Results 51 to 60 of about 6,655 (117)
Numerical implementation of some reweighted path integral methods
, 2003 The reweighted random series techniques provide finite-dimensional approximations to the quantum density matrix of a physical system that have fast asymptotic convergence. We study two special reweighted techniques that are based upon the Levy-Ciesielski
Doll, J. D. +2 more
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A rational‐Chebyshev projection method for nonlinear eigenvalue problems
Numerical Linear Algebra with Applications, Volume 31, Issue 6, December 2024.Abstract This article describes a projection method based on a combination of rational and polynomial approximations for efficiently solving large nonlinear eigenvalue problems. In a first stage the nonlinear matrix function T(λ)$$ T\left(\lambda \right) $$ under consideration is approximated by a matrix polynomial in λ$$ \lambda $$.
Ziyuan Tang, Yousef Saad
wiley +1 more source
Effective action of a five-dimensional domain wall
, 2009 We calculate the four-dimensional low-energy effective action for the perturbations of a two-scalar domain wall model in five dimensions. Comparison of the effective action to the Nambu-Goto action reveals the presence of an additional coupling between ...
K Zuleta +3 more
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On cyclotomic matrices involving Gauss sums over finite fields [PDF]
Inspired by the works of L. Carlitz and Z.-W. Sun on cyclotomic matrices, in this paper, we investigate certain cyclotomic matrices involving Gauss sums over finite fields, which can be viewed as finite field analogues of certain matrices related to the ...
Hai-Liang Wu +3 more
semanticscholar +1 more source
Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
, 2003 In this article, I provide significant mathematical evidence in support of the existence of short-time approximations of any polynomial order for the computation of density matrices of physical systems described by arbitrarily smooth and bounded from ...
A. D. Klemm +15 more
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Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.Abstract In this article, we present a formally fourth‐order accurate hybrid‐variable (HV) method for the Euler equations in the context of method of lines. The HV method seeks numerical approximations to both cell averages and nodal solutions and evolves them in time simultaneously; and it is proved in previous work that these methods are ...
Xianyi Zeng
wiley +1 more source
Variational formulation and monolithic solution of computational homogenization methods
International Journal for Numerical Methods in Engineering, Volume 125, Issue 20, 30 October 2024.Abstract In this contribution, we derive a consistent variational formulation for computational homogenization methods and show that traditional FE 2$$ {}^2 $$ and IGA 2$$ {}^2 $$ approaches are special discretization and solution techniques of this most general framework.
Christian Hesch +2 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 125, Issue 18, 30 September 2024.Abstract The solution approximation for partial differential equations (PDEs) can be substantially improved using smooth basis functions. The recently introduced mollified basis functions are constructed through mollification, or convolution, of cell‐wise defined piecewise polynomials with a smooth mollifier of certain characteristics.
Dewangga Alfarisy +4 more
wiley +1 more source
An extended isogeometric collocation method for fracture analysis
International Journal for Numerical Methods in Engineering, Volume 125, Issue 16, 30 August 2024.Abstract A collocation method is developed for discrete fracture models in the context of the partition‐of‐unity method. Spline technologies used in isogeometric analysis (IGA) are exploited to provide a smooth inter‐element transition of gradients, thus allowing to get rid of extra flux terms at element boundaries which are generated by Lagrange ...
Farshid Fathi +2 more
wiley +1 more source