Results 41 to 50 of about 739,176 (157)

Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur, Eric Parish, Anthony Gruber, Ian Moore, Christopher Wentland, Alejandro Mota   +5 more
wiley   +1 more source

Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]

, 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

On symplectic 4-manifolds and contact 5-manifolds [PDF]

, 2008
In dieser Arbeit werden einige Aussagen über symplektische Strukturen auf 4-dimensionalen Mannigfaltigkeiten und Kontaktstrukturen auf 5-dimensionalen Mannigfaltigkeiten bewiesen.
Hamilton, Mark
core   +1 more source

Long‐Time H1$$ {H}^1 $$‐Stability of the Cauchy One‐Leg θ$$ \theta $$‐Method for the Navier‐Stokes Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this paper we study the long‐time stability of the Cauchy one‐leg θ$$ \theta $$‐methods for the two‐dimensional Navier‐Stokes equations. We establish the uniform dissipativity in H1$$ {H}^1 $$, in the sense that the semi‐discrete‐in‐time approximations possess a global attractor for a small enough time step, using the discrete Grönwall ...
Isabel Barrio Sanchez, Catalin Trenchea, Wenlong Pei   +2 more
wiley   +1 more source

Towards a Group-Theoretical Interpretation of Mechanics [PDF]

, 2013
We argue that the classical description of a symplectic manifold endowed with a Hamiltonian action of an abelian Lie group G and the corresponding quantum theory can be understood as different aspects of the unitary representation theory of G.
Catren, Gabriel
core  

Shadows of Symplectic Balls

, 2022
reservedThe purpose is to give an overview on the squeezing and non-squeezing phenomena in symplectic geometry. Taking our lead to Gromov, we ask when the volume of a 2k-dimensional symplectic projection of a 2n-dimensional symplectic ball, i.e.
CISCATO, FILIPPO
core  

Quantum fields on time-periodic AdS3 /ℤ

Journal of High Energy Physics
We consider a free complex massive scalar on the quotient spacetime AdS3 /ℤ, which has the isometry group SO(2, 2) rather than its universal cover. This problem is of interest as a special example of QFT on a spacetime with closed timelike curves (CTCs),
Walker Melton, Andrew Strominger, Tianli Wang   +2 more
doaj   +1 more source

Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester, Anas A. Rahman, Bo‐Jian Shen   +2 more
wiley   +1 more source

Unified Ray and Amplitude Tracing ODE Systems for the Eikonal and Transport Equations via Contact Geometry

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT High‐frequency seismic wave descriptions are essential for fundamental geophysical applications, including earthquake hypocenter location, magnitude estimation, and traveltime–amplitude tomography. These descriptions rely on two coupled PDEs: the eikonal equation (governing traveltimes) and the transport equation (governing amplitudes ...
Ahmet Beyaz, Çağrı Diner, Mustafa Tevfik Aktar   +2 more
wiley   +1 more source

Equivariant spaces of matrices of constant corank one

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi, Daniele Faenzi, Dragoş Frăţilă   +2 more
wiley   +1 more source