Erik S. Van Vleck

35 papers Journal 35
YearRankTypeTitle / Venue / Authors
2026 J jnl
Robust adaptive meshing, mesh density functions, and nonlocal observations for ensemble based data assimilation.
Comput. Math. Appl.
Jeremiah Buenger, Weizhang Huang, Erik S. Van Vleck
2025 J jnl
Robust Adaptive Meshing, Mesh Density Functions, and Nonlocal Observations for Ensemble Based Data Assimilation.
CoRR
Jeremiah Buenger, Weizhang Huang, Erik S. Van Vleck
2024 J jnl
Projected data assimilation using sliding window proper orthogonal decomposition.
J. Comput. Phys.
Aishah Albarakati, Marko Budisic, Erik S. Van Vleck
2022 J jnl
A metric tensor approach to data assimilation with adaptive moving meshes.
J. Comput. Phys.
Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang
2022 J jnl
Model and data reduction for data assimilation: Particle filters employing projected forecasts and data with application to a shallow water model.
Comput. Math. Appl.
Aishah Albarakati, Marko Budisic, Rose Crocker, Juniper Glass-Klaiber, Sarah Iams, John Maclean, Noah Marshall, Colin Roberts, Erik S. Van Vleck
2021 J jnl
A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes.
CoRR
Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang
2018 J jnl
Preface of 2nd Annual Meeting of SIAM Central States Section.
Comput. Math. Appl.
Xiaoming He, Stephen Pankavich, Erik S. Van Vleck, Zhu Wang, Xiu Ye
2018 J jnl
Projected Shadowing-Based Data Assimilation.
SIAM J. Appl. Dyn. Syst.
Bart de Leeuw, Svetlana Dubinkina, Jason Frank, Andrew J. Steyer, Xuemin Tu, Erik S. Van Vleck
2016 J jnl
A step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theory.
J. Comput. Appl. Math.
Andrew J. Steyer, Erik S. Van Vleck
2016 J jnl
Global error analysis and inertial manifold reduction.
J. Comput. Appl. Math.
Yu-Min Chung, Andrew J. Steyer, Michael Tubbs, Erik S. Van Vleck, Mihir Vedantam
2016 J jnl
Preface - SI: SIAM-2015.
J. Comput. Appl. Math.
Xiaoming He, Jiangguo Liu, Erik S. Van Vleck
2015 J jnl
Propagation of Periodic Patterns in a Discrete System with Competing Interactions.
SIAM J. Appl. Dyn. Syst.
Anna Vainchtein, Erik S. Van Vleck, Aijun Zhang
2014 J jnl
Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations.
Numerische Mathematik
Dimitri Breda, Erik S. Van Vleck
2013 J jnl
Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems.
SIAM J. Math. Anal.
Hermen Jan Hupkes, Erik S. Van Vleck
2013 J jnl
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations.
J. Comput. Phys.
Changna Lu, Weizhang Huang, Erik S. Van Vleck
2011 J jnl
Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion.
SIAM J. Appl. Math.
A. R. Humphries, Brian E. Moore, Erik S. Van Vleck
2011 J jnl
On the error in approximating stability spectra for discrete dynamical systems.
Math. Comput. Simul.
Melissa Menning, Erik S. Van Vleck
2011 J jnl
Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model.
SIAM J. Appl. Dyn. Syst.
Maila Brucal-Hallare, Erik S. Van Vleck
2010 J jnl
On the Error in the Product QR Decomposition.
SIAM J. Matrix Anal. Appl.
Erik S. Van Vleck
2008 J jnl
On the Error in QR Integration.
SIAM J. Numer. Anal.
Luca Dieci, Erik S. Van Vleck
2006 J jnl
Traveling Wave Solutions to a Coupled System of Spatially Discrete Nagumo Equations.
SIAM J. Appl. Math.
Michael D. Bateman, Erik S. Van Vleck
2005 J jnl
Computation of Mixed Type Functional Differential Boundary Value Problems.
SIAM J. Appl. Dyn. Syst.
Kate A. Abell, Christopher E. Elmer, A. R. Humphries, Erik S. Van Vleck
2005 J jnl
On the error in computing Lyapunov exponents by QR Methods.
Numerische Mathematik
Luca Dieci, Erik S. Van Vleck
2005 J jnl
Spatially Discrete FitzHugh--Nagumo Equations.
SIAM J. Appl. Math.
Christopher E. Elmer, Erik S. Van Vleck
2003 J jnl
Orthonormal integrators based on Householder and Givens transformations.
Future Gener. Comput. Syst.
Luca Dieci, Erik S. Van Vleck
2002 J jnl
Lyapunov Spectral Intervals: Theory and Computation.
SIAM J. Numer. Anal.
Luca Dieci, Erik S. Van Vleck
2001 J jnl
Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic Diffusion.
SIAM J. Appl. Math.
Christopher E. Elmer, Erik S. Van Vleck
2000 J jnl
Mosaic solutions and Spatial Entropy for a Class of Neural Network Models.
Int. J. Bifurc. Chaos
Barbara Jennings, Erik S. Van Vleck
2000 J jnl
Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result.
SIAM J. Sci. Comput.
Erik S. Van Vleck
1999 J jnl
Computation of orthonormal factors for fundamental solution matrices.
Numerische Mathematik
Luca Dieci, Erik S. Van Vleck
1998 J jnl
Diffusion Induced Chaos in a Closed Loop Thermosyphon.
SIAM J. Appl. Math.
Aníbal Rodríguez-Bernal, Erik S. Van Vleck
1998 J jnl
Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice.
SIAM J. Appl. Math.
Erik S. Van Vleck, John Mallet-Paret, John W. Cahn
1995 J jnl
Numerical Shadowing Near Hyperbolic Trajectories.
SIAM J. Sci. Comput.
Erik S. Van Vleck
1994 J jnl
A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs.
SIAM J. Sci. Comput.
Shui-Nee Chow, Erik S. Van Vleck
1994 J jnl
Parallel Speed-Up of Monte Carlo Methods for Global Optimization.
J. Complex.
Ron Shonkwiler, Erik S. Van Vleck