@PHDTHESIS{Sarra2002, author = "S. A. Sarra", title = "Chebyshev Pseudospectral Methods for Conservation Laws with Source Terms and Applications to Multiphase Flow", school = "West Virginia University", year = 2002, } @ARTICLE{Sarra2003A, author = "S. A. Sarra", title = "Spectral Methods with Postprocessing for Numerical Hyperbolic Heat Transfer", journal = "Numerical Heat Transfer", volume = 43, number = 7, pages = "717-730", year = 2003, } @ARTICLE{Sarra2003B, author = "S. A. Sarra", title = "Chebyshev Super Spectral Viscosity method for a Fluidized Bed Model", volume = 186, number = 2, journal = "Journal of Computation Physics", year = 2003, pages = "630-651", } @ARTICLE{Sarra2003C, author = "S. A. Sarra", title = "Chebyshev Super Spectral Viscosity method for a Two-Dimensional Fluidized Bed Model", journal = "International Journal of Numerical Methods in Fluids", volume = 42, year = 2003, pages = "249-263", } @ARTICLE{Sarra2003D, author = "S. A. Sarra", title = "The Spectral Signal Processing Suite", journal = "{ACM} Transactions on Mathematical Software", year = 2003, volume = 29, number = 2, note = "www.scottsarra.org/signal/signal.html", } @ARTICLE{Sarra2003E, author = "S. A. Sarra", title = "The Method of Characteristics with applications to Conservation Laws", journal = "Journal of Online Mathematics and Applications", year = 2003, volume = 3, note = "www.scottsarra.org/shock/shock.html", } @ARTICLE{Sarra2005A, author = "S. A. Sarra", title = "Adaptive Radial Basis Function Methods for time dependent Partial Differential Equations", journal = "Applied Numerical Mathematics", volume = 54, number = 1, year = 2005, pages = "79-94", } @ARTICLE{Sarra2005B, author = "S. A. Sarra", title = "Integrated Multiquadric Radial Basis Function Approximation Methods", journal = "Computers and Mathematics with Applications", volume = 51, number = 8, year = 2006, pages = "1283-1296", } @ARTICLE{Sarra2005C, author = "S. A. Sarra", title = "Digital Total Variation filtering as postprocessing for Chebyshev Pseudospectral Methods for Conservation Laws", journal = {Numerical Algorithms}, volume = 41, year = 2006, pages = "17-33", } @ARTICLE{Sarra2005D, author = "S. A. Sarra", title = "Digital Total Variation filtering as postprocessing for Radial Basis Function Approximation Methods", journal = {Computers and Mathematics with Applications}, volume = 52, year = 2006, pages = "1119-1130", } @ARTICLE{Sarra2005E, author = "S. A. Sarra", title = "Chebyshev Interpolation: an interactive tour", journal = "Journal of Online Mathematics and Applications", volume = 6, year = 2006, note = "http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1297", } @ARTICLE{Sarra2008A, author = "S. A. Sarra", title = "A Numerical Study of the Accuracy and Stability of Symmetric and Asymmetric RBF Collocation methods for Hyperbolic PDEs", volume = 24, number = 2, journal = "Numerical Methods for Partial Differential Equations", year = 2008, pages = "670 - 686", } @ARTICLE{Sarra2008B, author = "S. A. Sarra", title = "A Pseudospectral Method with Edge Detection Free Postprocessing for 2d Hyperbolic Heat Transfer", journal = "Numerical Heat Transfer, Part B: Fundamentals", volume = 54, number = 1, pages = "52-61", year = 2008, } @ARTICLE{Sarra2009A, author = "S. A. Sarra", title = "Edge Detection Free Postprocessing for Pseudospectral Approximations", journal = "Journal of Scientific Computing", volume = 51, number = 1, pages = "49-61", year = 2009, } @ARTICLE{Sarra2009B, author = "S. A. Sarra and D. Sturgill", title = "A Random Variable Shape Parameter Strategy for Radial Basis Function Approximation Methods", journal = "Engineering Analysis with Boundary Elements", volume = 33, pages = "1239-1245", year = 2009, } @ARTICLE{SarraKansa2010, author = "S. A. Sarra and E. J. Kansa", title = "Multiquadric Radial Basis Function Approximation Methods for the Numerical Solution of Partial Differential Equations", volume = 2, journal = "Advances in Computational Mechanics", year = 2009, } @ARTICLE{Sarra2010, author = "S. A. Sarra", title = "Algorithhm 899: The Matlab Postprocessing Toolkit", journal = "{ACM} Transactions on Mathematical Software", volume = 37, number = 1, year = 2010, pages = "1--15", URL = "http://doi.acm.org/10.1145/1644001.1644011", note = "www.scottsarra.org/mpt/mpt.html", } @ARTICLE{Sarra2011A, author = "S. A. Sarra", title = "Radial Basis Function approximation methods with extended precision floating point arithmetic", journal = "Engineering Analysis with Boundary Elements", volume = 35, pages = "68-76", year = 2011, } @ARTICLE{Sarra2011B, author = "S. A. Sarra and C. Meador", title = "Stability properties of a predictor-corrector implementation of an implicit linear multistep method", journal = "Involve", volume = 4, pages = "43-51", year = 2011, } @TechReport{Sarra2011D, author = {S. A. Sarra and A. Heryudono and C. Wang}, title = {A numerical study of a technique for shifting eigenvalues of radial basis function differentiation matrices}, institution = {Marshall University}, year = {2011}, OPTnumber = {MTH-TR-2011-1.}, } @ARTICLE{Sarra2011C, author = "S. A. Sarra and C. Meador", title = "On the numerical solution of chaotic dynamical systems using extended precision floating point arithmetic and very high order numerical methods ", journal = "Nonlinear Analysis: Modelling and Control", volume = 16, pages = "340-352", year = 2011, } @ARTICLE{Sarra2012A, author = "S. A. Sarra", title = "A Linear System-Free Gaussian RBF Method for the Gross-Pitaevskii equation on unbounded domains", journal = "Numerical Methods for Partial Differential Equations", volume = 28, pages = "389-401", year = 2012, } @ARTICLE{Sarra2012B, author = "S. A. Sarra", title = "A Local Radial Basis Function method for Advection-Diffusion-Reaction equations on complexly shaped domains", journal = "Applied Mathematics and Computation", volume = 218, pages = "9853-9865", year = 2012, } @ARTICLE{Sarra2014, author = "S. A. Sarra", title = "Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation", journal = "Engineering Analysis with Boundary Elements", volume = 44, pages = "76--86", year = 2014, } % ---------------------------------------------------------------------------- @ARTICLE{Sarra2015a, author = "S. A. Sarra and A. Aluthge and R. Estep and A. Reinhardt", title = "Filtered Leapfrog Time Integration with Enhanced Stability Properties", journal = "Involve (under review)", year = 2015, } @ARTICLE{Sarra2015b, author = "S. A. Sarra and S. Cogar", title = "A Comparison of Evaluation Algorithms for the RBF Method with Small Shape Parameters", journal = "Engineering Analysis with Boundary Elements", year = 2015, } @ARTICLE{Sarra2015c, author = "S. A. Sarra", title = "A Matlab Radial Basis Function Toolkit with symmetry exploitation, regularization, and extended precision", journal = "{ACM} Transactions on Mathematical Software", year = 2015, } @ARTICLE{Sarra2015d, author = "S. A. Sarra", title = "Radial Basis Function methods - the case of symmetric domains", journal = "Journal of Scientific Computing", year = 2015, }