JOURNAL PUBLICATIONS:

1. Y. Efendiev, Hardness of the elastic medium when a solid is turned in it , V-Mosk-Mekh (6),   pp. 76-78 (1994)

2. A. Yu. Beliaev and Y. Efendiev, Homogenization of the Stokes equations with random potential,   Math. Notes, v59 (3-4),   pp. 361-372 (1996)

3. Y. Efendiev, T. Hou, X. Wu, Convergence of a nonconformal multiscale finite element method, SIAM in J. Num. Anal. 37, 888-910 (2000)

4. Y. Efendiev and X.H. Wu, Multiscale finite element methods for the problems with highly oscillatory coefficients,    Numerische Math., vol.90(3), 2002

5. Y. Efendiev and M. Luskin, Stability of microstructures for some martensitic transformations, Mathematical and Computer Modelling, v.34 (2001), pp. 1289-1305

6. Y. Efendiev and M. R. Zachariah, A model for two component aerosol coagulation and phase separation: A method for changing the growth of nanoparticles, Chemical Engineering Science. 56, 5763 ( 2001)

7. Y. Efendiev, L. Durlofsky, and S. Lee, Modeling of subgrid effects in coarse-scale simulations of transport in heterogeneous porous media, Water Resources Research, 36(8),2000, 2031-2041

8. Efendiev and L. Durlofsky, Numerical Modeling of Subgrid Heterogeneity in Two Phase Flow Simulations, Water. Resour. Res., 38(8), 1128, 2002

9. Y. Efendiev and M.R. Zachariah, Hybrid Monte-Carlo method for simulation of two-component aerosol coagulation and phase segregation, J. Colloid and Interface Science 249(1), 30-43 (2002)

10. Y. Efendiev, H. Struchtrup, M. Luskin, M. R. Zachariah, A hybrid sectional-moment model for coagulation and phase segregation in binary liquid nanodroplets, J. Nanoparticle Research 4, 61-72 (2002)

11. Y. Efendiev and M. Zachariah, Hierarchical hybrid Monte-Carlo method for simulation of two-component aerosol nucleation, coagulation and phase segregation, J. Aerosol Sci. 34 (2003), 169-188

12. X.H. Wu, Y. Efendiev, T. Hou, Analysis of upscaling absolute permeability,   Discre te and Continuous Dynamical Systems - Series B, Vol. 2(2), 2002, pp. 185-204

13. Y. Efendiev and L. Durlofsky, A generalized convection-diffusion model for subgrid transport in porous media, SIAM MMS, vol.1(3), pp.504-526

14. Y. Efendiev and A. Pankov, Numerical homogenization of monotone operators, SIAM MMS, vol.2 (1), pp.,62-79, 2004

15. Y. Efendiev and A. Pankov, Numerical homogenization of nonlinear random parabolic operators,   SIAM MMS 2(2), 2004, pp.237-268

16. Y. Efendiev and L. Durlofsky, Accurate subgrid m odels for two phase flow in heterogeneous reservoirs, SPE Journal, 9, 219-226 , 2004

17. Y. Efendiev and A. P ankov, Numerical homogenization and correctors for random nonlinear elliptic equations, SIAM J. Applied Math., 65 (1), 43-68

18. Y. Efendiev, "Mathematical Modeling and Simulation of multi-component aerosol coagulation", Journal of Computational and Applied Mathematics, vol. 23, 2-3, pp. 401-423, 2004

19. Y. Efendiev, A. Datta-Gupta, I. Osako, and B. Mallick, Multiscale data integration using coarse-scale models, Advances in Water Resources, 28 (3), pp. 3-3-314, 2004

20. V. Ginting, R. Ewing, Y. Efendiev and R. Lazarov, Upscaled Modeling in Multiphase Flow Applications, Journal of Computational and Applied Mathematics. vol. 23, 2-3, pp.213-233, 2004

21. Y. Efendiev, T. Hou and V. Ginting, Multiscale finite element methods for nonlinear partial differential equations, Comm. Math. Sci., 2(4), 2004

22. Y. Efendiev and A. Pankov, On homogenization of almost periodic nonlinear parabolic operators, International Journal of Evolution Equations, volume 1 (3), 2005

23. Y. Efendiev and B. Popov,   "On homogenization of nonlinear hyperbolic equations", to appear in Communications on Pure and Applied Analysis, 4(2), 2005, pp. 295-309

24. Y. Efendiev and A. Pankov, Homogenization of nonlinear random parabolic operators,   Advances in Differential Equations, vol. 10,Number 11, 2005, pp., 1235-1260

25. Y. Efendiev and A. Pankov, "Meyers type estimates for nonlinear elliptic equations and their applications", Discrete and Continuous Dynamical Systems - B, vol. 6, number 3, 2006, pp. 481-492

26. Efendiev, A. Datta-Gupta, V. Ginting, X. Ma and B. Mallick, An efficient two-stage Markov chain Monte Carlo methods for dynamic data integration, Water Resources Research , 41, W12423, doi:=10.1029/2004WR003764

27. J. Eberhard, Y. Efendiev, R. Ewing, A. Cunningham, Coupled cellular models for biofilm growth and hydrodynamic flow in a pipe, International Journal of Multiscale Engineering,
vol. 3, issue 4, 2005, pp. 499-516

28. Y. Efendiev, T. Hou, and W. Luo, "Preconditioning of MCMC simulations using coarse-scale models", SIAM. Sci. Comp. 28(2), pp. 776-803

29. Y. Efendiev, V. Ginting, T. Hou and R. Ewing, "Accurate multiscale finite element methods for two-phase flow simulations", J. Comp. Physics, 220 (1), pp. 155-174, 2006

30. P. Dostert, Y. Efendiev, T. Hou and W. Luo, Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification, Journal of Computational Physics, 217(1), pp.123-142

31.   L. Durlofsky, Y. Efendiev, V. Ginting, An adaptive local-global multiscale finite volume element method for two-phase flow simulations, Advances in Water Resources, 30 (2007) pp.576-588

32. J. Santos, Y. Efendiev, L. Guarracino,     Hydraulic Conductivity estimation in variable saturated soils using the adjoint method, Computer Methods in Applied Mechanics and Engineering, 196 (2006), no. 1-3, 161--179

33.   J. Aarnes and Y. Efendiev, An adaptive multiscale method for simulation of fluid flow in heterogeneous porous media,   SIAM MMS, Vol.5 (30), pp. 918-939

34. Y. Efendiev, L. Jiang, and A. Pankov, Individual homogenization of nonlinear parabolic operators, Applicable Analysis Vol. 85, No. 12, 2006, 1433-1457

35. Y. Efendiev and T. Hou, Multiscale finite element methods for porous media flows and their applications, Applied Numerical Mathematics, 57 (2007), pp. 577-596

36. C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, Dynamic data driven simulations in stochastic environments, Computing, 77 (2006), no.4, pp. 321-333.

37. Y. Efendiev and A. Pankov, Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications, Journal of Numerical Mathematics, Volume 13, Number 2 / June, 2005, pp. 105-118

38. L. Jiang, Y. Efendiev, V. Ginting, Multiscale methods for parabolic equations with continuum spatial scales. Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 4, 833--859

39. J. E. Aarnes, V. L. Hauge, and Y. Efendiev. Coarsening of three-dimensional structured and unstructured grids for subsurface flow. Advances in Water Resources, Vol. 30, Issue 11, November 2007, pp. 2177-2193. DOI: 10.1016/j.advwatres.2007.04.007

40. J.E. Aarnes and Y. Efendiev. Mixed multiscale finite element for stochastic porous media flows. SIAM Sci. Comp., Volume 30, Issue 5, pp. 2319-2339, 2008. DOI: 10.1137/07070108X.

41. J. E. Aarnes, Y. Efendiev, and L. Jiang. Mixed multiscale finite element methods using limited global information. Multiscale Modelling and Simulation, Volume 7, Issue 2, pp. 655-676, 2008. DOI: 10.1137/07068848

42. J.E. Aarnes and Y. Efendiev. A multiscale method for modeling transport in porous media on unstructured corner-point grids. Journal of Algorithms and Computational Technology, Volume 2, Number 2, pp. 299-318, 2008. DOI: 10.1260/17483010878464661

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PROCEEDING PUBLICATIONS:

1. C. C. Douglas, M. R. Cole, Y. Efendiev, R. Ewing, V. Ginting, G. Jones, C. R. Johnson, R. Lazarov, C. Shannon, and J. Simpson, A note on dynamic data driven application simulation (DDDAS) using virtual telemetry. Appeared in ICPACE 2003, J. Zou and X. Chi (eds.), Chinese University of Hong Kong, 2003, pp. 193-198.

2. Efendiev, Y., Durlofsky, L.J.: Accurate subgrid models for two phase flow in heterogeneous reservoirs, SPE paper 79680, presented at the SPE Reservoir Simulation Symposium, Houston, Feb. 3-5 (2003)

3. C. C. Douglas, Y. Efendiev, R. Ewing, R. Lazarov, M. R. Cole, C. R. Johnson, and G. Jones, Virtual telemetry middleware for DDDAS, in Computational Sciences - ICCS 2003, P. M. A. Sllot, D. Abramson, J. J. Dongarra, A. Y. Zomaya, and Yu. E. Gorbachev (eds.), 4 (2003), pp. 279--288

4. C. C. Douglas, C. Shannon, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. R. Cole, G.Jones, C. R. Johnson, and J. Simpson, Telemetry-Driven Application Simulations, Computational Sciences - ICCS 2004

5. Craig C. Douglas, Yalchin Efendiev, Richard Ewing, Raytcho Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson, Dynamic Data-Driven Application Simulations. Interpolation and Update, 2006 to Springer as a volume of the NATO Security Through Science¡ Series C Environmental Security. The book is entitled Air, Water and Soil Quality Modelling for Risk and Impact Assessment.

6. P. Popov, L. Bi, Y. Efendiev, R. Ewing, G. Qin, J. Li, Multi-physics and Multi-scale methods for modeling fluid flows through naturally fractured vuggy carbonate reservoirs, SPE 105378, 15th SPE Middle East Oil \& Gas Show and Conference, Kingdom of Bahrain, 11-14 March, 2007

7. X. Ma, M. Al-Harbi, A. Datta-Gupta, Y. Efendiev, Multi-stage sampling method for rapid quantification of uncertainty in history matching of geological models, SPE 102476, SPE Annual Conference and Exhibition, San Antonio, 24-27 September 2007

8. Y. Li, Y. Efendiev, R. E. Ewing, G.Qin, X.H. Wu, An accurate Multiphase Upscaling for Flow and Transport in Heterogeneous Porous Media, SPE 105377-PP, 15th SPE Middle East Oil & Gas Show and Conference, Kingdom of Bahrain, 11-14 March, 2007

9. Y. Wu, G. Qin, R. Ewing, Y. Efendiev, Z. Kang, Y. Ren, A Multiple-Continuum Approach for Modeling Multiphase Flow in Naturally Fractured Vuggy Petroleum Reservoirs, SPE 104173, 2006 SPE International Oil \& Gas Conference and Exhibition in China held in Beijing, China, 5-7 December 2006.

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