Research Interests
Multiscale methods for partial differential equations
A posteriori analysis for numerical solution of differential equations
Finite volume and finite difference methods
Numerical and iterative methods for partial differential equations
Mathematical and numerical model for flow in porous media
Ph.D. Advisors
Raytcho Lazarov
Yalchin Efendiev
Refereed Publications
| 18. |
L. JIANG, Y. EFENDIEV, V. GINTING,
Global Multiscale Methods for Acoustic Wave Equations with Continuum Scales,
submitted to SIAM Journal of Numerical Analysis (2007).
[ abstract ;
pdf file ]
|
| 17. |
J. CHU, Y. EFENDIEV, V. GINTING, T. HOU,
Flow Based Oversampling Technique for Multiscale Finite Element Methods,
Advances in Water Resources, 31 (2008), no. 4, pp. 599-608.
[ abstract ;
pdf file ]
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| 16. |
D. ESTEP, V. GINTING, D. ROPP,
J. SHADID, S. TAVENER,
An A Posteriori-A Priori Analysis of Multiscale Operator Splitting,
SIAM Journal of Numerical Analysis, 46 (2008), no. 3, pp. 1116-1146.
[ abstract ;
pdf file ]
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| 15. |
R. EWING, Y. EFENDIEV,
V. GINTING, H. WANG,
Upscaling of Transport Equations for Multiphase and Multicomponent Flows,
Lecture Notes in Computational Science and Engineering,
60 (2008), pp. 193-200.
[ abstract ;
pdf file ]
|
| 14. |
C. BI, V. GINTING,
Two-Grid Finite Volume Element Method for Linear and Nonlinear
Elliptic Problems,
Numerische Mathematik, 108 (2007), no. 2, pp. 177-198.
[ abstract ;
pdf file ]
|
| 13. |
L. JIANG, Y. EFENDIEV, V. GINTING,
Multiscale Methods for Parabolic Equations with Continuum Spatial Scales,
Discrete Contin. Dyn. Syst. Ser. B, 2 (2007), no. 4,
pp. 833-859.
[ abstract ;
pdf file ]
|
| 12. |
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), no. 3, pp. 576-588.
[ abstract ;
pdf file ]
|
| 11. |
C. DOUGLAS, Y. EFENDIEV, R. EWING,
V. GINTING, R. LAZAROV,
Dynamic Data Driven Simulations in Stochastic Environments,
Computing, 77 (2006), pp. 321-332.
[ abstract ;
pdf file ]
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| 10. |
Y. EFENDIEV, V. GINTING, T. HOU,
R. EWING,
Accurate Multiscale Finite Element Methods for Two-Phase Flow Simulations,
J. Comput. Phys., 220 (2006), pp. 155-174.
[ abstract ;
pdf file ]
|
| 9. |
C. DOUGLAS, D. LI, Y. EFENDIEV,
R. EWING, V. GINTING, R. LAZAROV,
The Use of Sampling Techniques in Dynamic Data Driven Simulations,
Proceedings of the 7th China-Japan Joint Seminar for Computational
Mathematics and Scientific Computing, (z. Shi and H. Okamoto, eds.),
Science Press, Beijing, (2006), pp. 211-220.
[ abstract ;
pdf file ]
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| 8. |
Y. EFENDIEV, A. DATTA-GUPTA,
V. GINTING, X. MA, B. MALLICK,
An Efficient Two-Stage Markov Chain Monte Carlo Method for Dynamic Data
Integration, Water Resour. Res., 41, W12423 (2005).
[ abstract ;
pdf file ]
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| 7. |
P. CHATZIPANTELIDIS, V. GINTING,
R. LAZAROV,
A Finite Volume Element Method for Nonlinear
Elliptic Problems, Numer. Linear Algebra Appl., 12
(2005), pp. 515-546.
[ abstract ;
pdf file ]
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| 6. |
C. DOUGLAS,
Y. EFENDIEV, R. EWING,
V. GINTING, R. LAZAROV,
M. COLE, G. JONES,
C. JOHNSON,
Multiscale Interpolation, Backward in Time
Error Analysis for Data-Driven Contaminant Simulation,
Lecture Notes in Computer Science, 3515 (2005), pp. 640-647.
[ abstract ;
pdf file ]
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| 5. |
Y. EFENDIEV, T. HOU, V. GINTING,
Multiscale Finite Element Methods for Nonlinear Problems and Their
Applications, Comm. Math. Sci. 2 no. 4 (2004), pp. 553-589.
[ abstract ;
pdf file ]
|
| 4. |
V. GINTING,
Analysis of Two-Scale Finite Volume Element Method
for Elliptic Problem, J. Numer. Math.,
12 no. 2 (2004), pp. 119-141.
[ abstract ;
pdf file ]
|
| 3. |
V. GINTING, R. EWING, Y. EFENDIEV,
AND R. LAZAROV,
Upscaled Modeling in Multiphase Flow Applications,
Comp. Appl. Math., 23 no. 2-3 (2004), pp. 213-233.
[ abstract ;
pdf file ]
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| 2. |
C. DOUGLAS, C. SHANNON,
Y. EFENDIEV, R. EWING,
V. GINTING, R. LAZAROV,
M. COLE, G. JONES,
C. JOHNSON, J. SIMPSON,
A Note on Data-Driven Contaminant Simulation,
Lecture Notes in Computer Science, 3038 (2004), pp. 701-708.
[ abstract ;
pdf file ]
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| 1. |
C. DOUGLAS, C. SHANNON,
Y. EFENDIEV, R. EWING,
V. GINTING, R. LAZAROV,
M. COLE, G. JONES,
C. JOHNSON, J. SIMPSON,
Using A Virtual Telemetry Methodology for Dynamic Data-Driven
Application Simulation, in F. Darema, ed.: Dynamic Data-Driven
Applications Systems, Kluwer, Amsterdam.
[ abstract ;
pdf file ]
|
Non Refereed Publications
| 2. |
C. DOUGLAS, Y. EFENDIEV, R. EWING,
V. GINTING, R. LAZAROV,
M. COLE, G. JONES, C. JOHNSON,
Dynamic Data-Driven Contaminant Simulation, Current Trends in High Performance
Computing and Its Applications, Springer-Verlag, Heidelberg, pp. 25-36.
[ abstract ;
pdf file ]
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| 1. |
C. DOUGLAS, C. SHANNON,
Y. EFENDIEV, R. EWING,
V. GINTING, R. LAZAROV,
M. COLE, G. JONES,
C. JOHNSON, J. SIMPSON,
A Note on Dynamic Data Driven Application Simulation (DDDAS) using Virtual
Telemetry,
International Conference on Parallel Algorithms and Computing
Environments (2003).
[ pdf file ]
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