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All issues Volume 49 / No 4 (July-August 2015) ESAIM: M2AN, 49 4 (2015) 1047-1062 References
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Issue
ESAIM: M2AN
Volume 49, Number 4, July-August 2015
Page(s) 1047 - 1062
DOI https://doi.org/10.1051/m2an/2015002
Published online 30 June 2015
  1. AIAA Guide for the verification and validation of computational fluid dynamics simulations. AIAA (1998) G-077. [Google Scholar]
  2. P.I. Dudnikov and S.N. Samborski, Linear overdetermined systems of partial differential equations, in Partial Differential Equations VIII, edited by M.A. Shubin. Vol. 65 of Encycl. Math. Sci. Springer (1996) 1–86. [Google Scholar]
  3. A. Ern and J.-L. Guermond, Theory and practice of finite elements. Vol. 159 of Appl. Math. Sci. Springer-Verlag, New York (2004). [Google Scholar]
  4. R. Ghanem and A. Doostan, On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data. J. Comput. Phys. 217 (2006) 63–81. [CrossRef] [Google Scholar]
  5. R. Ghanem and P. Spanos, Stochastic finite elements: A spectral approach. Springer Verlag, New York (1991). [Google Scholar]
  6. G. Iaccarino, Quantification of uncertainty in flow simulations using probabilistic methods. VKI Lect. Series (2008). [Google Scholar]
  7. K. Krupchyk, W. Seiler and J. Tuomela, Overdetermined elliptic systems. Found. Comp. Math. 6 (2006) 309–351. [CrossRef] [Google Scholar]
  8. K. Krupchyk and J. Tuomela, Completion of overdetermined parabolic PDEs. J. Symb. Comput. 43 (2008) 153–167. [CrossRef] [Google Scholar]
  9. O.P. Le Maître and O.M. Knio, Spectral methods for uncertainty quantification. Scientific Computation. Springer, New York (2010). [Google Scholar]
  10. Y. Lim, S. Chang and S. Jørgensen, A novel partial differential algebraic equation (PDAE) solver: iterative spacetime conservation element/solution element (CE/SE) method. Comput. Chem. Eng. 28 (2004) 1309–1324. [CrossRef] [Google Scholar]
  11. Y. Lim, S. Jørgensen and I. Kim, Computer-aided model analysis for ionic strength-dependent effective charge of protein in ion-exchange chromatography. Biochem. Eng. J. 25 (2005) 125–140. [CrossRef] [Google Scholar]
  12. B. Mohammadi and J. Tuomela, Simplifying numerical solution of constrained PDE systems through involutive completion. ESAIM: M2AN 39 (2005) 909–929. [CrossRef] [EDP Sciences] [Google Scholar]
  13. B. Mohammadi and J. Tuomela, Involutive upgrade of Navier–Stokes solvers. IJCFD 23-6 (2009) 439–447. [Google Scholar]
  14. B. Mohammadi and J. Tuomela, Involutive formulation and simulation for electroneutral microfluids. ESAIM: M2AN 45 (2011) 901–913. [CrossRef] [EDP Sciences] [Google Scholar]
  15. G. Obinata and B. Anderson, Model reduction for control system design. Springer, Berlin (2000). [Google Scholar]
  16. J. F. Pommaret, Systems of partial differential equations and Lie pseudogroups. Vol. 14 of Math. Appl. Gordon and Breach Science Publishers (1978). [Google Scholar]
  17. Z. Qu, Model order reduction techniques with applications in finite element analysis. Springer, Berlin (2004). [Google Scholar]
  18. W. Schilders, H. Van der Vorst and J. Rommes, Model order reduction: Theory, research aspects and applications. Vol. 13 of Springer Math Indus. Series. Berlin (2008). [Google Scholar]
  19. W.M. Seiler, Involution – the formal theory of differential equations and its applications in computer algebra. Vol. 24 of Algorithms Comput. Math. Springer (2010). [Google Scholar]
  20. R. Smith, Uncertainty quantification. Vol. 12 of Comput. Sci. Eng. SIAM, Philadelphia, PA (2014). [Google Scholar]
  21. D. Spencer, Overdetermined systems of linear partial differential equations. Bull. Am. Math. Soc. 75 (1969) 179–239. [CrossRef] [MathSciNet] [Google Scholar]
  22. D. Xiu, Numerical methods for stochastic computations: A spectral method approach. Princeton University Press (2010). [Google Scholar]

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