Results 31 to 40 of about 171 (111)
The Lp$L^p$‐diameter of the space of contractible loops
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area‐preserving diffeomorphisms endowed with the Lp$L^p$‐metric. As a special case, this resolves the Lp$L^p$‐metric analog of the well‐known question in symplectic topology ...
Michael Brandenbursky, Egor Shelukhin
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SPH Simulates Steep‐Stepped Spillway Flows Assessing Convergence, DDT Effects, and Pressure Accuracy
Chemical Engineering &Technology, Volume 49, Issue 4, April 2026.Numerical investigation of high‐gradient stepped spillway flows using the SPH method, highlighting the simulation setup and skimming flow regime. Convergence analysis compares results with and without the Density Diffusion Term (DDT), showing its effectiveness in reducing spurious oscillations.
Eduardo Masaji Endo +3 more
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu +4 more
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Assessment of Vehicle Stability Processes Under Unsteady Flow Conditions
Journal of Flood Risk Management, Volume 19, Issue 1, March 2026.ABSTRACT The vehicle stability criteria are based on experimental and theoretical studies that do not account for the unsteady nature of floods. The rapid variation of depths and velocities in floods causes an additional hydrodynamic force in the direction of the flow, destabilising a vehicle that would otherwise be safe in steady flow conditions. This
Fatima Azhar +2 more
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 2, February 2026.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
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The Necessary Uniformity of Physical Probability
Philosophy and Phenomenological Research, Volume 112, Issue 1, Page 290-306, January 2026.ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
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Module structure of Weyl algebras
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
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The Computation of Quasiterminator Orbits in Asteroid Exploration Based on the Quasi‐Newton Method
International Journal of Aerospace Engineering, Volume 2026, Issue 1, 2026.This paper investigates the computational methods of global mapping quasiterminator orbits in asteroid exploration missions. Quasiterminator orbits can serve as a unified term for terminator orbits and their related trajectories, encompassing certain resonant terminator orbits (RTOs) as well as some quasiperiodic orbits on two‐dimensional invariant ...
Qian Wang +4 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang +5 more
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Normal Form of Equivariant Maps and Singular Symplectic Reduction in Infinite Dimensions with Applications to Gauge Field Theory [PDF]
, 2019 Inspired by problems in gauge field theory, this thesis is concerned with various aspects of infinite-dimensional differential geometry. In the first part, a local normal form theorem for smooth equivariant maps between tame Fréchet manifolds is ...
Diez, Tobias, Diez, T.
core +1 more source