Suchergebnisse - "Structure-preserving algorithms"
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Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint
ISSN: 0168-9274, 1873-5460Veröffentlicht: Elsevier B.V 01.12.2021Veröffentlicht in Applied numerical mathematics (01.12.2021)“… We develop fully discrete structure-preserving numerical algorithms of arbitrarily high order for the Allen-Cahn model with a nonlocal constraint subject to the Neumann boundary condition …”
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Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits
ISSN: 0938-8974, 1432-1467Veröffentlicht: New York Springer US 01.12.2025Veröffentlicht in Journal of nonlinear science (01.12.2025)“… We introduce a novel class of symplectic numerical schemes for solving nonlinear Volterra-type integral equations that arise from Hamiltonian systems subject to non-local interactions …”
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Structure-Preserving Algorithms for a Class of Dynamical Systems
ISSN: 0168-9673, 1618-3932Veröffentlicht: 01.01.2007Veröffentlicht in Acta Mathematicae Applicatae Sinica (01.01.2007)Volltext
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Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation
ISSN: 0885-7474, 1573-7691Veröffentlicht: New York Springer US 01.06.2024Veröffentlicht in Journal of scientific computing (01.06.2024)“… The modified DNSFSE subjects to the conservation of mass and energy, which is crucial to develop structure-preserving numerical schemes …”
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Algebraically stable high-order multi-physical property-preserving methods for the regularized long-wave equation
ISSN: 0168-9274Veröffentlicht: Elsevier B.V 01.09.2024Veröffentlicht in Applied numerical mathematics (01.09.2024)“… In this paper, based on the framework of the supplementary variable method, we present two classes of high-order, linearized, structure-preserving algorithms for simulating the regularized long-wave equation …”
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Efficient energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 11.08.2020Veröffentlicht in arXiv.org (11.08.2020)“… Alternatively, we introduce a supplementary variable to transform the initial model into a relaxation system, which allows us to construct structure-preserving algorithms more easily …”
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On the robustness of equilibria in generalized aggregative games
ISSN: 2576-2370Veröffentlicht: IEEE 14.12.2020Veröffentlicht in Proceedings of the IEEE Conference on Decision & Control (14.12.2020)“… We assess the robustness of equilibria in generalized Nash equilibrium problems in aggregative form subject to linear coupling constraints affected by uncertainty with a possibly unknown probability distribution …”
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