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All issues Volume 49 / No 5 (September-October 2015) ESAIM: M2AN, 49 5 (2015) 1451-1461 References
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Issue
ESAIM: M2AN
Volume 49, Number 5, September-October 2015
Page(s) 1451 - 1461
DOI https://doi.org/10.1051/m2an/2015018
Published online 02 September 2015
  1. J.T. Beale, Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm. SIAM J. Numer. Anal. 47 (2009) 2476–2495. [CrossRef] [Google Scholar]
  2. J.T. Beale and A.T. Layton, On the accuracy of finite difference methods for elliptic problems with interfaces. Commun. Appl. Math. Comput. Sci. 1 (2006) 91–119. [CrossRef] [MathSciNet] [Google Scholar]
  3. M. Bondesson, Interior a priori estimates in discrete lp norms for solutions of parabolic and elliptic difference equations. Ann. Mat. Pura Appl. 95 (1973) 1–43. [CrossRef] [MathSciNet] [Google Scholar]
  4. W. Hackbusch, On the regularity of difference schemes. Ark. Mat. 19 (1981) 71–95. [CrossRef] [MathSciNet] [Google Scholar]
  5. W. Hackbusch, On the regularity of difference schemes part ii. regularity estimates for linear and nonlinear problems, Ark. Mat. 21 (1983) 3–28. [CrossRef] [MathSciNet] [Google Scholar]
  6. M. Pruitt, Maximum Norm Regularity of Implicit Difference Methods for Parabolic Equations. Ph.D. Thesis, Duke University (2011). [Google Scholar]
  7. M. Pruitt, Large time step maximum norm regularity of l-stable difference methods for parabolic equations. Numer. Math. (2014) 1–37. [Google Scholar]
  8. M. Renardy and R. Rogers, An Introduction to Partial Differential Equations. Texts Appl. Math. Springer (2004). [Google Scholar]
  9. A. Samarskii, The Theory of Difference Schemes. Pure Appl. Math., Marcel Decker (2001). [Google Scholar]
  10. I.J. Schoenberg, The finite fourier series and elementary geometry. Amer. Math. Mont. 57 (1950) 390–404. [CrossRef] [Google Scholar]
  11. D.C. Shreve, Interior Estimates in lp for Elliptic Difference Operators. SIAM J. Numer. Anal. 10 (1973) 69–80. [CrossRef] [Google Scholar]
  12. S.L. Sobolev, On estimates for certain sums for functions defined on a grid, Izv. Akad. Nauk SSSR, Ser. Mat. 4 (1940) 5–16. [Google Scholar]
  13. J.C. Strikwerda, B.A. Wade and K.P. Bube, Regularity estimates up to the boundary for elliptic systems of difference equations. SIAM J. Numer. Anal. 27 (1990) 292–322. [CrossRef] [Google Scholar]
  14. V. Thomée, Discrete interior schauder estimates for elliptic difference operators. SIAM J. Numer. Anal. 5 (1968) 626–645. [CrossRef] [Google Scholar]
  15. V. Thomée and B. Westergren, Elliptic difference equations and interior regularity. Numer. Math. 11 (1968) 196–210. [CrossRef] [MathSciNet] [Google Scholar]

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