Výsledky vyhledávání - operator-splitting algorithm*
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Combination of “quadratic adaptive algorithm” and “hybrid operator splitting” or uniformization algorithms for stability against acceleration in the Markov model of sodium ion channels in the ventricular cell model
ISSN: 0140-0118, 1741-0444, 1741-0444Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019Vydáno v Medical & biological engineering & computing (01.06.2019)“… However, the Markovian model is so stiff that speeding up the computation of the algorithms with variable time-steps always results in simulation instability…”
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Efficient operator‐splitting minimax algorithm for robust optimization
ISSN: 0094-2405, 2473-4209, 2473-4209Vydáno: United States 01.07.2025Vydáno v Medical physics (Lancaster) (01.07.2025)“…‐splitting algorithm (OS). That is, the reformulated problem is split into several subproblems, which either admit a closed…”
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In situ adaptive tabulation for the CFD simulation of heterogeneous reactors based on operator‐splitting algorithm
ISSN: 0001-1541, 1547-5905Vydáno: New York American Institute of Chemical Engineers 01.01.2017Vydáno v AIChE journal (01.01.2017)“… A numerical strategy—specifically conceived for unsteady simulation of catalytic devices—has been developed and interfaced, in the context of the operator splitting technique, with the solution of the chemical substep, which requires 70–90…”
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Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
ISSN: 0029-5981, 1097-0207Vydáno: Chichester, UK John Wiley & Sons, Ltd 20.01.2013Vydáno v International journal for numerical methods in engineering (20.01.2013)“…SUMMARY In this article, we propose different splitting procedures for the transient incompressible magnetohydrodynamics (MHD) system that are unconditionally…”
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Equivalent resolvents of Douglas-Rachford splitting and other operator splitting algorithms: a unified degenerate proximal point analysis
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 02.08.2024Vydáno v Optimization (02.08.2024)“… This approach unifies the algorithmic structures of Douglas-Rachford splitting and other related operator splitting schemes…”
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Preconditioned Three-Operator Splitting Algorithm with Applications to Image Restoration
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.09.2022Vydáno v Journal of scientific computing (01.09.2022)“… The obtained primal-dual splitting algorithms are derived from a preconditioned three-operator splitting algorithm applied to primal-dual optimality conditions in a proper product space…”
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A three-operator splitting algorithm with deviations for generalized DC programming
ISSN: 0168-9274Vydáno: Elsevier B.V 01.09.2023Vydáno v Applied numerical mathematics (01.09.2023)“…In this paper, we introduce a three-operator splitting algorithm with deviations for solving the minimization problem composed of the sum of two convex functions minus a convex and smooth function…”
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Convergence Analysis of an Inexact Three-Operator Splitting Algorithm
ISSN: 2073-8994, 2073-8994Vydáno: Basel MDPI AG 01.11.2018Vydáno v Symmetry (Basel) (01.11.2018)“…The three-operator splitting algorithm is a new splitting algorithm for finding monotone inclusion problems of the sum of three maximally monotone operators, where one is cocoercive…”
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New Splitting Algorithm with Three Inertial Steps for Three-Operator Monotone Inclusion Problems: A new splitting algorithm for three-operator monotone inclusion
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 13.06.2025Vydáno v Journal of optimization theory and applications (13.06.2025)“…This paper introduces a new splitting algorithm to solve a three-operator monotone inclusion problem that comprises of the sum of a maximal monotone operator, Lipschitz continuous monotone operator…”
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Efficient operator splitting algorithm for joint sparsity-regularized SPIRiT-based parallel MR imaging reconstruction
ISSN: 0730-725X, 1873-5894, 1873-5894Vydáno: Netherlands Elsevier Inc 01.02.2018Vydáno v Magnetic resonance imaging (01.02.2018)“… The proposed algorithm uses the operator splitting (OS) technique to decompose the problem…”
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An operator splitting algorithm for the three-dimensional advection-diffusion equation
ISSN: 0271-2091, 1097-0363Vydáno: Sussex John Wiley & Sons, Ltd 15.09.1998Vydáno v International journal for numerical methods in fluids (15.09.1998)“…Operator splitting algorithms are frequently used for solving the advection–diffusion equation, especially to deal with advection dominated transport problems…”
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A multiblock operator-splitting algorithm for unsteady flows at all speeds in complex geometries
ISSN: 0271-2091, 1097-0363Vydáno: Chichester, UK John Wiley & Sons, Ltd 10.10.2004Vydáno v International journal for numerical methods in fluids (10.10.2004)“…This paper describes a non‐iterative operator‐splitting algorithm for computing all‐speed flows in complex geometries. A pressure…”
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Total-variation based velocity inversion with Bregmanized operator splitting algorithm
ISSN: 0926-9851, 1879-1859Vydáno: Elsevier B.V 01.04.2018Vydáno v Journal of applied geophysics (01.04.2018)“… (BOS) algorithm as a combination of the Bregman iteration and the proximal forward backward operator splitting method is developed…”
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Three-operator splitting algorithm for a class of variational inclusion problems
ISSN: 1017-060X, 1735-8515Vydáno: Singapore Springer Singapore 01.08.2020Vydáno v Bulletin of the Iranian Mathematical Society (01.08.2020)“…This paper concerns with a new three-operator splitting algorithm for solving a class of variational inclusions…”
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A new operator splitting algorithm for elastoviscoplastic flow problems
ISSN: 0377-0257, 1873-2631Vydáno: Elsevier B.V 01.12.2013Vydáno v Journal of non-Newtonian fluid mechanics (01.12.2013)“…•Highly nonlinear model for elastoviscoplastic fluid.•Numerical resolution by a new operator splitting method…”
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An operator splitting algorithm for Tikhonov-regularized topology optimization
ISSN: 0045-7825, 1879-2138Vydáno: Elsevier B.V 01.01.2013Vydáno v Computer methods in applied mechanics and engineering (01.01.2013)“… ► For a certain projection map, we recover the forward-backward splitting algorithm. In this work, we investigate a Tikhonov-type regularization scheme to address the ill-posedness of the classical compliance minimization problem…”
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Combination of “generalized Trotter operator splitting” and “quadratic adaptive algorithm” method for tradeoff among speedup, stability, and accuracy in the Markov chain model of sodium ion channels in the ventricular cell model
ISSN: 0140-0118, 1741-0444, 1741-0444Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2020Vydáno v Medical & biological engineering & computing (01.09.2020)“…The fast hybrid operator splitting (HOS) and stable uniformization (UNI) methods have been proposed to save computation cost and enhance stability for Markov chain model in cardiac cell simulations…”
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Exploring the Stability Region and Designing the Operator Splitting Numerical Algorithm for the Virus Communication in Reaction Diffusion Environment
ISSN: 0012-2661, 1608-3083Vydáno: Moscow Pleiades Publishing 01.07.2025Vydáno v Differential equations (01.07.2025)“…A computer virus poses significant risks to individual computer systems. To mitigate these risks, various mathematical models have been developed. Several…”
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Four-Operator Splitting via a Forward–Backward–Half-Forward Algorithm with Line Search
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.10.2022Vydáno v Journal of optimization theory and applications (01.10.2022)“…–half-forward splitting and the Tseng’s algorithm with line search. At each iteration, our algorithm defines the step size by using a line search in which the monotone-Lipschitzian and the cocoercive operators need only one activation…”
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New Splitting Algorithm with Three Inertial Steps for Three-Operator Monotone Inclusion Problems
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer Nature B.V 01.09.2025Vydáno v Journal of optimization theory and applications (01.09.2025)“…This paper introduces a new splitting algorithm to solve a three-operator monotone inclusion problem that comprises of the sum of a maximal monotone operator, Lipschitz continuous monotone operator…”
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