Availability of papers for term projects
Hyperbolic/Parabolic PDEs
H1. Available:
Extrapolated Implicit-Explicit Time Stepping
Emil M. Constantinescu and Adrian Sandu,
SIAM J. Sci. Comput. Volume 31, Issue 6, pp. 4452-4477 (2010)
H2. Available, but focus on
a portion of the manuscript:
Numerical Methods for Electronic Structure Calculations of Materials
Yousef Saad, James R. Chelikowsky, and Suzanne M. Shontz,
SIAM Rev. Volume 52, Issue 1, pp. 3-54 (2010)
H3.
Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque,
SIAM Rev. Volume 50, Issue 4, pp. 723-752 (2008)
H4.
A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes
Donna A. Calhoun and Christiane Helzel,
SIAM J. Sci. Comput. Volume 31, Issue 6, pp. 4066-4099 (2009)
H5.
High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
Chi-Wang Shu,
SIAM Rev. Volume 51, Issue 1, pp. 82-126 (2009)
H6. Available:
A General Perfectly Matched Layer Model for Hyperbolic-Parabolic Systems
Daniel Appelö and Thomas Hagstrom,
SIAM J. Sci. Comput. Volume 31, Issue 5, pp. 3301-3323 (2009)
H7. Available:
Preconditioned Hermitian and Skew-Hermitian Splitting Method for Finite Element Approximations of Convection-Diffusion Equations
Alessandro Russo and Cristina Tablino Possio,
SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 3, pp. 997-1018 (2009)
Elliptic PDEs
E1. Available for students who know
something about stochastic differential equations:
Iterative Solvers for the Stochastic Finite Element Method
Eveline Rosseel and Stefan Vandewalle,
SIAM J. Sci. Comput. Volume 32, Issue 1, pp. 372-397 (2010)
E2.
The Iterative Solver RISOLV with Application to the Exterior Helmholtz Problem
SIAM J. Sci. Comput. Volume 32, Issue 1, pp. 463-475 (2010)
E3. Available:
Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeneous Media
Matthias Bollhöfer, Marcus J. Grote, and Olaf Schenk,
SIAM J. Sci. Comput. Volume 31, Issue 5, pp. 3781-3805 (2009)
E4. Available for students who know
a little about optimization:
Multigrid Methods for PDE Optimization
Alfio Borzì and Volker Schulz,
SIAM Rev. Volume 51, Issue 2, pp. 361-395 (2009)
Sparse Matrices
S1.
Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning
Anshul Gupta and Thomas George,
SIAM J. Sci. Comput. Volume 32, Issue 1, pp. 84-110 (2010)
S2.
Superfast Multifrontal Method for Large Structured Linear Systems of Equations
Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, and Xiaoye S. Li,
SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 3, pp. 1382-1411 (2009)
S3.
Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration
Fei Xue and Howard C. Elman,
SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 3, pp. 877-899 (2009)
S4. Focus on a portion of
the manuscript:
From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
Alfred M. Bruckstein, David L. Donoho, and Michael Elad,
SIAM Rev. Volume 51, Issue 1, pp. 34-81 (2009)
S5.
Algebraic Multilevel Krylov Methods
Yogi A. Erlangga and Reinhard Nabben,
SIAM J. Sci. Comput. Volume 31, Issue 5, pp. 3417-3437 (2009)
S6.
Revisiting Hypergraph Models for Sparse Matrix Partitioning
Bora Uçar and Cevdet Aykanat,
SIAM Rev. Volume 49, Issue 4, pp. 595-603 (2007)
S7. Available for students who know a little
about optimization:
From Linear to Nonlinear Large Scale Systems
Sandrine Bargiacchi-Soula, Jérôme Fehrenbach, and Mohamed Masmoudi,
SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 4, pp. 1552-1569 (2010)
ODEs
O1.
On Spiking Models for Synaptic Activity and Impulsive Differential Equations
Anne J. Catllá, David G. Schaeffer, Thomas P. Witelski, Eric E. Monson, and Anna L. Lin,
SIAM Rev. Volume 50, Issue 3, pp. 553-569 (2008)
O2. Available:
Error Estimation for Reduced-Order Models of Dynamical Systems
Chris Homescu, Linda R. Petzold, and Radu Serban,
SIAM Rev. Volume 49, Issue 2, pp. 277-299 (2007)
O3. Available:
Singularly Perturbed Linear Two-Point Boundary Value Problems
Robert E. O'Malley, Jr.,
SIAM Rev. Volume 50, Issue 3, pp. 459-482 (2008)
Transforms and wavelets
T1.
Chirplet Approximation of Band-Limited, Real Signals Made Easy
J. M. Greenberg and Laurent Gosse,
SIAM J. Sci. Comput. Volume 31, Issue 5, pp. 3922-3945 (2009)
T2.
The Bad Truth about Laplace's Transform
Charles L. Epstein and John Schotland,
SIAM Rev. Volume 50, Issue 3, pp. 504-520 (2008)
T3.
On the Fourier Extension of Nonperiodic Functions
Daan Huybrechs,
SIAM J. Numer. Anal. Volume 47, Issue 6, pp. 4326-4355 (2010)
T4.
Nonequispaced Hyperbolic Cross Fast Fourier Transform
Michael Döhler, Stefan Kunis, and Daniel Potts,
SIAM J. Numer. Anal. Volume 47, Issue 6, pp. 4415-4428 (2010)
T5.
An Adaptive Wavelet Method for the Chemical Master Equation
Tobias Jahnke,
SIAM J. Sci. Comput. Volume 31, Issue 6, pp. 4373-4394 (2010)