Results 21 to 30 of about 2,192 (177)

Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]

open access: yes, 2011
In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
core   +1 more source

Poisson Structures for PDEs Associated with Diffeomorphism Groups [PDF]

open access: yes, 2004
We study Poisson and Lie-Poisson structures on the diffeomorphism groups with a smooth metric spray in connection with dynamics of nonlinear PDEs. In particular, we provide a precise analytic sense in which the time t map for the Euler equations of an ...
Vasylkevych, Sergiy
core   +1 more source

Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species [PDF]

open access: yes, 2022
Deriving emergent patterns from models of biological processes is a core concern of mathematical biology. In the context of partial differential equations (PDEs), these emergent patterns sometimes appear as local minimisers of a corresponding energy ...
Giunta, V.   +7 more
core   +2 more sources

On the Stability of the Periodic Waves for the Benney System [PDF]

open access: yes, 2022
We analyze the Benney model for interaction of short and long waves in resonant water wave interactions. Our particular interest is in the periodic traveling waves, which we construct and study in detail. The main results are that, for all natural values
Stefanov, Atanas   +2 more
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

open access: yesAdvanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia   +3 more
wiley   +1 more source

Engineering Strategies to Suppress Thermal Runaway Propagation in Lithium‐Ion Battery: Mechanisms, Metrics, Materials, and Evaluation Methods

open access: yesAdvanced Science, EarlyView.
Thermal runaway propagation can transform a single‐cell failure into a system‐level hazard in lithium‐ion battery packs. This review clarifies how heat transfer, gas venting, combustion, and configuration govern cell‐to‐cell failure, and links measurable metrics, pathway‐oriented suppression materials, and experimental/modeling tools to guide safer ...
Jinrong Su   +15 more
wiley   +1 more source

Approachability in population games [PDF]

open access: yes, 2020
This paper reframes approachability theory within the context of population games. Thus, whilst a player still aims at driving her average payoff to a predefined set, her opponent is no longer malevolent but instead is extracted randomly at each instant ...
Norman, Thomas W. L.   +2 more
core   +2 more sources

Output feedback stabilization of reaction–diffusion PDEs with a non-collocated boundary condition [PDF]

open access: yes, 2022
ANR-20-IDEES-0002International audienceThis paper addresses the control design problem of output feedback stabilization of a reactiondiffusion PDE with a non-collocated boundary condition.
Lhachemi, Hugo, Prieur, Christophe
core   +1 more source

Pattern‐Aware Intelligence Enables Nondestructive, Rapid Quantification of High‐Aspect‐Ratio Silicon Etching

open access: yesAdvanced Science, EarlyView.
Pattern‐dependent etching is converted into a physical prior for intelligent reconstruction of high‐aspect‐ratio silicon structures. Combining YOLO‐Pose feature extraction with a topography network, the framework retrieves depth, sidewall angle, and scallop texture from minimal destructive observations, enabling accurate cross‐scale metrology and near ...
Shuyan He   +4 more
wiley   +1 more source

Â-and Î-stability of collocation Runge-Kutta methods [PDF]

open access: yes
International audienceThis paper deals with stability of classical Runge-Kutta collocation methods. When such methods are embedded in linearly implicit methods as developed in [12] and used in [13] for the time integration of nonlinear evolution PDEs ...
Lacroix-Violet, Ingrid   +1 more
core   +1 more source

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