Search Results - "structure-preserving algorithms"

Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint by Hong, Qi, Gong, Yuezheng, Zhao, Jia, Wang, Qi

“…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 by Cheng, Pengcheng

“…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 by Wang, Ling-shu, Feng, Guang-hui

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Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation by Ding, Hengfei, Qu, Haidong, Yi, Qian

“… 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 by Li, Xin, Hu, Xiuling

“…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 by Hong, Qi, Wang, Yushun, Gong, Yuezheng

“… 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 by Fabiani, Filippo, Margellos, Kostas, Goulart, Paul J.

“…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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