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Archibald RK, Fann G, Shelton W.  2011.  Adaptive Discontinuous Galerkin Methods with Multiwavelets Bases. Applied Numerical Mathematics. 61(7):879-890.
Archibald RK, Evans K.J, Drake JB, White JB.  2011.  Multiwavelet Discontinuous Galerkin Accelerated ELP Method for the Shallow Water Equations on the Cubed Sphere. Monthly Weather Review. :457-473.
Archibald RK, Gelb A, Saxena R, Xiu D.  2009.  Discontinuity detection in multivariate space for stochastic simulations. Journal of Computational Physics. 228(7):2676-2689.
Archibald RK, Evans K.J, Drake JB, White, III J.B.  2009.  Time Acceleration Methods for Advection on the Cubed Sphere. Lecture Notes in Computer Science. 5545:253-262.
Archibald RK, Gelb A, Yoon J.  2008.  Determining the locations and discontinuities in the derivatives of functions. Applied Numerical Mathematics. 58(5):577-592.
Archibald RK, Datskos PG, Devault G, Lamberti V, Lavrik N, Noid D, Sepaniak M, Dutta P.  2007.  Independent component analysis of nanomechanical responses of cantilever arrays. Analytica Chimica Acta. 584(1):101-105.
Archibald RK, Fann G.  2007.  Feature Selection and Classification of Hyperspectral Images With Support Vector Machines. IEEE Geoscience and Remote Sensing Letters. 4(4):674-677.
Archibald RK, Gelb A, Gottlieb S, Ryan J.  2006.  One-sided Post-processing for the Discontinuous Galerkin Method Using ENO Type Stencil Choosing and the Local Edge Detection Method. Journal of Scientific Computing. 28(2-3):167-190.
Archibald RK, Gelb A, Yoon J.  2005.  Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images. SIAM Journal on Numerical Analysis. 43(1):259.