P. M. Jordan and J. V. Lambers,
"Revisiting Manne et al. (2000): A reformulation and alternative interpretation under the modified internal energy theory of second-sound",
Wave Motion105 (2021), 102756.
P. M. Jordan and J. V. Lambers,
"On the propagation and bifurcation of singular surface shocks under a class of wave equations based on second-sound flux models and logistic growth",
International Journal of Non-Linear Mechanics132 (2021), 103696.
J. V. Lambers and P. M. Jordan,
"On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases", Numerical Methods for Partial Differential
Equations37(6) (2021), p. 2955-2972.
S. Sheikholeslami, J. V. Lambers and C. Walker,
"Convergence Analysis of Krylov Subspace Spectral Methods for
Reaction-Diffusion Equations",
Journal of Scientific Computing78(3) (2019), p. 1768-1789.
(PDF)
S. D. Long, S. Sheikholeslami, J. V. Lambers and C. Walker,
"Diagonalization of 1-D Differential Operators with Piecewise Constant Coefficients Using the Uncertainty Principle",
Mathematics and Computers in Simulation156 (2019), p. 194-226.
(PDF)
S. Sheikholeslami and J. V. Lambers,
"Modeling of first-order photobleaching kinetics using Krylov subspace spectral methods",
Computers and Mathematics with Applications75(6) (2018), p. 2153-2172.
(PDF)
E. M. Garon and J. V. Lambers,
"Modeling the Diffusion of Heat Energy within
Composites of Homogeneous Materials using the
Uncertainty Principle",
Computational and Applied Mathematics37(3) (2018), p. 2566-2587.
(PDF)
M. Richardson and J. V. Lambers,
"Recurrence Relations for
Orthogonal Polynomials for PDEs in Polar and Cylindrical Geometries",
SpringerPLUS5:1567 (2016)
(PDF)
A. Cibotarica, J. V. Lambers and E. M. Palchak,
"Solution of Nonlinear Time-Dependent PDE Through
Componentwise Approximation of Matrix Functions",
Journal of Computational Physics321 (2016), p. 1120-1143.
(PDF)
E. M. Palchak, A. Cibotarica and J. V. Lambers,
"Solution of Time-Dependent PDE Through Rapid Estimation of Block
Gaussian Quadrature Nodes",
Linear Algebra and its Applications468 (2015), p. 233-259.
(PDF)
P. Guidotti, Y. Kim and J. V. Lambers,
"Image restoration with a new class of forward-backward-forward diffusion
equations of Perona-Malik type with Applications to Satellite Image
Enhancement",
SIAM Journal on Imaging Sciences6(3) (2013), p. 1416-1444.
(PDF)
J. V. Lambers,
"Approximate Diagonalization of Variable-Coefficient Differential Operators Through Similarity Transformations",
Computers and Mathematics with Applications64(8) (2012), p. 2575-2593.
(PDF)
J. V. Lambers,
"Explicit High-Order Time-Stepping Based on Componentwise
Application of Asymptotic Block Lanczos Iteration",
Numerical Linear Algebra with Applications19(6) (2012), p. 970-991.
(PDF)
J. V. Lambers,
"Solution of Time-Dependent PDE Through Component-wise Approximation
of Matrix Functions", IAENG Journal of Applied Mathematics41(1) (2011), p. 1-10.
(PDF)
T. Chen, M. G. Gerritsen, J. V. Lambers
and L. J. Durlofsky,
"Global variable compact multipoint methods for accurate upscaling
with full-tensor effects", Computational Geosciences14(1) (2010), p. 65-81.
(PDF)
J. V. Lambers,
"A Multigrid Block Krylov Subspace Spectral
Method for Variable-Coefficient Elliptic PDE",
IAENG Journal of Applied Mathematics39(4) (2009), p. 236-246.
(PDF)
J. V. Lambers,
"A Spectral Time-Domain Method for Computational
Electrodynamics", Advances in Applied Mathematics and
Mechanics1(6) (2009), p. 781-798.
(PDF)
J. V. Lambers,
"Krylov Subspace Spectral Methods for the Time-Dependent Schrödinger
Equation with Non-Smooth Potentials",
Numerical Algorithms51 (2009), p. 239-280.
(PDF)
J. V. Lambers,
"An Explicit, Stable, High-Order Spectral Method
for the Wave Equation Based on Block Gaussian
Quadrature",
IAENG Journal of Applied Mathematics38 (2008), p. 233-248.
(PDF)
J. V. Lambers,
"Enhancement of Krylov Subspace Spectral Methods
by Block Lanczos Iteration",
Electronic Transactions on Numerical Analysis31 (2008), p. 86-109.
(PDF)
J. V. Lambers,
"Implicitly Defined High-Order Operator
Splittings for Parabolic and Hyperbolic
Variable-Coefficient PDE Using Modified
Moments",
International Journal of Computational Science2 (2008), p. 376-401.
(PDF)
P. Guidotti and J. V. Lambers,
"Two New Nonlinear Nonlocal Diffusions for Noise Reduction",
Journal of Mathematical Imaging and Vision33 (2009), p. 27-35.
(PDF)
P. Guidotti and J. V. Lambers,
"Eigenvalue Characterization and Computation for
the Laplacian on General 2-D Domains",
Numerical Functional Analysis and Optimization29 (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 Analysis28 (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 Geosciences12, Special Issue on Multiscale Methods for Flow and Transport in Heterogeneous Porous Media (2008), p. 399-416.
(PDF)
J. V. Lambers,
"Practical Implementation of Krylov Subspace Spectral Methods",
Journal of Scientific Computing32 (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 Geosciences12 (2008), p. 193-208.
(PDF)
P. Guidotti, J. V. Lambers and K. Sølna,
"Analysis of the 1D Wave Equation in Inhomogeneous Media",
Numerical Functional Analysis and Optimization27 (2006), p. 25-55.
(PDF)
J. V. Lambers,
"Krylov Subspace Spectral Methods for Variable-Coefficient
Initial-Boundary Value Problems",
Electronic Transactions on Numerical Analysis20 (2005), p. 212-234.
(PDF)
Refereed Conference Papers:
H. Dozier and J. V. Lambers,
"Krylov Subspace Spectral Methods with
Coarse-Grid Residual Correction for Solving
Time-Dependent, Variable Coefficient PDEs",
Proceedings of the 2016 International Conference on Spectral and High-Order Methods, Rio de Janeiro, 2016.
(PDF)
J. V. Lambers, "High-order Time-stepping for Galerkin and
Collocation Methods Based on Component-wise
Approximation of Matrix Functions",
Proceedings of the World Congress on Engineering, London, 2011.
(PDF)
J. V. Lambers, "Spectral Methods for Time-dependent Variable-coefficient
PDE Based on Block Gaussian Quadrature",
Proceedings of the World Congress on Engineering, London, 2010.
(PDF)
J. V. Lambers, "Krylov Subspace Spectral Methods for the Time-Dependent
Schrödinger Equation with Non-Smooth Potentials",
Proceedings of the 2010 International MultiConference of Engineers and
Computer Scientists, Hong Kong, Winner, Best Paper Award, 2010
International Conference of Scientific Computing.
(PDF)
J. V. Lambers, "Spectral Methods for Time-dependent Variable-coefficient
PDE Based on Block Gaussian Quadrature",
Proceedings of the 2009 International Conference on Spectral and
High-Order Methods, Trondheim, 2009.
(PDF)
J. V. Lambers, "A Spectral Time-Domain Method for Computational
Electrodynamics",
Proceedings of the 8th European Conference on Numerical Mathematics
and Advanced Applications, Uppsala, 2009.
(PDF)
K. T. Chu and J. V. Lambers, "Using Optimal Time Step Selection to Boost the Accuracy
of FD Schemes for Variable Coefficient PDEs",
Proceedings of the World Congress on
Engineering, London, 2009.
(PDF)
J. V. Lambers, "Block Krylov Subspace Spectral Methods for Variable-Coefficient
Elliptic PDE", Proceedings of the World Congress on Engineering, London, 2009.
(PDF)
J. V. Lambers,
"A Spectral Time-Domain Method for Computational Electrodynamics",
Proceedings of the 2009 International MultiConference of Engineers
and Computer Scientists, Hong Kong
(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,
"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 Proceedings936
(2007), p. 332-335
(PDF)
Non-refereed Conference Papers:
J. V. Lambers,
"High-Order Time-Stepping for Nonlinear PDE through Rapid Estimation
of Block Gaussian Quadrature Nodes",
Proceedings of the 13th International
Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece,
2015.
(PDF)
J. V. Lambers,
"High-Order Time-Stepping for Nonlinear PDE through Rapid Estimation
of Block Gaussian Quadrature Nodes",
Proceedings of the 12th International
Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece,
2014.
(PDF)
J. V. Lambers,
"A Spectral Time-Domain Method for Computational Electrodynamics",
Proceedings of the 7th International
Conference on Numerical Analysis and Applied Mathematics,
Crete, Greece, 2009,
American Institute of Physics Conference Proceedings1168
(2009), p. 1192-1195.
(PDF)
J. V. Lambers, M. G. Gerritsen, and D. Fragola, "Multiphase, 3-D Flow Simulation
with Integrated Upscaling, MPFA Discretization, and Adaptivity",
Proceedings of the
SPE Reservoir Simulation Symposium, The Woodlands, Texas, 2009, SPE 118983.
T. Chen, M. G. Gerritsen, L. J. Durlofsky, and J. V. Lambers,
"Adaptive local-global
VCMP methods for coarse-scale reservoir modeling",
Proceedings of the SPE Reservoir
Simulation Symposium, The Woodlands, Texas, 2009, SPE 118994.
J. V. Lambers, "Implicitly Defined High-Order Operator Splittings for Parabolic and
Hyperbolic Variable-Coefficient PDE Using Modified Moments",
International Journal on Pure and Applied Mathematics50(2),
Proceedings of the Fifth International
Conference on Applied Mathematics and Computing, Plovdiv, Bulgaria (2009),
p. 239-244.
(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 2008 ASME International Mechanical Engineering
Congress and Exposition,
Boston
(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,
"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 Mathematics42 (2008),
p. 495-500
(PDF)
J. V. Lambers, "Recent Advances in Krylov Subspace Spectral Methods",
Proceedings
in Applied Mathematics and Mechanics7(1), Proceedings of the Sixth International
Congress on Industrial and Applied Mathematics, Zurich (2007), p. 2020143-2020144.
(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)
M. G. Gerritsen, K. Jessen, B. T. Mallison, and J. V. Lambers,
"A Fully Adaptive
Streamline Framework for the Challenging Simulation of Gas-Injection Processes",
Proceedings of the SPE Annual Technical Conference and Exhibition,
Dallas, 2005, SPE 97270.
J. V. Lambers and M. G. Gerritsen, "An Integration of Multilevel Local-Global Upscaling
with Grid Adaptivity", Proceedings of the SPE Annual Technical Conference and
Exhibition, Dallas, 2005, SPE 97250.
Book Chapters:
J. V. Lambers, A. Cibotarica and E. M. Palchak,
"Matrices, Moments and Quadrature:
Applications to Time-Dependent PDE", Applied Linear Algebra in Action
(2016)
(PDF)
J. V. Lambers, "Block Krylov Subspace Spectral Methods for
Variable-Coefficient
Elliptic PDE", Current Themes in Engineering Science (2010)
(PDF)
J. V. Lambers, "Application of Block Krylov Subspace Spectral Methods to Maxwell's Equations",
IAENG Transactions on Engineering Technologies3 (2010)
J. V. Lambers, "Coarse-scale Modeling of Flow in Gas-injection
Processes for Enhanced Oil Recovery",
Multiscale Modeling and Simulation in Science,
Lecture Notes in Computational Science and Engineering 66 (2009),
p. 303-306.
(PDF)
Thesis:
J. V. Lambers, "Krylov Subspace Methods for Variable-Coefficient
Initial-Boundary Value Problems", Ph.D. thesis, SC/CM Program,
Stanford University, 2003
(PDF)