Publications  Howle

Michael R. Clines, Victoria E. Howle, Katharine R. Long,
Efficient OrderOptimal Preconditioners
for Implicit RungeKutta and RungeKuttaNystrom Methods Applicable to a Large
Class of Parabolic and Hyperbolic PDEs,
submitted to SIAM Journal on Scientific Computing,
(arXiv.2206.08991), June 2022.
 Victoria E. Howle and Heather A. Lewis,
Telling Our Stories: The Essay Contest
Chapter in the book
Fifty Years of Women in Mathematics:
Reminiscences, History, and Visions for the Future of AWM,
Janet L. Beery, Sarah J. Greenwald, and Cathy Kessel, Eds.,
Springer, 2022.
 Md. Masud Rana, Victoria E. Howle, Katharine Long,
Ashley Meek, and William Milestone,
A New Block Preconditioner For Implicit RungeKutta Methods
For Parabolic PDE,
SIAM Journal on Scientific Computing,
Volume 43, Issue 5, 2021.
 G. Bornia, G. Dillon, V. Howle, and G. Ke,
FieldofValues analysis of preconditioned linearized
RayleighBenard convection problems,
Journal of Computational and Applied Mathematics,
Volume 369, May 1, 2020
(published online November 2019).
 Amin Nikhaktar, Ming Zhao, Ismael Regis de Farias Jr.,
and Victoria Howle,
A SOS2 Heuristic for Separable Concave Quadratic Optimization,
submitted to INFORMS Journal on Computing, December 2018.
 Guoyi Ke, Eugenio Aulisa, Geoffrey Dillon, Victoria Howle,
Augmented Lagrangianbased Preconditioners for Steady Buoyancy Driven Flow,
Applied Mathematics Letters,
Volume 82, 2018.
 Guoyi Ke, Eugenio Aulisa, Giorgio Bornia, and Victoria Howle,
Block triangular preconditioners for linearization schemes of the
RayleighBénard convection problem,
Numerical Linear Algebra with Applications,
Volume 24, Issue 5, e2096, 2017.
 Mark Lira, Ram Iyer, A. Alexandre Trindade, and Victoria Howle,
QR Versus Cholesky: A Probabilistic Analysis,
International Journal of Numerical Analysis and Modeling,
Volume 13, No. 1, pp. 114121, 2016
 V.E. Howle, R.C. Kirby, and G. Dillon,
Block Preconditioners for Coupled Physics Problems,
SIAM Journal on Scientific Computing,
Volume 35, Number 5, pp. S368S385, 2013.

V.E. Howle, R.C. Kirby, K. Long, B. Brennan, and K. Kennedy,
Playa: Highperformance programmable linear algebra,
Scientific Programming, Volume 20, Number 3, pp. 257273, 2012.

V.E. Howle and R.C. Kirby,
Block Preconditioners for Finite Element Discretization of Incompressible
Flow with Thermal Convection,
Numerical Linear Algebra with Applications,
Vol. 19, Issue 2, pp. 427440, 2012.

S.M. Shontz, V.E. Howle, P.D. Hough,
Experience with Approximations
in the TrustRegion Parallel Direct Search Algorithm,
In Proceedings of the International Conference on Computational
Science (ICCS), Baton Rouge, LA, 2009.

H. Elman, V. Howle, J. Shadid, R. Shuttleworth, and R. Tuminaro,
A Taxonomy and Comparison of Parallel Block Multilevel
Preconditioners for the
Incompressible NavierStokes Equations,
Journal of Computational Physics, Vol. 227, Issue 3, pp.
17901808, 2008.
Also available as
Sandia Technical Report,
SAND20072761,
Sandia National Laboratories, Livermore, CA.

H. Elman, V. Howle, J. Shadid, D. Silvester, and R. Tuminaro,
Least Squares Preconditioners for Stabilized Discretizations of the
NavierStokes Equations,
SIAM Journal on Scientific Computing, Vol. 30, Issue 1,
pp. 290311, 2007.

H. Elman, V. Howle, J. Shadid, R. Shuttleworth, and R. Tuminaro,
Block Preconditioners Based on Approximate Commutators
SIAM Journal on Scientific Computing,
Vol. 27, No. 5, pp. 16511668, 2006.

V. Howle, J. Schroder, R. Tuminaro,
The Effect of Boundary Conditions within Pressure
ConvectionDiffusion Preconditioners
Sandia Technical Report,
SAND20064466,
Sandia National Laboratories, Livermore, CA, 2006.

P. Hough and V. Howle,
Fault Tolerance in LargeScale Scientific Computing
Invited chapter in book
Parallel Processing for Scientific Computing,
M. A. Heroux, P. Raghavan, and H. D. Simon, Eds.,
SIAM Press, 2006.

M. Heroux, R. Bartlett, V. Howle, R. Hoekstra, J. Hu,
T. Kolda, R. Lehoucq, K. Long, R. Pawlowski, E. Phipps,
A. Salinger, H. Thornquist, R. Tuminaro, J. Willenbring,
A. Williams, and K. Stanley,
An Overview of the Trilinos Project
ACM Transactions on Mathematical Software,
Vol. 31, No. 3, September 2005.

V. Howle and
S. Vavasis,
An Iterative Method for Solving ComplexSymmetric Systems Arising in
Electrical Power Networks
SIAM Journal on Matrix Analysis and Applications,
Vol. 26, No. 4, pp. 11501178, 2005.

M. Heroux, R. Bartlett,
V. Howle, R. Hoekstra, J. Hu, T. Kolda, R.
Lehoucq, K. Long, R. Pawlowski, E. Phipps, A.
Salinger, H. Thornquist, R. Tuminaro, J. Willenbring and A. Williams,
An Overview of Trilinos
Sandia Technical Report SAND20032927,
Sandia National Laboratories, Albuquerque, NM, August 2003.

S. Thomas, P. Boggs, and V. Howle,
A Survey of National Transmission Grid Modeling Capabilities at
DOE Laboratories
Sandia Technical Report,
SAND20038433P, July 2003.

H. Elman, V. Howle, J. Shadid, and R. Tuminaro,
A Parallel Block Multilevel Preconditioner for the 3D Incompressible NavierStokes Equations
Journal of Computational Physics,
Vol. 187, pp. 504523, May 2003.

V. Howle and
L. N. Trefethen,
Eigenvalues and Musical Instruments
J. Comp. Appl. Math,
Vol. 135, No. 1, pp. 2340,
October 1, 2001.

V. Howle,
Efficient Iterative Methods for IllConditioned Linear and Nonlinear Network
Problems
Ph.D. Dissertation, Center for Applied Mathematics,
Cornell University, January 2001.

V. Howle,
S. Shontz, and
P. Hough,
Some Parallel Extensions to Optimization Methods in OPT++
Sandia Technical Report,
SAND20008877, October 2000.
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Last updated: June 2022
Copyright © 2008  2022
Victoria Howle and
Department of Mathematics & Statistics, Texas Tech University
All rights reserved.
Comments: Victoria E. Howle
(victoria.howle@ttu.edu)