truncation, it is possible to estimate the errors and determine the error-bars for spectral functions, which is important when making accurate comparison to the results obtained by other methods and for determining the errors in the extracted quantities (such as peak positions, heights, and widths...
Idesman A, Dey B (2022) Optimal local truncation error method for 2-D elastodynamics problems on irregular domains and unfitted Cartesian meshes. Int J Numer Anal Methods Geomech 46(16):3096–3120 Article Google Scholar Idesman A, Dey B (2020) A high-order numerical approach with Cartesian...
Part I of this work presents a detailed multi-methods comparison of the spatial errors associated with the one-dimensional finite difference, finite elemen... TE Voth,MJ Martinez,MA Christon - 《International Journal for Numerical Methods in Fluids》 被引量: 35发表: 2010年 Fourier analysis of ...
Low-rank Krylov methods are one of the few options available in the literature to address the numerical solution of large-scale general linear matrix equations. These routines amount to well-known Krylov schemes that have been equipped with a couple of low-rank truncations to maintain a feasible...
A numerical method for one-group slab-geometry discrete ordinates problems with no spatial truncation error A generalization of the one-group Spectral Green''s Function (SGF) method is developed for multigroup, slab-geometry discrete ordinates (SN) problems. The ... RCD Barros,EW Larsen - 《...
The incremental perturbation method enables a numerical dynamic analysis of structure to provide automatically a proper time length at every incremental step. In this paper, an effective strategy for truncation error control is proposed in order to compute an appropriate value of the time length. The...
This is clearly true if the goal is to perform the diagonalization analytically, but even numerical diagonalization involves dealing with the fact that some of the matrix elements of H2 in this basis are IR divergent. To deal with this, we impose an IR regulator, and project onto the ...
Such methods attempt to bound the space of QFTs using only basic principles such as symmetries, unitarity, crossing, etc. The most famous bootstrap technique is the numerical conformal bootstrap pioneered in [1]. It allows one to derive precise bounds on the space of conformal field theories ...
(mean squared error),TSVD introduce biases to reduce variances,therefore the stability and reliability of the solution can be improved.Truncation parameter is key factor of TSVD,but it is difficult to determine in case of the gently declined singular values.The parameter determined by GCV(...
A truncation method is presented to deal with the ill-posedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical examples show that the proposed method is effective and stable. (C) 2012 ...