Erik S. Van Vleck

According to our database, Erik S. Van Vleck authored at least 33 papers between 1994 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Projected data assimilation using sliding window proper orthogonal decomposition.

Aishah Albarakati, Marko Budisic, Erik S. Van Vleck

J. Comput. Phys., 2024

2022

A metric tensor approach to data assimilation with adaptive moving meshes.

Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang

J. Comput. Phys., 2022

Model and data reduction for data assimilation: Particle filters employing projected forecasts and data with application to a shallow water model.

Aishah Albarakati, Marko Budisic, Rose Crocker, Juniper Glass-Klaiber, Sarah Iams, John Maclean, Noah Marshall, Colin Roberts, Erik S. Van Vleck

Comput. Math. Appl., 2022

2018

Projected Shadowing-Based Data Assimilation.

Bart de Leeuw, Svetlana Dubinkina, Jason Frank, Andrew J. Steyer, Xuemin Tu, Erik S. Van Vleck

SIAM J. Appl. Dyn. Syst., 2018

Preface of 2nd Annual Meeting of SIAM Central States Section.

Xiaoming He, Stephen Pankavich, Erik S. Van Vleck, Zhu Wang, Xiu Ye

Comput. Math. Appl., 2018

2016

A step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theory.

Andrew J. Steyer, Erik S. Van Vleck

J. Comput. Appl. Math., 2016

Preface - SI: SIAM-2015.

Xiaoming He, Jiangguo Liu, Erik S. Van Vleck

J. Comput. Appl. Math., 2016

Global error analysis and inertial manifold reduction.

Yu-Min Chung, Andrew J. Steyer, Michael Tubbs, Erik S. Van Vleck, Mihir Vedantam

J. Comput. Appl. Math., 2016

2015

Propagation of Periodic Patterns in a Discrete System with Competing Interactions.

Anna Vainchtein, Erik S. Van Vleck, Aijun Zhang

SIAM J. Appl. Dyn. Syst., 2015

2014

Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations.

Dimitri Breda, Erik S. Van Vleck

Numerische Mathematik, 2014

2013

Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems.

Hermen Jan Hupkes, Erik S. Van Vleck

SIAM J. Math. Anal., 2013

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations.

Changna Lu, Weizhang Huang, Erik S. Van Vleck

J. Comput. Phys., 2013

2011

Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion.

A. R. Humphries, Brian E. Moore, Erik S. Van Vleck

SIAM J. Appl. Math., 2011

Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model.

Maila Brucal-Hallare, Erik S. Van Vleck

SIAM J. Appl. Dyn. Syst., 2011

On the error in approximating stability spectra for discrete dynamical systems.

Melissa Menning, Erik S. Van Vleck

Math. Comput. Simul., 2011

<i>QR</i> methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations.

Vu Hoang Linh, Volker Mehrmann, Erik S. Van Vleck

Adv. Comput. Math., 2011

2010

On the Error in the Product QR Decomposition.

Erik S. Van Vleck

SIAM J. Matrix Anal. Appl., 2010

2008

On the Error in QR Integration.

Luca Dieci, Erik S. Van Vleck

SIAM J. Numer. Anal., 2008

2006

Traveling Wave Solutions to a Coupled System of Spatially Discrete Nagumo Equations.

Michael D. Bateman, Erik S. Van Vleck

SIAM J. Appl. Math., 2006

2005

Spatially Discrete FitzHugh--Nagumo Equations.

Christopher E. Elmer, Erik S. Van Vleck

SIAM J. Appl. Math., 2005

Computation of Mixed Type Functional Differential Boundary Value Problems.

Kate A. Abell, Christopher E. Elmer, A. R. Humphries, Erik S. Van Vleck

SIAM J. Appl. Dyn. Syst., 2005

On the error in computing Lyapunov exponents by QR Methods.

Luca Dieci, Erik S. Van Vleck

Numerische Mathematik, 2005

2003

Orthonormal integrators based on Householder and Givens transformations.

Luca Dieci, Erik S. Van Vleck

Future Gener. Comput. Syst., 2003

2002

Lyapunov Spectral Intervals: Theory and Computation.

Luca Dieci, Erik S. Van Vleck

SIAM J. Numer. Anal., 2002

2001

Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic Diffusion.

Christopher E. Elmer, Erik S. Van Vleck

SIAM J. Appl. Math., 2001

2000

Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result.

Erik S. Van Vleck

SIAM J. Sci. Comput., 2000

Mosaic solutions and Spatial Entropy for a Class of Neural Network Models.

Barbara Jennings, Erik S. Van Vleck

Int. J. Bifurc. Chaos, 2000

1999

Computation of orthonormal factors for fundamental solution matrices.

Luca Dieci, Erik S. Van Vleck

Numerische Mathematik, 1999

1998

Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice.

Erik S. Van Vleck, John Mallet-Paret, John W. Cahn

SIAM J. Appl. Math., 1998

Diffusion Induced Chaos in a Closed Loop Thermosyphon.

Aníbal Rodríguez-Bernal, Erik S. Van Vleck

SIAM J. Appl. Math., 1998

1995

Numerical Shadowing Near Hyperbolic Trajectories.

Erik S. Van Vleck

SIAM J. Sci. Comput., 1995

1994

A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs.

Shui-Nee Chow, Erik S. Van Vleck

SIAM J. Sci. Comput., 1994

Parallel Speed-Up of Monte Carlo Methods for Global Optimization.

Ron Shonkwiler, Erik S. Van Vleck

J. Complex., 1994