Results 51 to 60 of about 852,005 (184)
Gram Decay and Intrinsic Dimensions of Krylov Subspaces
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley +1 more source
Toward an Efficient Shifted Cholesky QR for Applications in Model Order Reduction Using pyMOR
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Many model order reduction (MOR) methods rely on the computation of an orthonormal basis of a subspace onto which the large full order model is projected. Numerically, this entails the orthogonalization of a set of vectors. The nature of the MOR process imposes several requirements for the orthogonalization process.
Maximilian Bindhak +2 more
wiley +1 more source
Roundoff error analysis of the fast Fourier transform
, 1971 This paper presents an analysis of roundoff errors occurring in the floating-point computation of the fast Fourier transform. Upper bounds are derived for the ratios of the root-mean-square (RMS) and maximum roundoff errors in the output data to the RMS ...
George U. Ramos
core +1 more source
Local continuum consistent peridynamics with bond‐associated modeling and dynamic fracture
GAMM-Mitteilungen, Volume 49, Issue 1-2, March/June 2026.Abstract This paper explores the theoretical foundations and practical challenges of peridynamics as a nonlocal continuum mechanics method. We establish connections between classical continuum mechanics principles and peridynamics formulations, with a particular focus on understanding how the pairwise force function in peridynamics relates to stress ...
Kai Partmann +3 more
wiley +1 more source
Symplectic integration without roundoff error [PDF]
, 2006 Most numerical integration algorithms are not designed specifically for Hamiltonian systems and do not respect their characteristic properties, which include the preservation of phase space volume with time. This can lead to spurious damping or excitation.
openaire +2 more sources
The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin +18 more
wiley +1 more source
Journal of Time Series Analysis, Volume 47, Issue 2, Page 279-303, March 2026.This article reviews and compares popular methods, some old and some recent, that produce time series having Poisson marginal distributions. The article begins by narrating ways where time series with Poisson marginal distributions can be produced.
Jiajie Kong, Robert Lund
wiley +1 more source
A uniform white-noise model for fixed-point roundoff errors in digital systems
, 2002 Fixed-point roundoff noise in digital implementation of linear systems arises due to overflow, quantization of coefficients and input signals, and arithmetical errors.
Vladimirov, I. G., Diamond, P.
core +1 more source
Revista Brasileira de Cartografia, 2018 This paper presents EPLSimp, an algorithm for map generalization that avoids the creation of topological inconsistencies. EPLSimp is based on Visvalingam-Whyatt's (VW) algorithm on which least "important" points are removed first.
Maurício G. Gruppi +4 more
doaj
Simple but accurate periodic solutions for the nonlinear pendulum equation
Revista Brasileira de Ensino de FísicaDespite its elementary structure, the simple pendulum oscillations are described by a nonlinear differential equation whose exact solution for the angular displacement from vertical as a function of time cannot be expressed in terms of an elementary ...
Fábio M.S. Lima
doaj +1 more source