Results 31 to 40 of about 10,608 (327)
An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains [PDF]
SIAM Journal on Matrix Analysis and Applications, 2012 Classical Schwarz methods and preconditioners subdivide the domain of a PDE into subdomains and use Dirichlet transmission conditions at the artificial interfaces. Optimized Schwarz methods use Robin (or higher order) transmission conditions instead, and the Robin parameter can be optimized so that the resulting iterative method has an optimized ...
Gander Martin J. +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2019 Development of efficient finite difference schemes and iterative methods for solving anisotropic diffusion problems in an arbitrary geometry domain is considered.
Vasily M. Volkov, Alena V. Prakonina
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Computation, 2020 In this paper, we consider the numerical solution of the optimal control problems of the elliptic partial differential equation. Numerically tackling these problems using the finite element method produces a large block coupled algebraic system of ...
Kizito Muzhinji, Stanford Shateyi
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Preconditioned Dirichlet-Dirichlet Methods for Optimal Control of Elliptic PDE
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The discretization of optimal control of elliptic partial differential equations problems yields optimality conditions in the form of large sparse linear systems with block structure. Correspondingly, when the solution method is a Dirichlet-Dirichlet non-
Loghin Daniel
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Iterative strategies for solving linearized discrete mean field games systems
Networks and Heterogeneous Media, 2012 Mean fields games (MFG) describe the asymptotic behavior of stochastic differential games in which thenumber of players tends to $+\infty$. Under suitable assumptions,they lead to a new kind of system of two partial differential equations: a forward ...
Yves Achdou, Victor Perez
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A Survey of Low-Rank Updates of Preconditioners for Sequences of Symmetric Linear Systems
Algorithms, 2020 The aim of this survey is to review some recent developments in devising efficient preconditioners for sequences of symmetric positive definite (SPD) linear systems A k x k = b k , k = 1 , … arising in many scientific applications, such as ...
Luca Bergamaschi
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A parallelizable preconditioner for the iterative solution of implicit Runge–Kutta-type methods
Journal of Computational and Applied Mathematics, 1999 This article is concerned with the implementation of implicit Runge-Kutta (RK) methods such as those based on Gauss, Radon and Lobatto points applied to (stiff) ordinary differential equations. The use of a preconditioner, whose decomposition cost for parallel implementation is equivalent to the cost for the implicit-Euler method, is proposed.
Jay, Laurent O., Braconnier, Thierry
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Krylov Subspace Solvers and Preconditioners
ESAIM: Proceedings and Surveys, 2018 In these lecture notes an introduction to Krylov subspace solvers and preconditioners is presented. After a discretization of partial differential equations large, sparse systems of linear equations have to be solved.
Vuik C.
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On a computer implementation of the block Gauss-Seidel method for normal systems of equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 This article focuses on the modification of the block option Gauss-Seidel method for normal systems of equations, which is a sufficiently effective method of solving generally overdetermined, systems of linear algebraic equations of high dimensionality ...
Alexander I Bogdanova +1 more
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Synchrotron Radiation for Quantum Technology
Advanced Functional Materials, EarlyView.Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
wiley +1 more source