R. Tuminaro

Computational Theory and Mathematics · 2002–2012

A researcher in the Science corpus: 7 papers; trusts 11 researchers and is trusted by 2 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 16 citations into it; #9,921 of 12,182 by trust here, #3,681 by citations
• Computational Mechanics — 15 citations into it; #8,099 of 10,001 by trust here, #3,275 by citations
• Statistics and Probability — 10 citations into it
• Mechanics of Materials — 7 citations into it

Whom R. Tuminaro trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Michele Benzi
2. Howard C. Elman
3. P. Wesseling
4. Bruce Hendrickson
5. Ivo Babuska

Who trusts R. Tuminaro overall

1. J. Monteagudo
2. Abbas Firoozabadi
3. Dana A. Knoll

Papers from R. Tuminaro's perspective

Ordered by how strongly the researchers R. Tuminaro trusts endorse each paper. Same corpus, a different order for every researcher.

1. An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (SIAM Journal on Numerical Analysis)
2. An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (Journal of Computational Physics)
3. Preconditioning techniques for large linear systems: a survey
4. A multigrid tutorial
5. High-Order Collocation Methods for Differential Equations with Random Inputs (SIAM Journal on Scientific Computing)
6. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics
7. Block-diagonal preconditioning for spectral stochastic finite-element systems
8. Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (SIAM Journal on Numerical Analysis)
9. LAPACK Users' Guide
10. A review of algebraic multigrid

Their papers

• An overview of the Trilinos project (2005) — 1,170 citations
• On backtracking failure in newton-GMRES methods with a demonstration for the navier-stokes equations (2002) — 55 citations
• A comparison of eigensolvers for large‐scale 3D modal analysis using AMG‐preconditioned iterative methods (2005) — 107 citations
• Inexact Schwarz‐algebraic multigrid preconditioners for crack problems modeled by extended finite element methods (2012) — 60 citations
• ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO LINEAR DIFFUSION EQUATIONS WITH RANDOM DATA (2011) — 92 citations
• BOUNDARY CONDITIONS IN APPROXIMATE COMMUTATOR PRECONDITIONERS FOR THE NAVIER-STOKES EQUATIONS ∗ (2009) — 59 citations
• Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations (2005) — 48 citations