Results 61 to 70 of about 3,216,540 (223)

The Continuous Adjoint Method on Graphics Processing Units For Compressible Flows

, 2017
Presentation illustrating the continuous adjoint method on graphics processing units for compressible ...
Asouti, V., (5316745), Tsiakas, K., (5316748), Trompoulis, X., (5316751), Ghavami Nejad, M., (5316742)   +3 more
core   +2 more sources

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source

Effect of Approximations of the Discrete Adjoint on Gradient-Based Optimization

, 2006
An exact discrete adjoint of an unstructured nite-volume solver for the RANS equations has been developed. The adjoint is exact in the sense of being based on the full linearization of all terms in the solver, including all turbulence model ...
Brezillon, Joel, Dwight, Richard
core  

ABSOLUTE CONTINUITY FOR UNBOUNDED POSITIVE SELF-ADJOINT OPERATORS

Kyushu Journal of Mathematics, 2018
Summary: The notion of absolute continuity for positive operators was studied by \textit{T. Ando} [Acta Sci. Math. 38, 253--260 (1976; Zbl 0337.47011)], where parallel sums for such operators played an important role. On the other hand, a theory for parallel sums for densely defined positive self-adjoint operators (or more generally positive forms) was
openaire   +2 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

An Adjoint State Method for Numerical Approximation of Continuous Traffic Congestion Equilibria

, 2011
The equilibrium metric for minimizing a continuous congested traffic model is the solution of a variational problem involving geodesic distances.
Jianliang Qian, Shingyu Leung, Songting Luo   +2 more
core   +1 more source

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Aerodynamic Shape Optimization Using the Discrete Adjoint of the Navier-Stokes Equations: Applications Toward Complex 3D Configutations

, 2009
Within the next few years, numerical shape optimization based on high fidelity methods is likely to play a strategic role in future aircraft design. In this context, suitable tools have to be developed for solving aerodynamic shape optimization problems,
Dwight, Richard P., Brezillon, J., Brezillon, J. (author), Dwight, R.P. (author), Dwight, R.P., Brezillon, Joël   +5 more
core  

Geometry of Continuous Adjoint Newton's Method for Bivariate Quadratics

Maple Transactions
Newton's method is a classical iterative approach for computing solutions to nonlinear equations. To overcome some of its drawbacks, one often considers a continuous adjoint form of Newton's method. This paper investigates the geometric structure of the trajectories produced by the continuous adjoint Newton's method for bivariate quadratics, a system ...
Jonathan D. Hauenstein, Caroline Hills, Hoon Hong, Francisco Ponce Carrión   +3 more
openaire   +1 more source

Aligning Initial Conditions With Long‐Term Model Dynamics to Enhance 4DVar‐Driven Medium‐Range Global Forecasts

Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract Applying the four‐dimensional variational (4DVar) method in nonlinear systems faces conflicts between a lack of long‐term dynamical information using a short assimilation window and a trap of local minima using a long window. Here, an adjusted analysis approach that incorporates a thought of pseudo‐orbit analysis adjusting into 4DVar was ...
Shujun Zhu, Bin Wang, Lin Zhang, Juanjuan Liu, Yongzhu Liu, Jiandong Gong, Lijuan Li, Shiming Xu, Yong Wang, Wenyu Huang, Li Liu, Yujun He, Lan Xu, Jilin Wang   +13 more
wiley   +1 more source