Results 61 to 70 of about 3,221,012 (201)
Numerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.ABSTRACT Recent development on mixed precision techniques has largely enhanced the performance of various linear algebra solvers, one of which is the solver for the least squares problem. By transforming least squares problems into augmented linear systems, mixed precision techniques are capable of refining the lower precision solution to the working ...
Bowen Gao, Yuxin Ma, Meiyue Shao
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Relations between transfer matrices and numerical stability analysis to avoid the $\Omega d$ problem
, 2015 The transfer matrix method is usually employed to study problems described by $N$ equations of matrix Sturm-Liouville (MSL) kind. In some cases a numerical degradation (the so called $\Omega d$ problem) appears thus impairing the performance of the ...
Pernas-Salomón, R. +2 more
core +1 more source
tmm4py: Global Ocean Biogeochemical Modeling in Python With the Transport Matrix Method
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 8, August 2025.Abstract Marine biogeochemical models are important tools in the quest to understand the cycling of chemical and biological tracers such as nutrients, carbon and oxygen, as well as key components of the Earth System Models used to project climate change.
Samar Khatiwala
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A close look at Newton–Cotes integration rules
Results in Nonlinear Analysis, 2019 Newton–Cotes integration rules are the simplest methods in numerical integration. The main advantage of using these rules in quadrature software is ease of programming.
Emre Sermutlu
doaj
Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
, 2014 We compare the effectiveness of solving Dirichlet-Neumann problems via the Craig-Sulem (CS) expansion, the Ablowitz-Fokas-Musslimani (AFM) implicit formulation, the dual AFM formulation (AFM*), a boundary integral collocation method (BIM), and the ...
Vasan, Vishal, Wilkening, Jon
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A Review of Green's Function Methods for Tracer Timescales and Pathways in Ocean Models
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract Understanding advective‐diffusive dispersal of trace substances in environmental fluids like the global ocean is a ubiquitous challenge in geophysics. Since the turn of the millennium, substantial progress has been made in the theory, implementation in models, and application of such tracers in oceanography.
Thomas W. N. Haine +3 more
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Stabilized Krylov Subspace Recurrences via Randomized Sketching
Numerical Linear Algebra with Applications, Volume 32, Issue 3, June 2025.ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
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Computational Complexity of Iterated Maps on the Interval (Extended Abstract)
, 2010 The exact computation of orbits of discrete dynamical systems on the interval is considered. Therefore, a multiple-precision floating point approach based on error analysis is chosen and a general algorithm is presented.
Anatole Katok +19 more
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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
Water Resources Research, Volume 61, Issue 6, June 2025.Abstract The ECOsystem Spaceborne Thermal Radiometer Experiment on Space Station (ECOSTRESS) collects thermal observations from the International Space Station to support evapotranspiration (ET) research at fine spatial resolutions (70 m × 70 m). Initial ET from ECOSTRESS Collection 1 was used in scientific research and applications, though subsequent ...
Zoe Amie Pierrat +13 more
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