016)

Modeling of first-order photobleaching kinetics using Krylov subspace spectral methods. - Somayyeh Sheikholeslami; James V. Lambers (Comput. Math. Appl., 2018)

Convergence Analysis of Krylov Subspace Spectral Methods for Reaction-Diffusion Equations. - Somayyeh Sheikholeslami; James V. Lambers; Carley Walker (J. Sci. Comput., 2019)

Diagonalization of 1-D differential operators with piecewise constant coefficients using the uncertainty principle. - Sarah D. Long; Somayyeh Sheikholeslami; James V. Lambers; Carley Walker (Math. Comput. Simul., 2019)

Explorations in Numerical Analysis - Python Edition - James V. Lambers; Amber Sumner Mooney; Vivian A. Montiforte (WorldScientific, 2021)

Numerical Solution of an Extra-wide Angle Parabolic Equation through Diagonalization of a 1-D Indefinite Schrödinger Operator with a Piecewise Constant Potential. - Sarah D. Wright; James V. Lambers (CoRR, 2022)

Convergence Analysis of a Krylov Subspace Spectral Method for the 1-D Wave Equation in an Inhomogeneous Medium. - Bailey Rester; James V. Lambers (CoRR, 2023)

Acoustic singular surfaces in an exponential class of inhomogeneous gases: A new numerical approach based on Krylov subspace spectral methodologies. - Bailey Rester; James V. Lambers; Pedro M. Jordan (CoRR, 2023)

On the application of Krylov subspace spectral methodologies to poroacoustic shock formation in an exponential class of inhomogeneous gases. - C. Drum; James V. Lambers; Pedro M. Jordan (J. Comput. Phys., 2024)