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PUBLICATIONS of Prabir Daripa



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)

  2. ``Exact and Approximate Gas Dynamics Using the Tangent Gas,'' J. Comp. Phys., 62(2), pp. 400-413, 1986. (with Lawrence Sirovich)

  3. ``An Inverse Method for Subcritical Flows,'' J. Comp. Phys., 63(2), pp. 311-328, 1986. (with Lawrence Sirovich)

  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)

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

  6. ``On Applications of a Complex Variable Method in Compressible Flows,'' J. Comp. Phys., 88(2), pp. 337-361, 1990.

  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.

  8. ``On a Numerical Method for Quasi-conformal Grid Generation,'' J. Comp. Phys., 96(2), pp. 229-236, 1991.

  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.

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

  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.

  12. ``Iterative Schemes and Algorithms for Adaptive Grid Generation in One Dimension,'' J. Comp. Phys., 100(2), pp. 284-293, 1992.

  13. ``A Fast Algorithm to Solve the Beltrami Equation with Applications to Quasiconformal Mappings,'' J. Comp. Phys., 106(2), pp. 355-365, 1993.

  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.

  15. ``An Investigation of Some Pattern Selection Issues in the Rising Plane Taylor-Bubble Problem,'' J. Comp. Phys., 121(1), pp. 129-141, 1995.

  16. ``Pointed Taylor Bubble Revisited,'' J. Comp. Phys., 123(1), pp. 226-230, 1996. Reprint (gzipped postscript file)

  17. ``Some Useful Filtering Techniques For Illposed Problems,'' J. Comp. Appl. Math., 100, pp. 161-171, 1998. Reprint (gzipped postscript file)

  18. ``Singular Integral Transforms and Fast Numerical Algorithms: I,'' Numer. Algor., 18, pp. 133-157, 1998. (with D. Mashat) Reprint (gzipped postscript file)

  19. ``An Efficient and Novel Numerical Method for Quasiconformal Mappings of Doubly Connected Domains,'' Numer. Algor., 18, pp. 159-178, 1998. (with D. Mashat) Reprint (gzipped postscript file)

  20. ``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) Reprint (gzipped postscript file)

  21. ``A Computational Study of the Rising Plane Taylor Bubble,'' J. Comp. Phys., 157(1), pp. 120-142, 2000. Reprint (gzipped postscript file)

  22. ``A Parallel Version of A Fast Algorithm For Singular Integral Transforms,'' Numer. Algor., 23(1), pp. 71-96, 2000. (with L. Borges) Reprint (gzipped postscript file)

  23. ``The Fastest Smooth Taylor Bubble,'' Appl. Num. Math., 34(4), pp. 373-379, 2000. Reprint (gzipped postscript file)

  24. ``Compound Droplet in Extensional and Paraboloidal Flows,'' Phys. Fluids, 12(10), pp. 2377-2385, 2000. (with D. Palaniappan) Reprint (gzipped postscript file)

  25. ``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) Reprint (gzipped postscript file)

  26. ``A Fast Parallel Algorithm for the Poisson Equation on a Disk,'' Jour. Comput. Phys., 169, pp. 151-192, 2001. (with L. Borges). Reprint (gzipped postscript file)

  27. ``Interior Stokes Flows with Stick-Slip Boundary Conditions,'' Physica A, 297(1-2), pp. 37-63, 2001. (with D. Palaniappan) Reprint (gzipped postscript file)

  28. ``On a Boundary Control Approach to Domain Embedding Method,'' SIAM J. Cont. Opt., 40(2), pp. 421-449, 2001. (with L. Badea) Reprint (gzipped postscript file)

  29. ``Singularity Induced Exterior and Interior Stokes Flows," Phys. Fluids, 13(11), pp. 3134-3154, 2001. (with D. Palaniappan) Reprint (gzipped postscript file)

  30. ``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) Reprint (gzipped postscript file)

  31. ``Analytical and Numerical Studies of a Singularly Perturbed Boussinesq Equation,'' Appl. Math. Comput., 126(1), pp. 1-30, 2002. (with R. Dash)

  32. ``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) reprint (pdf file)

  33. ``Exterior Stokes Flows with Stick-Slip Boundary Conditions,'' ZAMP, 53, 281-307, 2002. (with D. Palaniappan) reprint (gzipped file)

  34. ``An Inverse Problem for the Helmholtz Equation Involving Two Semi-infinite Fluids", Inverse Problems in Engineering, Accepted, 16 pages. (with A. Chakrabarti and S. Roy) Preprint (gzipped postscript file)

  35. ``A Fast Algorithm for Two-Dimensional Elliptical Problems,'' Numerical Algorithms., Accepted, 35 pages. (with L. Badea). Preprint (gzipped postscript file)

    Submitted:

  36. ``On a Spectral Method of Embedding Domains Using an Optimal Distributed Control,'' Numerical Algorithms, Submitted, 12 pages. (with L. Badea)

  37. ``Axisymmetric Creeping Flows In and Around a Vapor-Liquid Compound Droplet,'' Phys. Fluids, submitted, 35 Pages. (with D. Palaniappan)

  38. ``A Class of Model Equations for Bi-directional Propagation of Capillary-Gravity Waves,'' International Jouranl of Engineering Science, Submitted 16 pages. (With R. Dash)

  39. ``Thin Liquid Film Flow On a Rotating Annular Disk: Asymptotic Solution,'' Physics of Fluids, Submitted, 28 pages. (With B. Dandapat and P. C. Ray)

  40. ``On a Domain Embedding Method Using Optimal Distributed Control and A Fast Algorithm,'' Submitted, 17 Pages. (with L. Badea)


    REFEREED RESEARCH PAPERS IN PROCEEDINGS AND BOOKS


  41. ``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)

  42. ``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 M. Maesumi, B. Lindquist, O. McBryan)

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

  44. ``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.

  45. ``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.

  46. ``On Inverse Airfoil Design,'' AIAA-88-2573, pp. 1-9, 1988.

  47. ``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.

  48. ``A Numerical Study of an Illposed Nonlinear Wave Equation Arising in Water Waves,'' in 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.

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

  50. ``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)

  51. ``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)

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

  53. ``Rapid Design of Subcritical Airfoils,'' AIAA-99-3795, Proc. 30th AIAA Fluid Dynamics Conference, Norfolk, VA, 1999.

  54. ``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).

  55. ``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)

  56. ``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.

  57. ``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.

  58. ``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.

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

  60. ``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).

    Submitted:

  61. ``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, TO Appear. (With B. Dandapat and P. C. Ray)

  62. ``Fast Algorithms for Elliptic Equations: Some Recent Results and Scope of Their Applications,'' 24th World Conference on Boundary Element Methods, Sintra, Portugal, 17 - 19 June 2002, To Appear.


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,'' IMA Preprint 612, 14 pages, 1990.

  8. ``Solvability Condition for Overposed Inverse Problem in Compressible Flows,'' 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, SIAM Annual Meeting, Los Angeles, 1992.

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

  14. ``Some Novel Techniques for Grid Generations and Quasiconformal Mappings,'' 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 of 1999 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 of 1999 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.


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Prabir Daripa 2002-01-18