Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning. - Andrew V. Knyazev; Ilya Lashuk (SIAM J. Matrix Anal. Appl., 2007)

Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in Hypre and PETSc. - Andrew V. Knyazev; Merico E. Argentati; Ilya Lashuk; Evgueni E. Ovtchinnikov (SIAM J. Sci. Comput., 2007)

Dendro: parallel algorithms for multigrid and AMR methods on 2: 1 balanced octrees. - Rahul S. Sampath; Santi S. Adavani; Hari Sundar; Ilya Lashuk; George Biros (SC, 2008)

On some versions of the element agglomeration AMGe method. - Ilya Lashuk; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

Optimizing and tuning the fast multipole method for state-of-the-art multicore architectures. - Aparna Chandramowlishwaran; Samuel Williams 001; Leonid Oliker; Ilya Lashuk; George Biros; Richard W. Vuduc (IPDPS, 2010)

Petascale Direct Numerical Simulation of Blood Flow on 200K Cores and Heterogeneous Architectures. - Abtin Rahimian; Ilya Lashuk; Shravan K. Veerapaneni; Aparna Chandramowlishwaran; Dhairya Malhotra; Logan Moon; Rahul S. Sampath; Aashay Shringarpure; Jeffrey S. Vetter; Richard W. Vuduc; Denis Zorin; George Biros (SC, 2010)

A massively parallel adaptive fast multipole method on heterogeneous architectures. - Ilya Lashuk; Aparna Chandramowlishwaran; Harper Langston; Tuan-Anh Nguyen; Rahul S. Sampath; Aashay Shringarpure; Richard W. Vuduc; Lexing Ying; Denis Zorin; George Biros (Commun. ACM, 2012)

Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. - Ilya Lashuk; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2012)

The Construction of the Coarse de Rham Complexes with Improved Approximation Properties. - Ilya Lashuk; Panayot S. Vassilevski (Comput. Methods Appl. Math., 2014)

Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. - James H. Adler; Ilya Lashuk; Scott P. MacLachlan; Ludmil T. Zikatanov (LSSC, 2017)

Composite-grid multigrid for diffusion on the sphere. - James H. Adler; Ilya Lashuk; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2018)