Parallel Speed-Up of Monte Carlo Methods for Global Optimization. - Ron Shonkwiler; Erik S. Van Vleck (J. Complex., 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)

Numerical Shadowing Near Hyperbolic Trajectories. - Erik S. Van Vleck (SIAM J. Sci. Comput., 1995)

Diffusion Induced Chaos in a Closed Loop Thermosyphon. - Aníbal Rodríguez-Bernal; Erik S. Van Vleck (SIAM J. Appl. Math., 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)

Computation of orthonormal factors for fundamental solution matrices. - Luca Dieci; Erik S. Van Vleck (Numerische Mathematik, 1999)

Mosaic solutions and Spatial Entropy for a Class of Neural Network Models. - Barbara Jennings; Erik S. Van Vleck (Int. J. Bifurc. Chaos, 2000)

Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result. - Erik S. Van Vleck (SIAM J. Sci. Comput., 2000)

Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic Diffusion. - Christopher E. Elmer; Erik S. Van Vleck (SIAM J. Appl. Math., 2001)

Lyapunov Spectral Intervals: Theory and Computation. - Luca Dieci; Erik S. Van Vleck (SIAM J. Numer. Anal., 2002)

Orthonormal integrators based on Householder and Givens transformations. - Luca Dieci; Erik S. Van Vleck (Future Gener. Comput. Syst., 2003)

On the error in computing Lyapunov exponents by QR Methods. - Luca Dieci; Erik S. Van Vleck (Numerische Mathematik, 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)

Spatially Discrete FitzHugh–Nagumo Equations. - Christopher E. Elmer; Erik S. Van Vleck (SIAM J. Appl. Math., 2005)

Traveling Wave Solutions to a Coupled System of Spatially Discrete Nagumo Equations. - Michael D. Bateman; Erik S. Van Vleck (SIAM J. Appl. Math., 2006)

On the Error in QR Integration. - Luca Dieci; Erik S. Van Vleck (SIAM J. Numer. Anal., 2008)

On the Error in the Product QR Decomposition. - Erik S. Van Vleck (SIAM J. Matrix Anal. Appl., 2010)

QR 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)

On the error in approximating stability spectra for discrete dynamical systems. - Melissa Menning; Erik S. Van Vleck (Math. Comput. Simul., 2011)

Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model. - Maila Brucal-Hallare; Erik S. Van Vleck (SIAM J. Appl. Dyn. Syst., 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)

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)

Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems. - Hermen Jan Hupkes; Erik S. Van Vleck (SIAM J. Math. Anal., 2013)

Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations. - Dimitri Breda; Erik S. Van Vleck (Numerische Mathematik, 2014)

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)

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)

Preface - SI: SIAM-2015. - Xiaoming He; Jiangguo Liu; Erik S. Van Vleck (J. Comput. Appl. Math., 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 of 2nd Annual Meeting of SIAM Central States Section. - Xiaoming He; Stephen Pankavich; Erik S. Van Vleck; Zhu Wang 003; Xiu Ye (Comput. Math. Appl., 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)

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)

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)

Projected data assimilation using sliding window proper orthogonal decomposition. - Aishah Albarakati; Marko Budisic; Erik S. Van Vleck (J. Comput. Phys., 2024)

Robust Adaptive Meshing, Mesh Density Functions, and Nonlocal Observations for Ensemble Based Data Assimilation. - Jeremiah Buenger; Weizhang Huang; Erik S. Van Vleck (CoRR, 2025)