期刊： NUMERICAL ALGORITHMS, 2023; 92 (2)
We construct new families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons that are H-1 and H(div) c......
期刊： NUMERICAL ALGORITHMS, 2023; 92 (1)
The paper revisits the topic of block-Jacobi algorithms for the symmetric eigenvalue problem by proposing a few alternative versions. The main advanta......
期刊： NUMERICAL ALGORITHMS, 2023; 92 (1)
The approximation of trace(f(Omega)), where f is a function of a symmetric matrix Omega, can be challenging when Omega is exceedingly large. In such a......
期刊： NUMERICAL ALGORITHMS, 2023; 93 (1)
We consider the model problem of mixing of passive tracers by an incompressible viscous fluid. Addressing questions of optimal control in realistic ge......
期刊： NUMERICAL ALGORITHMS, 2023; 92 (1)
The exponential analysis of 2n uniformly collected samples from an n-term exponential sum is equivalent to the reconstruction of a rational function o......
期刊： NUMERICAL ALGORITHMS, 2023; 93 (3)
In this article, a structure-preserving second-order backward difference formula (BDF2) finite element (FE) method for finding the numerical solution ......
期刊： NUMERICAL ALGORITHMS, 2023; ()
Mean-square stability analysis of linear stochastic differential systems obtained perturbing ordinary systems by linear terms driven by independent Wi......
期刊： NUMERICAL ALGORITHMS, 2023; ()
In this paper, we present a scattered data approximation method for detecting and approximating the discontinuities of a bivariate function and its gr......
期刊： NUMERICAL ALGORITHMS, 2023; 94 (1)
We describe an interpretation of parareal as a two-level additive Schwarz preconditioner in the time domain. We show that this two-level preconditione......
期刊： NUMERICAL ALGORITHMS, 2023; ()
This paper deals with the computation of the Lerch transcendent by means of the Gauss-Laguerre formula. An a priori estimate of the quadrature error, ......
期刊： NUMERICAL ALGORITHMS, 2023; ()
In this paper, we develop a convex splitting algorithm for the time-dependent Ginzburg-Landau equation, which can preserve both the energy stability a......
期刊： NUMERICAL ALGORITHMS, 2023; 92 (2)
Presented are new hybrid restarted Lanczos bidiagonalization methods for the computation of a few of the extreme singular triplets of very large matri......
期刊： NUMERICAL ALGORITHMS, 2023; 92 (4)
The asymptotic stable region and long-time decay rate of solutions to linear homogeneous Caputo time fractional ordinary differential equations (F-ODE......
期刊： NUMERICAL ALGORITHMS, 2023; 92 (1)
Stratified cubature rules are proposed to approximate double integrals defined on the real positive semiaxis. In particular, anti-Gauss cubature formu......
期刊： NUMERICAL ALGORITHMS, 2023; 93 (3)
Conjugate gradient methods are widely used for solving large-scale unconstrained optimization problems since they have attractive practical factors su......
