A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator. - Liping Liu; Jeffrey P. Thomas; Earl H. Dowell; Peter J. Attar; Kenneth C. Hall (J. Comput. Phys., 2006)

On convergence of moments in uncertainty quantification based on direct quadrature. - Peter J. Attar; Prakash Vedula (Reliab. Eng. Syst. Saf., 2013)

Grid adaptation and non-iterative defect correction for improved accuracy of numerical solutions of PDEs. - Mani Razi; Peter J. Attar; Prakash Vedula (Appl. Math. Comput., 2015)

Adaptive finite difference solutions of Liouville equations in computational uncertainty quantification. - Mani Razi; Peter J. Attar; Prakash Vedula (Reliab. Eng. Syst. Saf., 2015)

Numerical Solution of Multidimensional Hyperbolic PDEs Using Defect Correction on Adaptive Grids. - Mani Razi; Peter J. Attar; Prakash Vedula (J. Sci. Comput., 2016)