Zobrazeno 1 - 10
of 64
pro vyhledávání: '"John W. Pearson"'
Publikováno v:
Computational Optimization and Applications. 83:727-757
In this paper we present general-purpose preconditioners for regularized augmented systems, and their corresponding normal equations, arising from optimization problems. We discuss positive definite preconditioners, suitable for CG and MINRES. We con
Publikováno v:
BIT Numerical Mathematics. 62:1703-1743
We derive novel algorithms for optimization problems constrained by partial differential equations describing multiscale particle dynamics, including non-local integral terms representing interactions between particles. In particular, we investigate
Autor:
Stefan Güttel, John W. Pearson
Publikováno v:
IMA Journal of Numerical Analysis. 42:1478-1499
We devise a method for nonlinear time-dependent partial-differential-equation-constrained optimization problems that uses a spectral-in-time representation of the residual, combined with a Newton–Krylov method to drive the residual to zero. We also
Publikováno v:
Pougkakiotis, S, Pearson, J W, Leveque, S & Gondzio, J 2020, ' FAST SOLUTION METHODS FOR CONVEX QUADRATIC OPTIMIZATION OF FRACTIONAL DIFFERENTIAL EQUATIONS ', SIAM Journal on Matrix Analysis and Applications, vol. 41, no. 3, pp. 1443–1476 . https://doi.org/10.1137/19M128288X
In this paper, we present numerical methods suitable for solving convex quadratic Fractional Differential Equation (FDE) constrained optimization problems, with box constraints on the state and/or control variables. We develop an Alternating Directio
Autor:
Santolo Leveque, John W. Pearson
Publikováno v:
Numerical Linear Algebra with Applications. 29
Autor:
Santolo Leveque, John W. Pearson
Publikováno v:
PAMM. 21
Autor:
John W. Pearson, Jun Liu
Publikováno v:
Liu, J & Pearson, J W 2020, ' Parameter-robust preconditioning for the optimal control of the wave equation ', Numerical Algorithms, pp. 1171–1203 . https://doi.org/10.1007/s11075-019-00720-y
In this paper, we propose and analyze a new matching-type Schur complement preconditioner for solving the discretized first-order necessary optimality conditions that characterize the optimal control of wave equations. Coupled with this is a recently
Autor:
Santolo Leveque, John W. Pearson
We derive novel, fast, and parameter-robust preconditioned iterative methods for steady and time-dependent Navier--Stokes control problems. Our approach may be applied to time-dependent problems which are discretized using backward Euler or Crank--Ni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cee53e4eac35cbc6460f2331cfab68de
Autor:
Jennifer Pestana, John W. Pearson
Publikováno v:
Pearson, J W & Pestana, J 2020, ' Preconditioners for Krylov subspace methods: An overview ', GAMM-Reports, vol. 43, no. 4 . https://doi.org/10.1002/gamm.202000015
When simulating a mechanism from science or engineering, or an industrial process, one is frequently required to construct a mathematical model, and then resolve this model numerically. If accurate numerical solutions are necessary or desirable, this
Publikováno v:
Pearson, J, Porcelli, M & Stoll, M 2020, ' Interior Point Methods and Preconditioning for PDE-Constrained Optimization Problems Involving Sparsity Terms ', Numerical Linear Algebra with Applications, vol. 27, no. 2 . https://doi.org/10.1002/nla.2276
Partial differential equation (PDE)–constrained optimization problems with control or state constraints are challenging from an analytical and numerical perspective. The combination of these constraints with a sparsity-promoting L1 term within the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cfcec182e4ec230e627bc3d8302e3c2
https://www.pure.ed.ac.uk/ws/files/120132179/PPS_NLAA19.pdf
https://www.pure.ed.ac.uk/ws/files/120132179/PPS_NLAA19.pdf