Erik S. Van Vleck

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 9

Top Topics

Lyapunov Exponents

Agent Based Simulations

Data Assimilation

Differential Equations

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

SIAM J. Appl. Dyn. Syst.

Comput. Math. Appl.

Publications

Aishah Albarakati, Marko Budisic, Erik S. Van Vleck
Projected data assimilation using sliding window proper orthogonal decomposition. J. Comput. Phys. 514 (2024)
Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang
A metric tensor approach to data assimilation with adaptive moving meshes. J. Comput. Phys. 466 (2022)
Aishah Albarakati, Marko Budisic, Rose Crocker, Juniper Glass-Klaiber, Sarah Iams, John Maclean, Noah Marshall, Colin Roberts, Erik S. Van Vleck
Model and data reduction for data assimilation: Particle filters employing projected forecasts and data with application to a shallow water model. Comput. Math. Appl. 116 (2022)
Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang
A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes. CoRR (2021)
Bart de Leeuw, Svetlana Dubinkina, Jason Frank, Andrew J. Steyer, Xuemin Tu, Erik S. Van Vleck
Projected Shadowing-Based Data Assimilation. SIAM J. Appl. Dyn. Syst. 17 (4) (2018)
Xiaoming He, Stephen Pankavich, Erik S. Van Vleck, Zhu Wang, Xiu Ye
Preface of 2nd Annual Meeting of SIAM Central States Section. Comput. Math. Appl. 75 (6) (2018)
Andrew J. Steyer, Erik S. Van Vleck
A step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theory. J. Comput. Appl. Math. 292 (2016)
Yu-Min Chung, Andrew J. Steyer, Michael Tubbs, Erik S. Van Vleck, Mihir Vedantam
Global error analysis and inertial manifold reduction. J. Comput. Appl. Math. 307 (2016)
Xiaoming He, Jiangguo Liu, Erik S. Van Vleck
Preface - SI: SIAM-2015. J. Comput. Appl. Math. 307 (2016)
Anna Vainchtein, Erik S. Van Vleck, Aijun Zhang
Propagation of Periodic Patterns in a Discrete System with Competing Interactions. SIAM J. Appl. Dyn. Syst. 14 (2) (2015)
Dimitri Breda, Erik S. Van Vleck
Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations. Numerische Mathematik 126 (2) (2014)
Changna Lu, Weizhang Huang, Erik S. Van Vleck
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. 242 (2013)
Hermen Jan Hupkes, Erik S. Van Vleck
Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems. SIAM J. Math. Anal. 45 (3) (2013)
Vu Hoang Linh, Volker Mehrmann, Erik S. Van Vleck
methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations. Adv. Comput. Math. 35 (2-4) (2011)
A. R. Humphries, Brian E. Moore, Erik S. Van Vleck
Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion. SIAM J. Appl. Math. 71 (4) (2011)
Melissa Menning, Erik S. Van Vleck
On the error in approximating stability spectra for discrete dynamical systems. Math. Comput. Simul. 81 (5) (2011)
Maila Brucal-Hallare, Erik S. Van Vleck
Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model. SIAM J. Appl. Dyn. Syst. 10 (3) (2011)
Erik S. Van Vleck
On the Error in the Product QR Decomposition. SIAM J. Matrix Anal. Appl. 31 (4) (2010)
Luca Dieci, Erik S. Van Vleck
On the Error in QR Integration. SIAM J. Numer. Anal. 46 (3) (2008)
Michael D. Bateman, Erik S. Van Vleck
Traveling Wave Solutions to a Coupled System of Spatially Discrete Nagumo Equations. SIAM J. Appl. Math. 66 (3) (2006)
Kate A. Abell, Christopher E. Elmer, A. R. Humphries, Erik S. Van Vleck
Computation of Mixed Type Functional Differential Boundary Value Problems. SIAM J. Appl. Dyn. Syst. 4 (3) (2005)
Luca Dieci, Erik S. Van Vleck
On the error in computing Lyapunov exponents by QR Methods. Numerische Mathematik 101 (4) (2005)
Christopher E. Elmer, Erik S. Van Vleck
Spatially Discrete FitzHugh--Nagumo Equations. SIAM J. Appl. Math. 65 (4) (2005)
Luca Dieci, Erik S. Van Vleck
Orthonormal integrators based on Householder and Givens transformations. Future Gener. Comput. Syst. 19 (3) (2003)
Luca Dieci, Erik S. Van Vleck
Lyapunov Spectral Intervals: Theory and Computation. SIAM J. Numer. Anal. 40 (2) (2002)
Christopher E. Elmer, Erik S. Van Vleck
Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic Diffusion. SIAM J. Appl. Math. 61 (5) (2001)
Barbara Jennings, Erik S. Van Vleck
Mosaic solutions and Spatial Entropy for a Class of Neural Network Models. Int. J. Bifurc. Chaos 10 (7) (2000)
Erik S. Van Vleck
Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result. SIAM J. Sci. Comput. 22 (3) (2000)
Luca Dieci, Erik S. Van Vleck
Computation of orthonormal factors for fundamental solution matrices. Numerische Mathematik 83 (4) (1999)
Aníbal Rodríguez-Bernal, Erik S. Van Vleck
Diffusion Induced Chaos in a Closed Loop Thermosyphon. SIAM J. Appl. Math. 58 (4) (1998)
Erik S. Van Vleck, John Mallet-Paret, John W. Cahn
Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice. SIAM J. Appl. Math. 59 (2) (1998)
Erik S. Van Vleck
Numerical Shadowing Near Hyperbolic Trajectories. SIAM J. Sci. Comput. 16 (5) (1995)
Shui-Nee Chow, Erik S. Van Vleck
A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs. SIAM J. Sci. Comput. 15 (4) (1994)
Ron Shonkwiler, Erik S. Van Vleck
Parallel Speed-Up of Monte Carlo Methods for Global Optimization. J. Complex. 10 (1) (1994)