Prabir Daripa
Publications



REFEREED JOURNAL RESEARCH PAPERS


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

  2. 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

  3. 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

  4. 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)
    Paper  Abstract

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

  6. 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

  7. 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

  8. 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

  9. 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

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

  11. 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

  12. 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
     

  13. 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

  14. 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

  15. 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
     

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

  17. Turbulent Combustion Modeling of Coal: Biomass Blends in a Swirl Burner I: Preliminary Results,
    ASME paper, Emerging Energy Technology Book V, pp. 415-423, 1997.
    (with S. Dhanapalan & K. Annamalai)
    Papers (figures missing)   Abstract

  18. 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 

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

  20. An Efficient and Novel Numerical Method for Quasiconformal Mappings of Doubly Connected Domains,
    Numer. Algor., 18, pp. 159-178, 1998.
    (with D. Mashat)
    Paper  Abstract

  21. 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 

  22. 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
     

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

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

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

  26. 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 

  27. 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  Abstract

  28. 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

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

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

  31. 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

  32. 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

  33. A Numerical Study of Pulsatile Blood Flow in An Eccentric Catheterized Artery Using a Fast Algorithm,
    J. Engg. Math., 42(1), 1-16, 2002.
    (with R. Dash)
    Paper  Abstract

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

  35. 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

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

  37. 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 journal site
    Paper  Abstract

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

  39. 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 journal site
    Paper  Abstract

  40. 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

  41. 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 journal site
    Paper  Abstract

  42. 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 journal site
    Paper  Abstract

  43. 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: doi:10.1007/s00033-005-5041-z journal site
    Paper

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

  45. 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 journal site
    Paper

  46. A simple derivation of an upper bound in the presence of viscosity gradient in three-layer Hele-Shaw flows,
    Journal of Statistical Mechanics, 11 pages, (2006), P01014
    doi:10.1088/1742-5468/2006/01/P01014 journal site
    Paper
    (with G. Pasa)

  47. Higher-order Boussinesq equations for two-way propagation of shallow water waves,
    Euro. J. Mech.-B/Fluids., Vol. 25, Issue 6, pp. 1008-1021, (2006)
    DOI: 10.1016/j.euromechflu.2006.02.003 journal site

  48. Stabilizing effect of Diffusion in Enhanced Oil Recovery and Three-Layer Hele-Shaw Flows with Viscosity Gradient,
    Tran. Porous Media, Vol. 70, Issue 1, pp. 11-23, (2007)
    The original publication is available at www.springerlink.com
    DOI: 10.1007/s11242-007-9122-7 journal site
    Paper
    (with G. Pasa)

  49. Fast Algorithms for PDEs in Simple and Complex Geometries,
    PAMM (Proc. Appl. Math. Mech.) Vol. 7, pp. 2020065–2020066, (2007) journal site
    Paper

  50. On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media,
    Tran. Porous Media, Vol. 75, Issue 1, pp. 1-16, (2008)
    The original publication is available at www.springerlink.com
    DOI: 10.1007/s11242-008-9211-2 journal site
    Paper
    (with G. Pasa)

  51. ``Nonlinear Saffman-Taylor Instability For Hele-Shaw Flows",
    Journal of Differential Equations, Vol. 245, Issue 7, pp. 1819-1837, (2008)
    The original publication is available at www.springerlink.com
    doi:10.1016/j.jde.2008.07.012 journal site
    Paper
    (with Hyung Ju Hwang)

  52. Studies of Stability in Three-Layer Hele-Shaw Flows,
    Phys. Fluids, Vol. 20, Issue 11, Article No. 112101, 11 pages (2008)
    DOI: 10.1063/1.3021476 journal site
    Preprint

  53. Hydrodynamic Stability of Multi-Layer Hele-Shaw Flows
    J. STat. Mech. Article No. P12005, 32 pages (2008)
    DOI: 10.1088/1742-5468/2008/12/P12005 journal site

  54. Thickening effect of interfacial surfactant in the drag-out coating problem,
    J. Stat. Mech., Article Number L07002, 10 pages (2009)
    DOI:10.1088/1742-5468/2009/07/L07002
    Preprint  journal site journal site
    (with Gelu Pasa)

  55. On Diffusive Slowdown in Three-Layer Hele-Shaw Flows,
    Quart. Appl. Math., 16 Pages, To Appear, 2009.
    Preprint 

    56. Refreed Book Chapters

  56. 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

  57. 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), 285-291, SIAM, Philadelphia, PA, 2000.
    (with R. Dash)
    PDF FILE

  58. 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

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

    60. Refereed Reseach Papers In "Lecture Notes" and Proceedings"

  60. 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)

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

  62. 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.

  63. 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.

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

  65. 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.

  66. 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.

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

  68. 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

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

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

  71. 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

  72. 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

  73. 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

  74. 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

  75. 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

  76. 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

  77. 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

  78. A Class of Boussinesq Equations for Shallow Water Waves,
    Lect Notes Comput Sc., 2668, pp. 764-773, 2003.
    (with R. Dash)
    Paper 


OTHER PUBLICATIONS (THESIS, BULLETINS, ABSTRACTS ETC.)


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

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

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

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

  5. Fingering Instability in Simulation of Multilayered 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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  20. 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.

  21. 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.

  22. 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.

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

  24. 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.

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

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

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


next up previous
Next: About this document ...
Prabir Daripa 2004-01-18

This page has been accessed [COUNTER] times since Feb 18 14:02:11 CST 2008.