Availability of papers for term projects

  • No extra credit for finding errors in this page. (Sorry.)
  • When you find papers that interest you, send me email referring to them by number (e.g., P14).
  • There are 27 students and 36 papers.
  • If the paper is available on-line, I have included the link.
  • Abbreviations: SISC = SIAM J on Scientific Computing, SISSC = SIAM J on Scientific and Statistical Computing, SIREV = SIAM Review, SIMAX = SIAM J on Matrix Analysis and Applications, ACM TOMS = ACM Transactions on Mathematical Software.
  • From off campus or on a pc network, the links to the papers' abstracts seem to work, but to get full-text, you will need to access through the University's library e-journals link, using your student I.D. From on campus, you can get the abstract and the full-text through the links below.
  • Hope you find a paper you like!

    • Some methods for solving elliptic PDEs

  • P1. Available: Efficient Algorithms for Solving a Fourth-Order Equation with the Spectral-Galerkin Method Petter E. Bjørstad, Bjørn Peter Tjøstheim; SISC 18 1997 p621
  • P2. A multigrid tutorial , William L. Briggs, SIAM Press 1987 (especially, Chapter 3).
  • P3. Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers? Ivo M. Babuska, Stefan A. Sauter; SIREV 42 2000 451
  • P4. Available: Collocation software for second-order elliptic partial differential equations E. N. Houstis, W. F. Mitchell, J. R. Rice; ACM TOMS 11 no 4 1985 p379. (The software is out-of-date, but the method is still useful.)
  • P5. A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law J. E. Castillo, R. D. Grone; SIMAX 25 2003 p128
  • P6. Available: A Class of Codimension-Two Free Boundary Problems S. D. Howison, J. D. Morgan, J. R. Ockendon; SIREV 39 1997 221
  • P7. Survey of meshless and generalized finite element methods: A unified approach, I Babuska, U. Banerjee, and J. E. Osborn; Acta Numerica 12 (2003) pp. 1-125. (Use a piece of this paper.)
  • P8. Available: Some Nonoverlapping Domain Decomposition Methods Jinchao Xu, Jun Zou; SIREV 40 1998 p857

    • Other PDE problems

  • P9. Available: Computational high frequency wave propagation, Bjorn Engquist and Olof Runborg; Acta Numerica 12 (2003) pp. 181-266.
  • P10. Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity Howard C. Elman; SISSC 20 1999 p.1299
  • P11. A Hyperbolic PDE with Parabolic Behavior Matt Davison, Andrea Doeschl; SIREV 46 no 1 p115
  • P12. Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later Cleve Moler, Charles Van Loan; SIREV 45 no 1 2003 p3. (Apply this to a differential equation.)
  • P13. Available: Detecting an Inclusion in an Elastic Body by Boundary Measurements Giovanni Alessandrini, Antonino Morassi, Edi Rosset; SIREV 46 no 3 2004 p477
  • P14. Strong Stability-Preserving High-Order Time Discretization Methods Sigal Gottlieb, Chi-Wang Shu, Eitan Tadmor; SIREV 43 no 1 2001 p89
  • P15. Where Best to Hold a Drum Fast Steven J. Cox, Paul X. Uhlig; SIREV 45 no 1 p.75
  • P16. Adjoint Recovery of Superconvergent Functionals from PDE Approximations Niles A. Pierce, Michael B. Giles; SIREV 42 no 2 p 247
  • P17. An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations Desmond J. Higham; SIREV 43 no 3 p525.

    • Ingredients in finite element codes

  • P18. The p and h-p Versions of the Finite Element Method, Basic Principles and Properties Ivo Babuska, Manil Suri; SIREV 36 1994 p578
  • P19. Delaunay Triangular Meshes in Convex Polygons Barry Joe; SISC 7 no2
  • P20. A Simple Mesh Generator in MATLAB Per-Olof Persson, Gilbert Strang; SIREV 46 no 2 2004 p.329.
  • P21. Available: Constructing cubature formulae: the science behind the art, Ronald Cools; Acta Numerica 6 (1997) pp. 1-55. (how to compute the integrals over the triangles)
  • P22. Slow-Growing subdivisions in any dimension: towards removing the curse of dimensionality Valerio Pascucci
  • P23. Available: A New Paradigm for Parallel Adaptive Meshing Algorithms Randolph E. Bank, Michael Holst; SIREV 45 no 2 2003 p291

    • Direct methods for solving sparse systems of linear equations

  • P24. Partitioning sparse matrices with eigenvectors of graphs Alex Pothen, Horst D. Simon, and Kan-Pu Liou; SIMAX 11 no 3 1990 p430
  • P25. The Multifrontal Method for Sparse Matrix Solution: Theory and Practice Joseph Liu; SIREV, Volume 34 Issue 1
  • P26. Improving the run time and quality of nested dissection ordering Bruce Hendrickson and Edward Rothbberg; SISC 20 no 2 468
  • P27. Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software Erik Elmroth, Fred Gustavson, Isak Jonsson, Bo Kågström; SIREV 46 no 1 2004 p3.

    • Iterative methods for solving sparse linear systems

  • P28. Superlinear Preconditioners for Finite Differences Linear Systems Stefano Serra Capizzano, Cristina Tablino Possio; SIMAX 25 2003 p152
  • P29. Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations Ronald B. Morgan; SIMAX 21 2000 p1112
  • P30. Toward an Effective Sparse Approximate Inverse Preconditioner Wei-Pai Tang; SIMAX 20 1999 p970
  • P31. Available: Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems H. van der Vorst; SISSC 13 no 2 p631 1992

    • Methods for solving sparse eigenvalue problems

  • P32. A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems Gerard L. G. Sleijpen and Henk A. Van der Vorst; SIREV 42 no2 p267 2000
  • P33. A Krylov--Schur Algorithm for Large Eigenproblems and Addendum to "A Krylov--Schur Algorithm for Large Eigenproblems" G. W. Stewart; SIMAX 24 2002 p599

    • Fourier transform and multipole ideas

  • P34. Fast Approximate Fourier Transforms for Irregularly Spaced Data Antony F. Ware; SIREV 40 1998 p838
  • P35. Time-Frequency Analysis of Musical Instruments Jeremy F. Alm, James S. Walker; SIREV 44 no 3 p457.
  • P36. A Matrix Version of the Fast Multipole Method Xiaobai Sun, Nikos P. Pitsianis; SIREV 43 no 2 p289