publications

—2022—

M.J. Picklo and J.K. Ryan,“Enhanced Multi-Resolution Analysis for Multi-Dimensional Data Utilizing Line Filtering Techniques”, SIAM Journal on Scientific Computing, accepted.

—2021—

J.K. Ryan, “Capitalizing on Superconvergence for more accurate Multi-Resolution discontinuous Galerkin Methods”, Communications on Applied Mathematics and Computation.
A. Dedner, J. Giesselmann, T. Pryer, and J.K. Ryan, “Residual estimates for post-processors in elliptic problems”, Journal of Scientific Computing, vol. 88.

—2020—

J. Docampo Sánchez, G. Jacobs, X. Li, and J.K. Ryan, “Enhancing Accuracy with a Convolution Filter: What Works and Why!”, Computers and Fluids, vol. 213.

—2019—

X. Li, J.K. Ryan, R.M. Kirby and C. Vuik, “Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy”, Journal of Scientific Computing, vol. 81, pp 1150–1180.

—2018—

B.W. Wissink, G.B. Jacobs, J.K. Ryan, W.S. Don and E.T.A. van der Weide, “Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels”, Journal of Scientific Computing, vol. 77(1), pp 579–596.
A. Jallepalli, J. Docampo Sánchez, J.K. Ryan, R. Haimes, and R.M. Kirby, “On the Treatment of Field Quantities and Elemental Continuity in FEM Solutions”, IEEE TVCG, vol. 24(1) pp 903–912.
X. Meng and J.K. Ryan, “Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws”, IMA Journal of Numerical Analysis, vol. 38, pp 125–155.

—2017—

M. Mirzargar, A. Jallepalli, J.K. Ryan, and R.M. Kirby, “Hexagonal Smoothness-Increasing Accuracy- Conserving Filtering”, Journal of Scientific Computing, vol. 73(2-3), pp. 1072–1093.
J. Docampo Sánchez, J.K. Ryan, M. Mirzargar, and R.M. Kirby, “Multi-dimensional Filtering: Reducing the dimension through rotation”, SIAM Journal on Scientific Computing, vol. 39(5), pp. A2179–A2200.
X. Meng and J.K. Ryan, “Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement”, Numerische Mathematik, vol. 136(1), pp. 27–73.

—2016—

X. Li, J.K. Ryan, R.M. Kirby and C. Vuik, “Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Derivative Approximations of discontinuous Galerkin (DG) Solutions over Nonuniform Meshes and Near Boundaries”, Journal of Computational and Applied Mathematics, vol. 294, pp. 275–296.
M. Mirzargar, J.K. Ryan and R.M. Kirby, “Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering and Quasi-Interpolation: A Unified View”, Journal of Scientific Computing, vol. 67 pp. 237–261.

—2015—

J.K. Ryan, X. Li, R.M. Kirby, and C. Vuik, “One-Sided Position-Dependent Smoothness-Increasing Accuracy- Conserving (SIAC) Filtering Over Uniform and Non-Uniform Meshes”, Journal of Scientific Computing, vol. 64, pp. 773–817.

—2014—

L. Ji, P. van Slingerland, J.K. Ryan, and C.W. Vuik, “Superconvergent Error Estimates for a Position-Dependent Smoothness-Increasing Accuracy-Conserving Filter for DG Solutions”, Mathematics of Computation, vol. 83, pp. 2239–2262.
H. Mirzaee, J. King, J.K. Ryan, and R.M. Kirby, “Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Discontinuous Galerkin Solutions: Application to Structured Tetrahedral Meshes”, Journal of Scientific Computing, vol. 58, pp. 690–704.

—2013—

H. Mirzaee, J. King, J.K. Ryan, and R.M. Kirby, “Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Discontinuous Galerkin Solutions Over Unstructured Triangular Meshes”, SIAM Journal on Scientific Computing, vol. 35, pp. A212–A230.
L. Ji, Y. Xu, and J.K. Ryan, “Negative-order norm estimates for nonlinear hyperbolic conservation laws”, Journal of Scientific Computing, vol. 54, pp. 269–310.

—2012—

J. King, H. Mirzaee, J.K. Ryan, and R.M. Kirby, “Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for discontinuous Galerkin Solutions: Improved Errors Versus Higher-Order Accuracy”, Journal of Scientific Computing, vol. 53, pp. 129–149.
H. Mirzaee, J.K. Ryan, and R.M. Kirby, “Efficient Implementation of Smoothness-Increasing Accuracy- Conserving (SIAC) Filters for Discontinuous Galerkin Solutions”, Journal of Scientific Computing, vol. 52, pp. 85–112.
L. Ji, Y. Xu, and J.K. Ryan, “Accuracy enhancement of the linear convection-diffusion equation in multiple dimensions”, Mathematics of Computation, vol. 81, pp. 1929–1950.

—2011—

H. Mirzaee, L. Ji, J.K. Ryan, and R.M. Kirby, “Smoothness-increasing accuracy-conserving (SIAC) post- processing for discontinuous Galerkin solutions over structured triangular meshes”, SIAM Journal on Numerical Analysis, vol. 49, pp. 1899–1920.
P. van Slingerland, J.K.Ryan, and C. Vuik, “Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Accuracy for Improving discontinuous Galerkin solutions”, SIAM Journal on Scientific Computing, vol. 33, pp. 802–825.

—2010—

H. Mirzaee, R.M. Kirby, and J.K. Ryan, “Quantification of Errors introduced in the Numerical Approximation of SIAC Filtering”, Journal of Scientific Computing, vol. 45, pp. 447–470.

—2009—

J.K. Ryan and B. Cockburn, “Local Derivative Post-processing for Discontinuous Galerkin Method”, Journal of Computational Physics, vol. 228, pp. 8642–8664.
D.Walfisch, J.K.Ryan, R.M.Kirby, and R.Haimes, “One-Sided Smoothness-Increasing Accuracy-Conserving Filtering for Enhanced Streamline Integration through Discontinuous Fields”, Journal of Scientific Computing, vol. 38, pp. 164–184.

—2008—

M. Steffan, S.Curtis, R.M. Kirby, and J.K. Ryan, “Investigation of Smoothness Enhancing Accuracy- Conserving Filters for Improving Streamline Integration Through Discontinuous Fields”, IEEE Transactions on Visualization and Computer Graphics, vol. 14, pp. 680–692.

—2007—

S.Curtis, R.M. Kirby, J.K. Ryan, C.-W. Shu, “Post-processing for the discontinuous Galerkin method over nonuniform meshes”, SIAM Journal on Scientific Computing, vol. 30, pp. 272–289.

—2006—

R.Archibald, A.Gelb, S.Gottlieb, and J.K.Ryan, “One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method”, Journal of Scientific Computing, vol. 28, pp. 167–190.

—2004—

J.K. Ryan, C.-W. Shu, and H.L. Atkins, “Extension of a Post-Processing technique for discontinuous Galerkin Methods for hyperbolic equations with application to an aeroacoustic problem”, SIAM Journal on Scientific Computing, vol. 26, pp. 821–843.

—2003—

J.K. Ryan and C.-W. Shu, “One-sided post-processing for the discontinuous Galerkin methods”, Methods and Applications of Analysis, vol. 10, pp. 295–307.