# 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.