Search Results - "Pearson, John W."

Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization by Pearson, John W., Gondzio, Jacek

“…Interior point methods provide an attractive class of approaches for solving linear, quadratic and nonlinear programming problems, due to their excellent…”
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Numerical methods for the computation of the confluent and Gauss hypergeometric functions by Pearson, John W., Olver, Sheehan, Porter, Mason A.

“…The two most commonly used hypergeometric functions are the confluent hypergeometric function and the Gauss hypergeometric function. We review the available…”
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On symmetric positive definite preconditioners for multiple saddle-point systems by Pearson, John W, Potschka, Andreas

“…We consider symmetric positive definite preconditioners for multiple saddle-point systems of block tridiagonal form, which can be applied within the Minres…”
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Preconditioners for Krylov subspace methods: An overview by Pearson, John W., Pestana, Jennifer

“…When simulating a mechanism from science or engineering, or an industrial process, one is frequently required to construct a mathematical model, and then…”
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Double saddle‐point preconditioning for Krylov methods in the inexact sequential homotopy method by Pearson, John W., Potschka, Andreas

“…We derive an extension of the sequential homotopy method that allows for the application of inexact solvers for the linear (double) saddle‐point systems…”
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General-purpose preconditioning for regularized interior point methods by Gondzio, Jacek, Pougkakiotis, Spyridon, Pearson, John W.

“…In this paper we present general-purpose preconditioners for regularized augmented systems, and their corresponding normal equations, arising from optimization…”
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A spectral-in-time Newton–Krylov method for nonlinear PDE-constrained optimization by Güttel, Stefan, Pearson, John W

“…We devise a method for nonlinear time-dependent partial-differential-equation-constrained optimization problems that uses a spectral-in-time representation of…”
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Interior‐point methods and preconditioning for PDE‐constrained optimization problems involving sparsity terms by Pearson, John W., Porcelli, Margherita, Stoll, Martin

“…Summary Partial differential equation (PDE)–constrained optimization problems with control or state constraints are challenging from an analytical and…”
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Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time by Leveque, Santolo, Pearson, John W.

“…In this article, we derive a new, fast, and robust preconditioned iterative solution strategy for the all‐at‐once solution of optimal control problems with…”
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Parameter-robust preconditioning for the optimal control of the wave equation by Liu, Jun, Pearson, John W.

“…In this paper, we propose and analyze a new matching-type Schur complement preconditioner for solving the discretized first-order necessary optimality…”
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A new preconditioning approach for an interior point‐proximal method of multipliers for linear and convex quadratic programming by Bergamaschi, Luca, Gondzio, Jacek, Martínez, Ángeles, Pearson, John W., Pougkakiotis, Spyridon

“…In this article, we address the efficient numerical solution of linear and quadratic programming problems, often of large scale. With this aim, we devise an…”
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Fast iterative solvers for an optimal transport problem by Herzog, Roland, Pearson, John W., Stoll, Martin

“…Optimal transport problems pose many challenges when considering their numerical treatment. We investigate the solution of a PDE-constrained optimisation…”
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A rational deferred correction approach to parabolic optimal control problems by Güttel, Stefan, Pearson, John W

“…Abstract The accurate and efficient solution of time-dependent partial differential equation (PDE)-constrained optimization problems is a challenging task, in…”
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MultiShape: a spectral element method, with applications to Dynamic Density Functional Theory and PDE-constrained optimization by Roden, Jonna C, Mills-Williams, Rory D, Pearson, John W, Goddard, Benjamin D

“…A new numerical framework is developed to solve general nonlinear and nonlocal PDEs on complicated two-dimensional domains. This enables the solution of a wide…”
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Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics by Aduamoah, Mildred, Goddard, Benjamin D., Pearson, John W., Roden, Jonna C.

“…We derive novel algorithms for optimization problems constrained by partial differential equations describing multiscale particle dynamics, including non-local…”
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Refined saddle-point preconditioners for discretized Stokes problems by Pearson, John W., Pestana, Jennifer, Silvester, David J.

“…This paper is concerned with the implementation of efficient solution algorithms for elliptic problems with constraints. We establish theory which shows that…”
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A radial basis function method for solving PDE-constrained optimization problems by Pearson, John W.

“…In this article, we apply the theory of meshfree methods to the problem of PDE-constrained optimization. We derive new collocation-type methods to solve the…”
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Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function by Pearson, John W., Stoll, Martin, Wathen, Andrew J.

“…SUMMARYOptimal control problems with partial differential equations as constraints play an important role in many applications. The inclusion of bound…”
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Preconditioned iterative methods for Navier–Stokes control problems by Pearson, John W.

“…PDE-constrained optimization problems are a class of problems which have attracted much recent attention in scientific computing and applied science. In this…”
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A new approximation of the Schur complement in preconditioners for PDE-constrained optimization by Pearson, John W., Wathen, Andrew J.

“…SUMMARY Saddle point systems arise widely in optimization problems with constraints. The utility of Schur complement approximation is now broadly appreciated…”
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