Publications

Software published

  1. DFEM-MMOC based EOR Code in MATLAB
    GitHub repository, publisher = GitHub, (2020)
    (with Sourav Dutta)

Refereed Journal Research Papers

  1. Modeling shear thinning polymer flooding using a dynamic viscosity model,
    Phys. Fluids, 2023; doi: 10.1063/5.0145061
    Paper hold the Shift key when you click on the Paper
    (with Rohit Mishra)

  2. Linear instability of interfacial Hele-Shaw flows of viscoelastic fluids,
    Journal of Non-Newtonian Fluid Mechanics,Vol. 309 (2022) 104923
    Paper Preprint
    (with Zhiying Hai)

  3. Linear instability of viscoelastic interfacial Hele-Shaw flows: a Newtonian fluid displacing an UCM fluid,
    Journal of Non-Newtonian Fluid Mechanics,Vol. 303 (2022) 104773
    Paper Preprint
    (with Zhiying Hai)

  4. Time-dependent injection strategies for multi-layer Hele-Shaw and porous media flows,
    Physical Review Fluids, Vol. 6, No. 3, Article No. 033901 (2021) DOI: 10.1103/PhysRevFluids.6.033901
    Paper
    (with Craig Gin)

  5. Stability Results on Radial Porous Media and Hele-Shaw Flows with Variable Viscosity between Two Moving Interfaces,
    IMA J. Appl. Math., 86(2), pp. 294-319, April 2021.
    Paper
    (with Craig Gin)

  6. On the Convergence analysis of a hybrid method for multicomponent transport in porous media,
    Appl. Numer. Math., vol. 146, pages 199-220, 2019; doi:10.1016/j.apnum.2019.07.009
    Paper
    (with Sourav Dutta)

  7. Modeling and Simulation of Surfactant-Polymer Flooding using a New Hybrid Method,
    J. Comp. Phys., 335, pp. 249-282, 2017; doi:10.1016/j.jcp.2017.01.038
    Paper
    (with Sourav Dutta)

  8. The FFTRR based Fast Direct Algorithms for the Complex Inhomogeneous Biharmonic Problems with Applications to Incompressible Flows,
    Numer. Algor., 75(4), pp. 937-971, 2017.
    doi:10.1007/11075-016-0226-4
    paper
    (with Aditi Ghosh)

  9. Studies on Dispersive Stabilization of Porous Media Flows,
    Phys. Fluids, 28, 082105, 2016; doi: 10.1063/1.4961162
    Paper
    (with Craig Gin)

  10. The FFTRR-based Fast Decomposition Methods for Solving Complex Biharmonic Problems and Incompressible Flows,
    IMA Journal of Numerical Analysis, 36(2), pp 824-850, 2016. doi: 10.1093/imanum/drv033
    Paper
    (with Aditi Ghosh)

  11. On a three-layer Hele-Shaw model of enhanced oil recovery with a linear viscous profile,
    ArXiv:1502.00380v1, 15 pages, 2 February, 2015.
    Paper
    (with Oscar Orellana and Rodrigo Meneses)

  12. A Study of a Non-Standard Eigenvalue Problem and its Application to Three-Layer Immiscible Porous Media and Hele-Shaw Flows with Exponential Viscous Profile,
    Journal of Mathematical Fluid Mechanics, 17(1), pp 155-181 2015. doi: 10.1007/s00021-014-0196-z
    This paper was submitted to this journal on September 3, 2014 and immediatey thereafter distributed among some of my colleagues.
    Paper
    (with Craig Gin)

  13. Stability Results for Multi-Layer Radial Hele-Shaw and Porous Media Flows,
    Physics of Fluids, 27, 012101 2014.
    http://dx.doi.org/10.1063/1.4904983
    Paper
    (with Craig Gin)

  14. Selection principle of optimal profiles for multi-layer Hele-Shaw flows and stabilization,
    Tran. Porous Media, 96(2), 353-367, 2013.
    doi:10.1007/s11242-012-0092-z
    Paper
    (with X. Ding)

  15. Universal Stability Properties for Multi-Layer Hele-Shaw Flows and Application to Instability Control,
    SIAM J. Appl. Math., Vol 72, No. 5, pp. 1667-1685, 2012.
    (with X. Ding)
    Paper

  16. On Stabilization of Multi-layer Hele-Shaw and Porous Media Flows in the Presence of Gravity,
    Tran. Porous Media, 95(2), 349-371, 2012.
    DOI: 10.1007/s11242-012-0048-3
    Paper

  17. Some Useful Upper Bounds for the Selection of Optimal Profiles,
    Physica A: Statistical Mechanics and its Applications, 391 (2012) pp. 4065-4069.
    doi:10.1016/j.physa.2012.03.041 Journal site 
    Paper 

  18. A Numerical Study of Instability Control for the Design of an Optimal Policy of Enhanced Oil Recovery by Tertiary Displacement Processes,
    Tran. Porous Media, 93(3), 675-703, 2012.
    doi: 10.1007/s11242-012-9977-0
    (with X. Ding) journal site
    Paper

  19. On an inverse problem: the recovery of non-smooth solutions to backward heat equation,
    Applied Mathematical Modeling, 36 (2012), 4003-4019.
    doi: 10.1016/j.apm.2011.11.020
    Paper 
    (with Fabien Ternat and Oscar Orellana)

  20. (Invited Paper) A brief review of some application driven fast algorithms for elliptic partial differential equations,
    Central European Journal of mathematics, 10(1), 2012, 204-216.
    doi: 10.2478/s11533-011-0103-2
    Paper 

  21. On estimates for short wave stability and long wave instability in 3-layer Hele-Shaw flows,
    Physica A: Statistical Mechanics and its Applications, 390 (2011) pp. 3069-3076
    doi:10.1016/j.physa.2011.04.028
    Paper 

  22. The effect of surfactant on long bubbles rising in vertical capillary tubes,
    J. Stat. Mech.,2011 (2011) 14 pages,
    Article Number L02003
    doi: 10.1088/1742-5468/2011/02/L02003
    (with Gelu Pasa)
    Paper 

  23. Two stable methods with numerical experiments for solving the backward heat equation,
    Appl. Numer. Math., 61(2) (2011) 266-284
    doi: 10.1016/j.apnum.2010.09.006
    (with Fabien Ternat and Oscar Orellana)
    Paper

  24. On Diffusive Slowdown in Three-Layer Hele-Shaw Flows,
    Quart. Appl. Math., Vol. LXVIII, Number 3, September 2010, 591-606
    (with Gelu Pasa)
    Paper 

  25. The effect of surfactant on the motion of long bubbles in horizontal capillary tubes,
    J. Stat. Mech., 2010 (2010) 12 pages.
    Article Number L02002
    doi: 10.1088/1742-5468/2010/02/L02002
    (with Gelu Pasa)
    Paper

  26. The thickening effect of interfacial surfactant in the drag-out coating problem,
    J. Stat. Mech., 2009 (2009) 10 pages
    Article Number L07002
    doi: 10.1088/1742-5468/2009/07/L07002
    (with Gelu Pasa)
    Paper

  27. Hydrodynamic Stability of Multi-Layer Hele-Shaw Flows
    J. Stat. Mech. 2008 (2008) 32 pages
    Article No. P12005
    doi: 10.1088/1742-5468/2008/12/P12005
    Paper

  28. Studies on Stability in Three-Layer Hele-Shaw Flows,
    Phys. Fluids, 20, Issue 11 (2008) 11 pages.
    Article No. 112101
    doi: 10.1063/1.3021476
    Paper

  29. On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media,
    Tran. Porous Media, 75, Issue 1 (2008) 1-16.
    doi: 10.1007/s11242-008-9211-2
    (with G. Pasa)
    Paper

  30. Nonlinear instability of Hele-Shaw flows with smooth viscous profiles,
    Journal of Differential Equations, 245, Issue 7 (2008) 1819-1837.
    doi: 10.1016/j.jde.2008.07.012
    (with Hyung Ju Hwang)
    Paper

  31. Stabilizing effect of Diffusion in Enhanced Oil Recovery and Three-Layer Hele-Shaw Flows with Viscosity Gradient,
    Tran. Porous Media, 70, Issue 1 (2007) 11-23.
    doi: 10.1007/s11242-007-9122-7
    (with G. Pasa)
    Paper

  32. Higher-order Boussinesq equations for two-way propagation of shallow water waves,
    Euro. J. Mech.-B/Fluids., 25, Issue 6 (2006) 1008-1021.
    doi: 10.1016/j.euromechflu.2006.02.003
    Paper

  33. A simple derivation of an upper bound in the presence of viscosity gradient in three-layer Hele-Shaw flows,
    J. Stat. Mech., 2006 (2006) 11 pages, P01014,
    doi: 10.1088/1742-5468/2006/01/P01014
    (with G. Pasa)
    Paper

  34. Trapped modes in a channel containing three-layers of fluids and a submerged cylinder,
    ZAMP (Zeitschrift für Angewandte Mathematik und Physik), 56, 1084-1097, 2005.
    (with A. Chakrabarti and Hamsapriye)
    doi:10.1007/s00033-005-5041-z
    Paper

  35. New bounds for stabilizing Hele-Shaw flows,
    Appl. Math. Lett., 18(11), pp. 1293-1303, 2005.
    (with G. Pasa)
    doi:10.1016/j.aml.2005.02.027
    Paper  Abstract

  36. On the growth rate for three-layer Hele-Shaw flows: Variable and constant viscosity cases,
    Intl. J. Engg. Sci., 43(11-12), pp. 877-884, 2005.
    (with G. Pasa)
    doi:10.1016/j.ijengsci.2005.03.006
    Paper

  37. On Axisymmetric Creeping Flows Involving a Hybrid Droplet,
    Physica A, 346(3-4), pp. 217-249, 2005.
    (with D. Palaniappan)
    doi: 10.1016/j.physa.2004.08.014
    Paper Abstract

  38. An optimal viscosity profile in enhanced oil recovery by polymer flooding,
    Intl. J. Engg. Sci., 42(19-20), pp. 2029-2039, 2004.
    (with G. Pasa)
    doi:10.1016/j.ijengsci.2004.07.008
    Paper Abstract

  39. A Domain Embedding Method Using Optimal Distributed Control and A Fast Algorithm,
    Numer. Algor., 36(2), pp. 95-112, 2004.
    (with L. Badea)
    Paper  Abstract

  40. An asymptotic study of film thinning process on a spinning annular disk,
    J. Appl. Phys., 94(6), pp. 4144-4151, 2003.
    (with B. Dandapat and P. C. Ray)
    doi: 10.1063/1.1600826
    Paper  Abstract

  41. On a Fourier Method of Embedding Domains Using an Optimal Distributed Control,
    Numer. Algor., 32, pp. 261-273, 2003.
    (with L. Badea)
    Paper  Abstract

  42. A Class of Model Equations for Bi-directional Propagation of Capillary-Gravity Waves,
    Intl. J. Engg. Sci., 41, pp. 201-218, 2003.
    (with R. Dash)
    doi: 10.1016/S0020-7225(02)00180-5
    Paper  Abstract

  43. A Fast Algorithm for Two-Dimensional Elliptical Problems,
    Numer. Algor., 30(3-4), pp. 199-239, 2002.
    (with L. Badea)
    Paper  Abstract

  44. An Inverse Problem for the Helmholtz Equation Involving Two Semi-infinite Fluids,
    Inv. Prob. Engg,, 10(3), pp. 203-214, 2002.
    (with A. Chakrabarti and S. Roy)
    Paper  Abstract

  45. Exterior Stokes Flows with Stick-Slip Boundary Conditions,
    ZAMP (Zeitschrift für Angewandte Mathematik und Physik), 53(2), 281-307, 2002.
    (with D. Palaniappan)
    Paper  Abstract

  46. A Numerical Study of Pulsatile Blood Flow in An Eccentric Catheterized Artery Using a Fast Algorithm,
    J. Engg. Math., 42(1), 1-22, 2002.
    (with R. Dash)
    Paper  Abstract

  47. Analytical and Numerical Studies of a Singularly Perturbed Boussinesq Equation,
    Appl. Math. Comput., 126(1), pp. 1-30, 2002.
    (with R. Dash)
    DOI: 10.1016/S0096-3003(01)00166-7 journal site
    Paper  Abstract

  48. Generalized Circle and Sphere Theorems for Inviscid and Viscous Flows with Applications,
    SIAM J. Appl. Math., 62(2), pp. 514-540, 2001.
    (with D. Palaniappan)
    Paper  Abstract

  49. Singularity Induced Exterior and Interior Stokes Flows,
    Phys. Fluids, 13(11), pp. 3134-3154, 2001.
    (with D. Palaniappan)
    Paper  Abstract

  50. On A Boundary Control Approach to Domain Embedding Method,
    SIAM J. Cont. Opt., 40(2), pp. 421-449, 2001.
    (with L. Badea)
    Paper  Abstract

  51. Interior Stokes Flows with Stick-Slip Boundary Conditions,
    Physica A, 297(1-2), pp. 37-63, 2001.
    (with D. Palaniappan)
    DOI: 10.1016/S0378-4371(01)00226-6 journal site
    Paper  Abstract

  52. A Fast Parallel Algorithm for the Poisson Equation on a Disk,
    Jour. Comput. Phys., 169, pp. 151-192, 2001.
    (with L. Borges)
    DOI:10.1006/jcph.2001.6720 journal site
    Paper  Errata Abstract

  53. Weakly Non-local Solitary Wave Solutions of A Singularly Perturbed Boussinesq Equation,
    Math. Comput. Sim., 55(4-6), pp. 395-407, 2001.
    (with R. Dash)
    DOI:10.1016/S0378-4754(00)00288-3 journal site
    Paper 

  54. Compound Droplet in Extensional and Paraboloidal Flows,
    Phys. Fluids, 12(10), pp. 2377-2385, 2000.
    (with D. Palaniappan)
    Paper  Abstract

  55. The Fastest Smooth Taylor Bubble,
    Appl. Num. Math., 34(4), pp. 373-379, 2000.
    DOI:10.1016/S0168-9274(99)00037-9 journal site
     

  56. A Parallel Version of A Fast Algorithm For Singular Integral Transforms,
    Numer. Algor., 23(1), pp. 71-96, 2000.
    (with L. Borges)
    Paper  Abstract

  57. A Computational Study of Rising Plane Taylor Bubbles,
    J. Comp. Phys., 157(1), pp. 120-142, 2000.
    DOI:10.1006/jcph.1999.6366 journal site
     

  58. A Numerical Study of an Ill-posed Boussinesq Equation Arising in Water Waves and Nonlinear Lattices: Filtering and Regularization Techniques,
    Appl. Math. Comp., 101(2), pp. 159-207, 1999.
    (with Wei Hua)
    DOI:10.1016/S0096-3003(98)10070-X journal site
    Paper 

  59. An Efficient and Novel Numerical Method for Quasiconformal Mappings of Doubly Connected Domains,
    Numer. Algor., 18, pp. 159-175, 1998.
    (with D. Mashat)
    Paper  Abstract

  60. Singular Integral Transforms and Fast Numerical Algorithms: I,
    Numer. Algor., 18, pp. 133-157, 1998.
    (with D. Mashat)
    Paper  Abstract

  61. Some Useful Filtering Techniques For Illposed Problems,
    J. Comp. Appl. Math., 100, pp. 161-171, 1998.
    DOI:10.1016/S0377-0427(98)00186-1 journal site
    Paper 

  62. Pointed Taylor Bubble Revisited,
    J. Comp. Phys., 123(1), pp. 226-230, 1996.
    DOI:10.1006/jcph.1996.0018 journal site
     

  63. An Investigation of Some Pattern Selection Issues in the Rising Plane Taylor-Bubble Problem,
    J. Comp. Phys., 121(1), pp. 129-141, 1995.
    DOI:10.1006/jcph.1995.1184 journal site
     

  64. The Singularity at the Tip of the Rising Plane Bubble: The Case of Non-Zero Surface Tension,
    Phys. Fluids, 6(4), pp. 1615-1617, 1994.
    Paper  Abstract

  65. A Fast Algorithm to Solve the Beltrami Equation with Applications to Quasiconformal Mappings,
    J. Comp. Phys., 106(2), pp. 355-365, 1993.
    DOI:10.1016/S0021-9991(83)71113-7 journal site
    Paper Typos in the Paper   Abstract

  66. Iterative Schemes and Algorithms for Adaptive Grid Generation in One Dimension,
    J. Comp. Phys., 100(2), pp. 284-293, 1992.
    DOI:10.1016/0021-9991(92)90235-Q journal site
     

  67. A Fast Algorithm to Solve Non-Homogeneous Cauchy-Riemann Equations in the Complex Plane,
    SIAM J. Sci. Stat. Comput., 13(6), pp. 1418-1432, 1992.
    Paper  Abstract

  68. A New Theory for One-Dimensional Adaptive Grid Generation and its Applications,
    SIAM J. Numer. Anal., 29(6), pp. 1635-1660, 1991.
    Paper  Abstract

  69. Using the Grid Spacing Ratio As a Continuous Variable in One Dimensional Adaptive Grid Generation,
    Appl. Math. Lett., 4(1), pp. 91-94, 1991.
    DOI:10.1016/0893-9659(91)90130-N journal site
    Paper  Abstract

  70. On a Numerical Method for Quasi-conformal Grid Generation,
    J. Comp. Phys., 96(2), pp. 229-236, 1991.
    DOI:10.1016/0021-9991(91)90274-O journal site
    Paper  Abstract

  71. Solvability Condition and its Application to Fast Numerical Solution of Overposed Problems in Compressible Flows,
    J. Comp. Phys., 95(1), pp. 436-449, 1991.
    DOI:10.1016/0021-9991(91)90284-R journal site
    Paper  Abstract

  72. On Applications of a Complex Variable Method in Compressible Flows,
    J. Comp. Phys., 88(2), pp. 337-361, 1990.
    DOI:10.1016/0021-9991(90)90183-2 journal site
    Paper  Abstract

  73. An Exact Inverse Method For Subsonic Flows,
    Quart. Appl. Math., XLVI(3), pp. 505-526, 1988.
    Paper  Abstract

  74. Polymer Floods: A Case Study of Nonlinear Wave Analysis And of Instability Control In Tertiary Oil Recovery,
    SIAM J. Appl. Math., 48, pp. 353-373, 1988.
    (with J. Glimm, B. Lindquist, O. McBryan)
    DOI: 10.1137/0148018
    Paper  Abstract

  75. An Inverse Method for Subcritical Flows,
    J. Comp. Phys., 63(2), pp. 311-328, 1986.
    (with Lawrence Sirovich)
    DOI:10.1016/0021-9991(86)90196-8 journal site
    Paper  Abstract

  76. Exact and Approximate Gas Dynamics Using the Tangent Gas,
    J. Comp. Phys., 62(2), pp. 400-413, 1986.
    (with Lawrence Sirovich)
    DOI:10.1016/0021-9991(86)90136-1 journal site
    Paper  Abstract

  77. Note on Finite Difference Approximations to Burgers' Equation,
    SIAM J. Sci. Stat. Comput., 5(4), pp. 856-864, 1984.
    (with H. Aref)
    Paper  Abstract

    78. Theses

  78. Direct and Inverse Problems in Gas Dynamics,
    Ph.D. Thesis, Brown University, 1985.

  79. A Study of Burgers' Equation,
    M.S. Thesis, Brown University, 1982.

    80. Refereed Book Chapters

  80. Fast Algorithms and Scientific Computation,
    In Computational Mathematics, Modeling And Algorithms , (Edited by J. C. Misra), Chapter 15, pp. 467-517, Narosha Publishing Inc., Delhi, 2003.
    PDF FILE

  81. Creeping Flows In and Around a Compound Multiphase Droplet,
    Series: Advances in Fluid Mechanics, WIT Press, Southampton. Vol 29, pp. 99-109, 2001,
    (with D. Palaniappan)
    PDF FILE

  82. Studies of Capillary Ripples in a Sixth-Order Boussinesq Equation Arising in Water Waves,
    Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000), Proceedings of WAVES2000 - International Conference on Nonlinear Waves, Madrid, Spain, July 2000, 285-291, SIAM, Philadelphia, PA, 2000.
    (with R. Dash)
    PDF FILE

  83. Turbulent Combustion Modeling of Coal: Biomass Blends in a Swirl Burner I: Preliminary Results,
    Energy Week, IV (1997), pp. 415–423 (ETCE, ASME), pp. 415-423, 1997.
    (with S. Dhanapalan & K. Annamalai)
    Paper   Abstract

  84. On The Simulation of Heterogeneous Petroleum Reservoirs,
    Numerical Simulation in Oil Recovery (Minneapolis, Minn., 1986), IMA Vol. Math. Appl., 11, Springer, New York, pp. 89-103, 1988.
    (with J. Glimm, M. Maesumi, B. Lindquist, O. McBryan)
    PDF FILE

    85. Refereed Research Papers In "Lecture Notes" And "Proceedings" (Incomplete List)

  85. Fluid dynamical and modeling issues of chemical flooding for enhanced oil recovery,
    Proceedings of the 32nd ASME International Conference on Ocean, Offshore and Arctic Engineering, Nantes, France, June 09-14, 2013.
    PDF FILE
    Article Number: V006T11A025

  86. Mathematical problems arising in chemical enhance oil recovery,
    Proceedings of 2011 HUIC – Hawaii University International Conferences On Mathematics and Engineering, Ala Moana Hotel, Honolulu Hawaii, USA, June 13 – 15, 2011.

  87. Stability enhanced models of chemical enhanced oil recovery processes,
    Proceedings of 16th US National Congress of Theoretical and Applied Mechanics, June 27 - July 2, 2010, State College, PA, US
    PDF FILE

  88. Thin films and fingering problems in complex flows,
    Proceedings of 16th US National Congress of Theoretical and Applied Mechanics, June 27 - July 2, 2010, State College, PA, US
    PDF FILE

  89. Fast Algorithms for PDEs in simple and complex geometries,
    Program Book of 6th ICIAM-07 Conference,pp. 341, 2007.

  90. Stability Bounds for N-layer Hele-Shaw Flows,
    Proceedings of FICAMC (Fourth International Conference of Applied Mathematics and Computation), Plovdiv, Bulgaria, August, 2007.

  91. Nonlinear Stability of Hele-Shaw Flows with Smooth Viscous Profiles,
    Proceedings of FICAMC (Fourth International Conference of Applied Mathematics and Computation), Plovdiv, Bulgaria, August, 2007.

  92. Solving Partial Differential Equations in Complex Domains,
    Proceedings of SICAM (Second International Conference of Applied Mathematics), Plovdiv, Bulgaria, August 11-18, 2005.

  93. Fast Algorithms for PDEs in Simple and Complex Geometries,
    PAMM (Proc. Appl. Math. Mech.) 7 (2007) 2020065-2020066.
    10.1002/pamm.200700443 journal site
    Paper

  94. Stability Analysis in Three-layer Hele-Shaw Problem,
    Proceedings of SICAM (Second International Conference of Applied Mathematics), Plovdiv, Bulgaria, August 11-18, 2005.

  95. On A Class of Boussinesq Equations for Shallow Water Waves,
    Lecture Notes in Computer Science., 2668, pp. 764-773, 2003.
    Paper 
    (with R. Dash)

  96. A Domain Embedding/Boundary Control Method to Solve Elliptic Problems in Arbitrary Domains,
    Proceedings of the 41st IEEE Conference on Decision and Control , Las Vegas, Nevada, December 10-13, 2002.
    (with L. Badea)
    PDF FILE

  97. Thin Liquid Film Flow On a Rotating Annular Disk: Asymptotic Solution,
    ASME paper, Fifth Intl. Symp. on Num. Methods. for Multiphase Flow, Montreal, Canada, July 14-18, 2002.
    (with B. Dandapat and P. C. Ray)
    PDF FILE

  98. Fluid Flows Involving a Compound Multiphase Droplet,
    Proceedings of Fourth International Conference on Multiphase Flow (in CD-ROM), ed. Stathis Michaelides et al., New Orleans, Louisiana, 12 pages, 2001.
    (with D. Palaniappan)
    PDF FILE

  99. An Overview of Some Fast Algorithms With Applications: Some Open Problems and Challenges,
    Proceedings of International Conference on Recent Advances in Mathematical Sciences, pp. 588-595, Narosha Publishing Co., Delhi, India, 2000.
    PDF FILE

  100. A Fast Algorithm and Its Application to Computing Pulsatile Flow in an Eccentric Catheterized Artery,
    Proceedings of International Conference on Recent Advances in Mathematical Sciences, pp. 379-390, Narosha Publishing Co, Delhi, India, 2000.
    (with R. Dash)
    PDF FILE

  101. Recent Advances in Fast Algorithms for Partial Differential Equations,
    Proc. of IMACS Intl. Conf. on Scientific Computing and Mathematical Modeling, ed. D. Schultz et.al., Milwaukee, Wisconsin, pp. 356-366, 2000.
    PDF FILE

  102. Relevance of the Sixth-Order Boussinesq Equation for Water Waves,
    Proc. of IMACS Intl. Conf. on Scientific Computing and Mathematical Modeling, ed. D. Schultz et.al., Milwaukee, Wisconsin, pp. 347-351, 2000.
    (with R. Dash)
    PDF FILE

  103. Rapid Design of Subcritical Airfoils,
    AIAA-99-3795, Proc. 30th AIAA Fluid Dynamics Conference, Norfolk, VA, 1999.
    PDF FILE

  104. Local and Nonlocal Solitary Waves of Boussinesq Equations,
    Proc. 13th ASCE Eng. Mech. Specialty Conference, Johns Hopkins University, Baltimore MD, 1999.
    PDF FILE

  105. A Parallel Solver for Singular Integrals,
    Proceedings of PDPTA'99 - International Conference on Parallel and Distributed Processing Techniques and Applications, Volume III, Las Vegas, Nevada, pp. 1495-1501, 1999.
    (with L. Borges)
    PDF FILE

  106. Recent Advances on Inverse Airfoil Design,
    9th Conf. of the European Consortium for Mathematics in Industry, Copenhagen, Denmark, pp. 764-765, 1996.
    PDF FILE

  107. A Numerical Study of an Illposed Nonlinear Wave Equation Arising in Water Waves,
    Recent Advances in Engineering Science, Proc. of the 31st Annual Meeting of the Society of Engineering Sciences, Texas A&M University, College Station, p. 202, 1994.

  108. On The Computation of The Rising Plane Bubble Problem,
    Proc of 7th IMACS Int. Symp. on Computer Methods for Part. Diff. Eq., VI, ed. R. Vichnevetsky, Rutgers University, New Jersey, pp. 165-169, 1992.

  109. On Inverse Airfoil Design,
    AIAA-88-2573, pp. 1-9, 1988.

  110. An Efficient Method for Inverse Problems,
    Proc. of Intl. Conf. on Inverse Design Concepts and Optimization in Engineering Sciences-II, Penn State, pp. 469-485, 1987.

  111. Instability and Its Control in Oil Recovery Problems,
    Proc. of 6th IMACS Int. Symp. on Computer Methods for Part. Diff. Eq.-VI, ed. R. Vichnevetsky, Bethlehem PA., pp. 411-418, 1987.

  112. A Fast Approach to Designing Airfoils From Given Pressure Distribution in Compressible Flows,
    AIAA-87-2862, 7 pages, 1987.

  113. Reservoir Simulation by the Method of Front Tracking,
    Proc. of the IFE/SSI seminar on Reservoir Description and Simulation with Emphasis on EOR, Oslo, 18 pages, Sept. 1986.
    (with J. Glimm, J. Grove, B. Lindquist, O. McBryan)

    114. Other Publications (Bulletins, Abstracts Etc.) - Incomplete List

  114. Universality Results for Multi-layer Radial Hele-Shaw Flows,
    Bull. Amer. Phys. Soc., 59(1), 2014.
    Abstract ID: BAPS.2014.MAR.H1.307
    (with Craig Gin)
    Abstract

  115. Instability of displacement of an Oldroyd-B fluid by air in a Hele-Shaw cell,
    Bull. Amer. Phys. Soc., 59(1), 2014.
    Abstract ID: BAPS.2014.MAR.W15.3
    Abstract

  116. Saffman-Taylor Instability for a non-Newtonian Fluid,
    Bull. Amer. Phys. Soc., pp. 421, 58(18), 2013.
    Abstract ID: BAPS.2013.DFD.M30.1
    Abstract

  117. Stability Results on Multi-layer Hele-Shaw Flows,
    Bull. Amer. Phys. Soc., pp. 390, 58(18), 2013.
    Abstract ID: BAPS.2013.DFD.M9.1
    Abstract
    (with Craig Gin)

  118. Mathematical and Computational Aapects of Chemical Enhanced Oil Recovery Process,
    Online book of abstracts, International Workshop on Enhanced Oil Recovery and Porous Media Flows", TAMUQ, Doha, Qatar,. July 31- August 1, 2013.
    Abstract

  119. Application of FFT-recursive-relation based hybrid fast algorithms to computing interfacial flows,
    Online book of abstracts, SIAM Annual Meting, San Diego, CA, July, 2013.
    (with J. D. Kim)

  120. Numerical Evidence of Extreme Diffusive Stabilization in Immiscible Models of Chemical Enhanced Oil Recovery,
    Online book of abstracts, SIAM Annual Meting, San Diego, CA, July, 2013.

  121. Theoretical and Computational Perspectives on Chemical Enhanced Oil Recovery Processes,
    Online book of abstracts, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Padova, Italy, June, 2013.

  122. An Efficient Numerical Method for ASP Flooding in Tertiary Oil Recovery,
    Online book of abstracts, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Padova, Italy, June, 2013.
    (with Sourav Dutta)

  123. A Fast Algorithm for Biharmonic Equation and Applications,
    Online book of abstracts, SIAM Conference on Computational Science and Engineering, Boston, USA., 2013.
    (with Aditi Ghosh)

  124. Fluid dynamical and modeling issues of chemical flooding for enhanced oil recovery,
    book of abstracts, Petroleum Technology Symposium" in OMAE2013 conference, June, Nantes, France, 2013.

  125. Universality Results for Multi-phase Hele-Shaw Flows,
    Bull. Amer. Phys. Soc., 58(1), 2013.
    Abstract ID: BAPS.2013.MAR.M39.15
    Abstract

  126. A Fast Algorithm for Biharmonic Equation and Applications,
    Online book of abstracts, SIAM Conference on Computational Science and Engineering, Boston, USA., 2013.

  127. Relevance of Linear Stability Results to Enhanced Oil Recovery",
    Bull. Amer. Phys. Soc., pp. 222, 57(17), 2012.
    Abstract ID: BAPS.2012.DFD.H29.6
    Abstract
    (with Xueru Ding)

  128. Universality Results for Multi-Layer Hele-Shaw and Porous Media Flows",
    Bull. Amer. Phys. Soc., pp. 112, 57(17), 2012.
    Abstract ID: BAPS.2012.DFD.E29.4
    Abstract

  129. Numerical Studies of EOR by ASP-flooding",
    Online book of abstracts, SIAM Annual Meting, 2012.

  130. An efficient numerical method for solving coupled systems of elliptic interface and hyperbolic partial differential equations with applications to enhanced oil recovery,
    Online book of abstracts, SIAM Annual Meting, 2012.

  131. Universal Stability Properties for Multi-Layer Hele-Shaw Flows and its Application to Instability Control,
    Online book of abstracts, SIAM Annual Meeting, 2012.

  132. Optimal constant time injection policy for enhanced oil recovery and characterization of optimal viscous profiles,
    Bull. Amer. Phys. Soc., pp. 217, 56(18), 2011.
    Abstract ID: BAPS.2011.DFD.H16.10
    Abstract

  133. Generalized Saffman-Taylor formula for multi-layer Hele-Shaw flows,
    Bull. Amer. Phys. Soc., 56(1), 2011.
    Abstract ID: BAPS.2011.MAR.T9.3
    Abstract

  134. Application driven development of some useful fast algorithms for PDEs,
    Book of Abstracts, pp. 26-27, International Conference on Mathematics of Date, India, Dec 31' 2010 -Jan 04, 2011.

  135. Generalized Saffman-Taylor formula for multi-layer Hele-Shaw and porous media flows,
    Book of Abstracts, pp. 24-25, International Conference on Mathematics of Date, India, Dec 31' 2010 -Jan 04, 2011.

  136. Singularity formation in a model of shallow water wave equations,
    Bull. Amer. Phys. Soc., 55(16), 2010.
    Abstract ID: BAPS.2010.DFD.AZ.3
    Abstract

  137. Effect of Variable Viscosity on Stabilization in Hele-Shaw Flows,
    Bull. Amer. Phys. Soc., 55(16), 2010.
    Abstract ID: BAPS.2010.DFD.HY.10
    Abstract

  138. Stability Results on Multi-Layer Hele-Shaw Flows,
    Book of Abstracts, SIAM Annual Meeting (AN10), Pittsburgh, Pennsylvania, (2010)

  139. Modeling Complex Fluid Flows in Porous Media,
    Book of Abstracts, SIAM Annual Meeting (AN10), Pittsburgh, Pennsylvania, (2010)

  140. Issues and directions of ASP-flooding in Enhanced Oil Recovery,
    Book of Abstracts, BIT's 1st Annual WORLD Congress of Well Stimulation and EOR, pp. 064,
    Southwest Petroleum University, China, (April 12-14, 2010).

  141. Surfactant effect on the motion of long bubbles in capillary tubes,
    Bull. Amer. Phys. Soc., 54(19), pp. 166, 2009.
    Abstract ID: BAPS.2009.DFD.GQ.4
    Abstract

  142. An Overview of Some Recent and New Fast Algorithms for Solving PDEs based on Green's Function Approach
    Book of Programme \& Abstracts, SIAM conference on Computational Science and Engineering, (CSE09), pp. 108, 2009.

  143. Hydrodynamic Stability in Hele-Shaw and Porous Media Flows,
    Bull. Amer. Phys. Soc., 53(15), pp. 183, 2008.
    Abstract ID: BAPS.2008.DFD.HF.1
    Abstract

  144. Thickening effect of surfactants in the drag-out coating problem,
    Bull. Amer. Phys. Soc., 52(17), pp. 276, 2007.

  145. Stability Results on Multi-Layer Hele-Shaw Flows,
    Bull. Amer. Phys. Soc., 52(17), pp. 123, 2007.

  146. Role of Multi-Scale in Unstable Multi-Layer Hele-Shaw Flows,
    Book of Abstracts, 44th Annual Technical Meeting of the Society of Engg. Sciences, College Station, Texas. (Oct. 21-24, 2007)

  147. Diffusive Slowdown of Instabilities in Three-Layer Hele-Shaw Flows,
    Book of Abstracts, 44th Annual Technical Meeting of the Society of Engg. Sciences, College Station, Texas. (Oct. 21-24, 2007)

  148. Fast Algorithms for PDEs in simple and complex geometries,
    Program Book of Abstracts, 6th ICIAM-07 Conf. Zurich, Switzerland, pp. 341, (2007)

  149. Fast and Accurate Methods with Domain Embedding,
    Book of Abstracts, SIAM Conf. on Comp. Sci. \& Engg., Costa Mesa, CA, (Feb 19-23, 2007)

  150. On Multi-Phase Flows,
    Book of Abstracts, SIAM Conf. on Comp. Sci. \& Engg., Costa Mesa, CA, (Feb 19-23, 2007)

  151. Studies of Three-Layer Hele-Shaw Flows,
    Bull. Amer. Phys. Soc., 51(9), pp. 168, 2006.

  152. Instability in Three-Layer Hele-Shaw Model Induced by Mild Heterogeneity,
    Book of Abstracts, 52nd SIAM Annual Meeting, Portland, OR, 2004.

  153. Computing in Irregular Domains,
    Book of Abstracts, 52nd SIAM Annual Meeting, Portland, OR, 2004.

  154. Scale-Up and Enhanced Oil Recovery,
    Book of Programme \& Abstracts, SIAM conference on Computational Science and Engineering, (CSE03), pp. 38, 2003.

  155. Applications of Some Fast Algorithms for Elliptic PDEs,
    Book of Programme \& Abstracts, SIAM conference on Computational Science and Engineering, (CSE03), pp. 99, 2003.

  156. An Overview of Some Fast Algorithms for Elliptic PDEs,
    Book of Programme \& Abstracts, pp. 78, SIAM conference on Computational Science and Engineering (CSE03), pp. 78, 2003.

  157. Role of Classical Methods for Application Driven Algorithms,
    Book of Programme \& Abstracts, p. 11, National Symposium on Mathematical Methods and Applications (On the Occasion of Mathematician Srinivas Ramanujan's birthday), Indian Institute of Technology, Chennai, India, 2002.

  158. Simulation of hemodynamic flows in catheterized artery,
    Book of Abstracts, 50th SIAM Annual Meeting, Philadelphia, PA, 2002.

  159. Modeling, Simulation, and Algorithms in Porous Media Flows,
    Book of Abstracts, 50th SIAM Annual Meeting, Philadelphia, PA, 2002.

  160. Singularity Induced Slow Viscous Flows in the Presence of a Cylinder,
    Bull. Amer. Phys. Soc., 45, 2000.
    (with D. Palaniappan)

  161. Rapid Solutions of Elliptic Problems,
    Book of Abstracts, First SIAM Conference on Computational Science and Engineering, Washington D.C., pp. 63, 2000.

  162. Implementations of Some Recently Developed Fast Algorithms,
    Book of Abstracts, First SIAM Conference on Computational Science and Engineering, Washington D.C., pp. 50., 2000.

  163. A New Class of Model Equations for Two-way Propagation of Capillary-Gravity Water Waves,
    Bull. Amer. Phys. Soc., 44(8), pp. 157, 1999.

  164. Nonlinear Evolution, Filtering, Regularization and Control of Short Wave Instabilities,
    Book of Abstracts, Fifth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, pp. 66, 1999.

  165. A Fast Parallel Algorithm for Singular Integral Transforms,
    Book of Abstracts (electronic), SIAM Annual Meeting, Atlanta, Georgia, 1999.

  166. Numerical and Theoretical Studies of Some Model Equations for Bi-Directional Propagation of Nonlinear Dispersive Long Waves,
    Book of Abstracts, SIAM Annual Meeting, Atlanta, Georgia, pp. 135, 1999.

  167. Investigation of Some Model Water Wave Equations and Associated Phenomena,
    Book of Abstracts,
    IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, pp. 66, 1999.

  168. Nonlinear Waves in Fluids,
    Book of Abstracts,
    IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, pp. 60, 1999.

  169. Rapid Design of Subcritical Airfoils,
    Book of Abstracts, SIAM Annual Meeting, Toronto, Canada, 1998.

  170. On the Fastest Smooth Taylor-Bubble Problem,
    Book of Abstracts, SIAM Annual Meeting, Toronto, Canada, 1998.

  171. A Numerical Study of an Illposed Boussinesq Equation Arising in Water Waves,
    Book of Abstracts, SIAM Annual Meeting, Charlotte, North Carolina, 1995.

  172. Fast, Accurate and Parallel Algorithms for Solving Some Nonlinear Partial Differential Equations,
    Book of Abstracts, SIAM Annual Meeting, Charlotte, North Carolina, 1995.

  173. The Rising Plane Bubble Problem,
    Bull. Amer. Phys. Soc., 37(8), pp. 1731, 1992.

  174. Some Novel Techniques for Grid Generations and Quasiconformal Mappings,
    Book of Abstracts, Book of Abstracts, SIAM Annual Meeting, Los Angeles, 1992.

  175. Numerical Experiments on Quasi-conformal Mapping,
    Book of Abstracts, Book of Abstracts, SIAM Annual Meeting, Los Angeles, 1992.

  176. Theory and Computations of the Rising Plane Bubble Problem,
    Book of Abstracts, Book of Abstracts, SIAM Annual Meeting, Los Angeles, 1992.

  177. A Fast Algorithm to Solve Non-Homogeneous Cauchy-Riemann Equations in the Complex Plane,
    Book of Abstracts, SIAM Annual Meeting, Washington D.C., 1991.

  178. Adaptive Computation of Porous Media Flow,
    Book of Abstracts, SIAM Annual Meeting, Chicago, Illinois, 1990.

  179. A New Method for One Dimensional Adaptive Grid Generation,
    Book of Abstracts, SIAM Annual Meeting, Chicago, Illinois, 1990.

  180. Solvability Condition for Overposed Inverse Problem in Compressible Flows,
    Book of Abstracts, Book of Abstracts, SIAM Annual Meeting, Chicago, Illinois, 1990.

  181. Theory of One-dimensional Adaptive Grid Generation,
    Book of Abstracts, IMA Preprint 612, 14 pages, 1990.

  182. On the Computation of the Beltrami Equation in the Complex Plane,
    IMA Preprint 592, 9 pages, 1989.

  183. Fingering Instability in Simulation of Multi-layered Flow in Porous Media and its Applications to Instability Control in Tertiary Oil Recovery,
    Bull. Amer. Phys. Soc., 31(10), pp. 1699, 1986.
    (with J. Glimm)

  184. The Exact Inverse Method for Subcritical Flows,
    Bull. Amer. Phys. Soc., 30(10), pp. 1715, 1985.
    (with L. Sirovich)

  185. Application of Tangent Gas Approximation,
    Bull. Amer. Phys. Soc., 29(9), pp. 1570, 1984.
    (with L. Sirovich)


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