Research Projects

Research Interests

Publications

  1. "A Population of Linear, Second Order, Elliptic Partial Differential Equations on Rectangular Domains, Parts 1 and 2," Mathematics of Computation, 36 (1981), pp. 475-484, (with John R. Rice and Elias N. Houstis).

  2. "The Performance of the Collocation and Galerkin Methods with Hermite Bicubics," SIAM Journal on Numerical Analysis, 21(1984), pp. 695-715, (with Robert E. Lynch, John R. Rice and Elias N. Houstis).

  3. "Scale Factors for the Hermite Bicubic Collocation Equations," Advances in Computer Methods for Partial Differential Equations-V, (R. Vichnevetsky and R. Stepleman, eds.), IMACS, New Brunswick, NJ, 1984, pp. 207-209, (with John R. Rice).

  4. "A New Ordering Scheme for the Hermite Bicubic Collocation Equations," Elliptic Problem Solvers III, G. Birkhoff and A. Schoenstadt, eds., Academic Press, 1984, pp. 467-480, (with John R. Rice).

  5.  "Symmetric versus Nonsymmetric Differencing," SIAM Journal on Scientific and Statistical Computing, 6(1985), pp. 45-48, (with John R. Rice

  6. "Appendix A: The PDE Population," Solving Elliptic Problems Using ELLPACK, John R. Rice and Ronald F. Boisvert, Springer-Verlag, New York, 1985, pp. 417-453 (with Elias N. Houstis and John R. Rice).

  7. "Hermite Collorder," "Interior Collorder," "Band GE," "Set U by Bicubics," and "Display Matrix Pattern, Solving Elliptic Problems Using ELLPACK, John R. Rice and Ronald F. Boisvert, Springer-Verlag, New York, 1985, pp. 172, 173, 178, 214, 218.

  8.  "The Importance of Scaling for the Hermite Bicubic Collocation Equations," SIAM Journal on Scientific and Statistical Computing, 7(1986), pp. 707-719, (with John R. Rice).

  9. "A Tensor Product Generalized ADI Method for Elliptic Problems on Cylindrical Domains with Holes," Journal of Computational and Applied Mathematics, 16(1986), pp. 43-58.

  10.  "The ELLPACK Performance Evaluation System," Purdue University, Computer Sciences Department Report CSD-TR 569, 1986, (with John P. Bonomo and John R. Rice).

  11.  "ELLPACK Project Status Report," Purdue University, Computer Sciences Department Report CSD-TR 579, 1986, (with Elias N. Houstis, Calvin J. Ribbens and John R. Rice).

  12.  "Tensor Product Generalized ADI Methods for Elliptic Problems," SIAM Journal on Numerical Analysis, 24(1987), pp. 59-76.

  13. 13.    "Interactive ELLPACK: An Interactive Problem-Solving Environment for Elliptic Partial Differential Equations," ACM Transactions on Mathematical Software, 13(1987), pp. 113-132, (with Calvin J. Ribbens).

  14. 14.    "Three Dimensional Graphics Software in Interactive ELLPACK," Purdue University, Computer Sciences Department Report CSD-TR 674, 1987, (with John P. Bonomo).

  15. "A Tensor Product Generalized ADI Method for the Method of Planes," Numerical Methods for Partial Differential Equations, 4(1988), pp. 283-300.

  16. "The Performance of Numerical Methods for Elliptic Problems with Mixed Boundary Conditions," Numerical Methods for Partial Differential Equations, 4(1988), pp. 347-361, (with Calvin J. Ribbens and John R. Rice).

  17. 17.    "Computing About Physical Objects," Proceedings of the 12th IMACS World Congress on Scientific Computation, 4(1988), pp. 642-644, (with Chanderjit Bajaj, Christoph M. Hoffmann, Elias N. Houstis, John T. Korb and John R. Rice).

  18. "Interface Structures I: Abstract Structures for Computing About Physical Objects," Purdue University, Computer Sciences Department Report CAPO-88-25, 1988, (with Chanderjit Bajaj, Christoph M. Hoffmann, Elias N. Houstis, John T. Korb and John R. Rice).

  19. "Pipelined Iterative Methods for Shared Memory Machines," Parallel Computing, 11(1989), pp. 187-199, (with John P. Bonomo).

  20. "Elliptic Expert: An Expert System for Elliptic Partial Differential Equations," Mathematics and Computers in Simulation, NJ, 31(1989), pp. 333-342, (with Carl R. Gritter).

  21.  "Chapter 8: Pipelined Successive Overrelaxation," Parallel Supercomputing: Methods, Algorithms and Applications, Graham F. Carey, ed., John Wiley & Sons, New York, 1989, pp. 107-119, (with John P. Bonomo).

  22. Architecture of the X Window System: Concepts, Terminology, and Capabilities, Dyksen Associates, West Lafayette, Indiana, 1989-1996.

  23. "Performance Measurements of the X Window System Communication Protocol," Software-Practice and Experience, 20(1990), pp. 119-136, (with Ralph E. Droms).

  24. "XELLPACK: An X Based Interactive Problem-Solving Environment for Elliptic Partial Differential Equations," Intelligent Mathematical Software Systems, (E. Houstis, J. Rice and R. Vichnevetsky, eds.), North-Holland, Amsterdam, 1990, pp. 331-341, (with John P. Bonomo).

  25. "A Programmer's Overview of X," Connexions-The Interoperability Report, Interop, Inc., 4(1990), pp. 38-41, (with John T. Korb).

  26. "Elliptic Expert: An Expert System for Elliptic Partial Differential Equations," Intelligent Mathematical Software Systems, (E. Houstis, J. Rice and R. Vichnevetsky, eds.), North-Holland, Amsterdam, 1991, pp. 23-32, (with Carl R. Gritter).

  27. X Window System Programming with Motif, Addison-Wesley Publishing Company, Inc., 1991, (with John T. Korb).

  28. "Controlling Event Delivery with Grabs and Keyboard Focus," The X Resource: A Practical Journal of the X Window System, 2(1992), pp. 78-92.

  29.  "XELLPACK: A Distributed Problem Solving Environment for Elliptic Partial Differential Equations," Artificial Intelligence, Expert Systems and Symbolic Computing, (E. Houstis and J. Rice, eds.), North-Holland, Amsterdam, 1992, pp. 130-135, (with Paul E. Buis).

  30.  "Fortran Interface Blocks as an Interface Description Language for Remote Procedure Call," Programming Environments for High-Level Scientific Problem Solving, (P. W. Gaffney and E. N. Houstis, eds.), North-Holland, 1992, pp. 179-189, (with Paul E. Buis and John T. Korb).

  31. "Scientific Computing and the Algorithm Selection Problem," Intelligent Scientific Software Systems, (E. Houstis, J. Rice and R. Vichnevetsky, eds.), North-Holland, Amsterdam, 1992, pp. 19-31, (with Carl R. Gritter).

  32. "Chapter 9.4.1:  Implementing Type-ahead for Information Entry," Xlib Programming Manual, Volume 1, 3rd Edition, Adrian Nye, O'Reilly & Associates, Inc., 1993, pp. 316-320.

  33.  "Architecture of the X Window System," XWorld Conference Proceedings, SIGS Books, Inc., New York, 1993, pp. 145-149.

  34. "Architecture of the X Window System: Concepts, Terminology, and Capabilities," XWorld Conference Proceedings, SIGS Books, Inc., New York, 1994, pp. 67-74.

  35. "Overview of the X Window System," Software DevCon '94, SIGS Books, Inc., New York, 1994, pp. 49-56.

  36.  "Enterprise Windowing: The Big Three," Software DevCon '94, SIGS Books, Inc., New York, 1994, pp. 57-64, (with John T. Korb).

  37. "Efficient Vector and Parallel Manipulation of Tensor Products," ACM Transactions on Mathematical Software, 22(1996), pp. 18-23, (with Paul E. Buis).

  38. TENPACK:  "A LAPACK Library for the Computer Manipulation of Tensor Products," ACM Transactions on Mathematical Software, 22(1996), pp. 24-29, (with Paul E. Buis).

  39. "WWW//PDEPACK - A Web-Based Problem Solving Environment for Partial Differential Equations," Purdue University, Computer Sciences Department Report CSD-TR 95-063, 1995, (with Elias N. Houstis and John R. Rice).

  40.  "The Hermite Cubic Collocation Approximations to the Eigenvalues and Eigenfunctions of the Laplacian Operator," Purdue University, Computer Sciences Department Report CSD-TR 98-001, 1998.

  41.  "A New Decoupling Technique for the Hermite Bicubic Collocation Equations," Mathematics and Computers in Simulation, NJ, 54(2000), pp. 359-372, (with Robert E. Lynch).

  42.  "A New Decoupling Technique for the Hermite Bicubic Collocation Equations," Computational Science, Mathematics and Software, (R.F. Boisvert and E. N. Houstis, eds.) Purdue University Press, 2002, pp. 279-296, (with Robert E. Lynch).

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