Operator splitting with spatial-temporal discretization
Functional Analysis
2011-03-03 v1 Numerical Analysis
Abstract
Continuing earlier investigations, we analyze the convergence of operator splitting procedures combined with spatial discretization and rational approximations.
Keywords
Cite
@article{arxiv.1103.0316,
title = {Operator splitting with spatial-temporal discretization},
author = {András Bátkai and Petra Csomós and Bálint Farkas and Gregor Nickel},
journal= {arXiv preprint arXiv:1103.0316},
year = {2011}
}
Related papers
View all related →
Functional Analysis · Mathematics
Operator splittings and spatial approximations for evolution equations
András Bátkai, Petra Csomós, Gregor Nickel
2009-06-21
Functional Analysis · Mathematics
Proper splittings of Hilbert space operators
Guillermina Fongi, María Celeste Gonzalez
2024-03-18
Numerical Analysis · Mathematics
Convergence analysis of a full discretization of operator-valued differential Riccati equations
Eskil Hansen, Tony Stillfjord, Teodor Åberg
2026-04-29
Dynamical Systems · Mathematics
Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs
Andreas Bartel, Malak Diab, Andreas Frommer, Michael Günther
2023-09-01
Optimization and Control · Mathematics
A consistent operator splitting algorithm and a two-metric variant: Application to topology optimization
Cameron Talischi, Glaucio H. Paulino
2013-07-22
Optimization and Control · Mathematics
The operator splitting schemes revisited: primal-dual gap and degeneracy reduction by a unified analysis
Feng Xue
2023-02-21
Numerical Analysis · Mathematics
Splitting methods for solution decomposition in nonstationary problems
Yalchin Efendiev, Petr N. Vabishchevich
2020-08-20
Numerical Analysis · Mathematics
A randomized operator splitting scheme inspired by stochastic optimization methods
Monika Eisenmann, Tony Stillfjord
2022-10-12
Optimization and Control · Mathematics
Proximal Splitting Methods in Signal Processing
Patrick L. Combettes, Jean-Christophe Pesquet
2010-05-19
Analysis of PDEs · Mathematics
Operator splitting for abstract Cauchy problems with dynamical boundary condition
Petra Csomós, Matthias Ehrhardt, Bálint Farkas
2021-05-21
Optimization and Control · Mathematics
Linear convergence of the generalized PPA and several splitting methods for the composite inclusion problem
Li Shen, Shaohua Pan
2016-09-28
Numerical Analysis · Mathematics
Operator splitting for coupled linear port-Hamiltonian systems
Jan Lorenz, Tom Zwerschke, Michael Günther, Kevin Schäfers
2025-01-14
Numerical Analysis · Mathematics
Splitting Schemes for Non-Stationary Problems with a Rational Approximation for Fractional Powers of the Operator
Petr N. Vabishchevich
2020-12-08
Neural and Evolutionary Computing · Computer Science
Splitting method for spatio-temporal search efforts planning
Chouchane Mathieu, Paris Sébastien, Le Gland François, Ouladsine Mustapha
2017-02-24
Optimization and Control · Mathematics
Robust Convergence Analysis of Three-Operator Splitting
Han Wang, Mahyar Fazlyab, Shaoru Chen, Victor M. Preciado
2019-10-25
Optimization and Control · Mathematics
A hierarchical time-splitting approach for solving finite-time optimal control problems
Georgios Stathopoulos, Tamás Keviczky, Yang Wang
2013-04-09
Optimization and Control · Mathematics
A splitting algorithm for dual monotone inclusions involving cocoercive operators
Bang Cong Vu
2011-10-11
Numerical Analysis · Mathematics
Temporal Splitting algorithms for non-stationary multiscale problems
Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich
2021-06-02
Numerical Analysis · Mathematics
Energy-based operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: The Stokes case
Lucia Carichino, Giovanna Guidoboni, Marcela Szopos
2018-04-16
Optimization and Control · Mathematics
Operator Splitting Performance Estimation: Tight contraction factors and optimal parameter selection
Ernest K. Ryu, Adrien B. Taylor, Carolina Bergeling, Pontus Giselsson
2020-05-01
Optimization and Control · Mathematics
Proximal Splitting Algorithms for Convex Optimization: A Tour of Recent Advances, with New Twists
Laurent Condat, Daichi Kitahara, Andrés Contreras, Akira Hirabayashi
2023-02-27
Numerical Analysis · Mathematics
A full space-time convergence order analysis of operator splittings for linear dissipative evolution equations
Eskil Hansen, Erik Henningsson
2016-05-10
Functional Analysis · Mathematics
Sampling discretization and related problems
B. Kashin, E. Kosov, I. Limonova, V. Temlyakov
2022-02-11
Machine Learning · Computer Science
Metric Learning to Accelerate Convergence of Operator Splitting Methods for Differentiable Parametric Programming
Ethan King, James Kotary, Ferdinando Fioretto, Jan Drgona
2024-04-02
Probability · Mathematics
A quick probability-oriented introduction to operator splitting methods
M. B. Vovchanskyi
2024-04-03