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Erik S. Van Vleck
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- affiliation: University of Kansas, Lawrence, USA
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2020 – today
- 2024
- [j33]Aishah Albarakati, Marko Budisic, Erik S. Van Vleck:
Projected data assimilation using sliding window proper orthogonal decomposition. J. Comput. Phys. 514: 113235 (2024) - 2022
- [j32]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: 194-211 (2022) - [j31]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: 111407 (2022) - 2021
- [i1]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 abs/2109.05990 (2021)
2010 – 2019
- 2018
- [j30]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): 1851 (2018) - [j29]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): 2446-2477 (2018) - 2016
- [j28]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: 703-719 (2016) - [j27]Xiaoming He, Jiangguo Liu, Erik S. Van Vleck:
Preface - SI: SIAM-2015. J. Comput. Appl. Math. 307: 1 (2016) - [j26]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: 204-215 (2016) - 2015
- [j25]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): 523-555 (2015) - 2014
- [j24]Dimitri Breda, Erik S. Van Vleck:
Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations. Numerische Mathematik 126(2): 225-257 (2014) - 2013
- [j23]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: 24-36 (2013) - [j22]Hermen Jan Hupkes, Erik S. Van Vleck:
Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems. SIAM J. Math. Anal. 45(3): 1068-1135 (2013) - 2011
- [j21]Vu Hoang Linh, Volker Mehrmann, Erik S. Van Vleck:
QR methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations. Adv. Comput. Math. 35(2-4): 281-322 (2011) - [j20]Melissa Menning, Erik S. Van Vleck:
On the error in approximating stability spectra for discrete dynamical systems. Math. Comput. Simul. 81(5): 1006-1016 (2011) - [j19]Maila Brucal-Hallare, Erik S. Van Vleck:
Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model. SIAM J. Appl. Dyn. Syst. 10(3): 921-959 (2011) - [j18]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): 1374-1400 (2011) - 2010
- [j17]Erik S. Van Vleck:
On the Error in the Product QR Decomposition. SIAM J. Matrix Anal. Appl. 31(4): 1775-1791 (2010)
2000 – 2009
- 2008
- [j16]Luca Dieci, Erik S. Van Vleck:
On the Error in QR Integration. SIAM J. Numer. Anal. 46(3): 1166-1189 (2008) - 2006
- [j15]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): 945-976 (2006) - 2005
- [j14]Luca Dieci, Erik S. Van Vleck:
On the error in computing Lyapunov exponents by QR Methods. Numerische Mathematik 101(4): 619-642 (2005) - [j13]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): 755-781 (2005) - [j12]Christopher E. Elmer, Erik S. Van Vleck:
Spatially Discrete FitzHugh--Nagumo Equations. SIAM J. Appl. Math. 65(4): 1153-1174 (2005) - 2003
- [j11]Luca Dieci, Erik S. Van Vleck:
Orthonormal integrators based on Householder and Givens transformations. Future Gener. Comput. Syst. 19(3): 363-373 (2003) - 2002
- [j10]Luca Dieci, Erik S. Van Vleck:
Lyapunov Spectral Intervals: Theory and Computation. SIAM J. Numer. Anal. 40(2): 516-542 (2002) - 2001
- [j9]Christopher E. Elmer, Erik S. Van Vleck:
Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic Diffusion. SIAM J. Appl. Math. 61(5): 1648-1679 (2001) - 2000
- [j8]Barbara Jennings, Erik S. Van Vleck:
Mosaic solutions and Spatial Entropy for a Class of Neural Network Models. Int. J. Bifurc. Chaos 10(7): 1661-1676 (2000) - [j7]Erik S. Van Vleck:
Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result. SIAM J. Sci. Comput. 22(3): 787-801 (2000)
1990 – 1999
- 1999
- [j6]Luca Dieci, Erik S. Van Vleck:
Computation of orthonormal factors for fundamental solution matrices. Numerische Mathematik 83(4): 599-620 (1999) - 1998
- [j5]Aníbal Rodríguez-Bernal, Erik S. Van Vleck:
Diffusion Induced Chaos in a Closed Loop Thermosyphon. SIAM J. Appl. Math. 58(4): 1072-1093 (1998) - [j4]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): 455-493 (1998) - 1995
- [j3]Erik S. Van Vleck:
Numerical Shadowing Near Hyperbolic Trajectories. SIAM J. Sci. Comput. 16(5): 1177-1189 (1995) - 1994
- [j2]Ron Shonkwiler, Erik S. Van Vleck:
Parallel Speed-Up of Monte Carlo Methods for Global Optimization. J. Complex. 10(1): 64-95 (1994) - [j1]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): 959-976 (1994)
Coauthor Index
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