Erik S. Van Vleck - researchr alias

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Viewing Publication 1 - 32 from 32

2022

2018

Projected Shadowing-Based Data AssimilationBart de Leeuw, Svetlana Dubinkina, Jason Frank, Andrew J. Steyer, Xuemin Tu, Erik S. Van Vleck. siamads, 17(4):2446-2477, 2018. [doi]

Preface of 2nd Annual Meeting of SIAM Central States SectionXiaoming He, Stephen Pankavich, Erik S. Van Vleck, Zhu Wang, Xiu Ye. cma, 75(Issue):1851, 2018. [doi]

2016

Global error analysis and inertial manifold reductionYu-Min Chung, Andrew J. Steyer, Michael Tubbs, Erik S. Van Vleck, Mihir Vedantam. jcam, 307:204-215, 2016. [doi]

Preface - SI: SIAM-2015Xiaoming He, Jiangguo Liu, Erik S. Van Vleck. jcam, 307:1, 2016. [doi]

A step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theoryAndrew J. Steyer, Erik S. Van Vleck. jcam, 292:703-719, 2016. [doi]

2015

Propagation of Periodic Patterns in a Discrete System with Competing InteractionsAnna Vainchtein, Erik S. Van Vleck, Aijun Zhang. siamads, 14(2):523-555, 2015. [doi]

2014

Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equationsDimitri Breda, Erik S. Van Vleck. nm, 126(2):225-257, 2014. [doi]

2013

Negative Diffusion and Traveling Waves in High Dimensional Lattice SystemsHermen Jan Hupkes, Erik S. Van Vleck. siamma, 45(3):1068-1135, 2013. [doi]

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equationsChangna Lu, Weizhang Huang, Erik S. Van Vleck. jcphy, 242:24-36, 2013. [doi]

2011

2010

On the Error in the Product QR DecompositionErik S. Van Vleck. siammax, 31(4):1775-1791, 2010. [doi]

2008

On the Error in QR IntegrationLuca Dieci, Erik S. Van Vleck. siamnum, 46(3):1166-1189, 2008. [doi]

2006

Traveling Wave Solutions to a Coupled System of Spatially Discrete Nagumo EquationsMichael D. Bateman, Erik S. Van Vleck. siamam, 66(3):945-976, 2006. [doi]

2005

Computation of Mixed Type Functional Differential Boundary Value ProblemsKate A. Abell, Christopher E. Elmer, A. R. Humphries, Erik S. Van Vleck. siamads, 4(3):755-781, 2005. [doi]

On the error in computing Lyapunov exponents by QR MethodsLuca Dieci, Erik S. Van Vleck. nm, 101(4):619-642, 2005. [doi]

Spatially Discrete FitzHugh--Nagumo EquationsChristopher E. Elmer, Erik S. Van Vleck. siamam, 65(4):1153-1174, 2005. [doi]

2003

Orthonormal integrators based on Householder and Givens transformationsLuca Dieci, Erik S. Van Vleck. fgcs, 19(3):363-373, 2003. [doi]

2002

Lyapunov Spectral Intervals: Theory and ComputationLuca Dieci, Erik S. Van Vleck. siamnum, 40(2):516-542, 2002. [doi]

2001

Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic DiffusionChristopher E. Elmer, Erik S. Van Vleck. siamam, 61(5):1648-1679, 2001. [doi]

2000

Mosaic solutions and Spatial Entropy for a Class of Neural Network ModelsBarbara Jennings, Erik S. Van Vleck. IJBC, 10(7):1661-1676, 2000. [doi]

Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point ResultErik S. Van Vleck. siamsc, 22(3):787-801, 2000. [doi]

1999

Computation of orthonormal factors for fundamental solution matricesLuca Dieci, Erik S. Van Vleck. nm, 83(4):599-620, 1999. [doi]

1998

Diffusion Induced Chaos in a Closed Loop ThermosyphonAníbal Rodríguez-Bernal, Erik S. Van Vleck. siamam, 58(4):1072-1093, 1998. [doi]

Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial LatticeErik S. Van Vleck, John Mallet-Paret, John W. Cahn. siamam, 59(2):455-493, 1998. [doi]

1995

Numerical Shadowing Near Hyperbolic TrajectoriesErik S. Van Vleck. siamsc, 16(5):1177-1189, 1995. [doi]

1994

A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEsShui-Nee Chow, Erik S. Van Vleck. siamsc, 15(4):959-976, 1994. [doi]

Parallel Speed-Up of Monte Carlo Methods for Global OptimizationRon Shonkwiler, Erik S. Van Vleck. jc, 10(1):64-95, 1994. [doi]

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