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An accurate Legendre collocation method for third-kind Volterra integro-differential equations with non-smooth solutions

期刊: NUMERICAL ALGORITHMS, ; ()

This work is to analyze a Legendre collocation approximation for third-kind Volterra integro-differential equations. The rigorous error analysis in th......

A first-order inexact primal-dual algorithm for a class of convex-concave saddle point problems

期刊: NUMERICAL ALGORITHMS, ; ()

In this paper, we study a first-order inexact primal-dual algorithm (I-PDA) for solving a class of convex-concave saddle point problems. The I-PDA, wh......

Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis

期刊: NUMERICAL ALGORITHMS, ; ()

In this paper, we focus on the computation and analysis of the highly oscillatory Bessel transforms with endpoint singularities of algebraic and logar......

Newton method for l(0)-regularized optimization

期刊: NUMERICAL ALGORITHMS, ; ()

As a tractable approach, regularization is frequently adopted in sparse optimization. This gives rise to regularized optimization, which aims to minim......

Numerical study on Moore-Penrose inverse of tensors via Einstein product

期刊: NUMERICAL ALGORITHMS, ; ()

The notation of Moore-Penrose inverse of matrices has been extended from matrix space to even-order tensor space with Einstein product. In this paper,......

Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations

期刊: NUMERICAL ALGORITHMS, ; ()

In this paper, some local and parallel finite element methods based on two-grid discretizations are proposed and investigated for the unsteady Navier-......

A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications

期刊: NUMERICAL ALGORITHMS, ; ()

In this paper, based on the three-term conjugate gradient method and the hybrid technique, we propose a hybrid three-term conjugate gradient projectio......

Barycentric prolate interpolation and pseudospectral differentiation

期刊: NUMERICAL ALGORITHMS, ; ()

In this paper, we provide further illustrations of prolate interpolation and pseudospectral differentiation based on the barycentric perspectives. The......

Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrodinger equation

期刊: NUMERICAL ALGORITHMS, ; ()

This paper presents two second-order and linear finite element schemes for the multi-dimensional nonlinear time-fractional Schrodinger equation. In th......

A space-time finite element method for solving linear Riesz space fractional partial differential equations

期刊: NUMERICAL ALGORITHMS, ; ()

In this paper, numerical solutions for linear Riesz space fractional partial differential equations with a second-order time derivative are considered......

Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations

期刊: NUMERICAL ALGORITHMS, ; ()

This article deals with an establishment and sharp theoretical analysis of a numerical scheme devised for solving the multi-dimensional multi-term tim......

Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model

期刊: NUMERICAL ALGORITHMS, ; ()

In this article, a time two-mesh (TT-M) algorithm combined with the H-1-Galerkin mixed finite element (FE) method is introduced to numerically solve t......

Two-step modulus-based matrix splitting iteration methods for retinex problem

期刊: NUMERICAL ALGORITHMS, ; ()

Retinex theory was proposed by Land in the 1970s. Its theoretical basis is that the color of an object is determined by the reflection ability of the ......

A class of blending functions with C-infinity smoothness

期刊: NUMERICAL ALGORITHMS, ; ()

In this work, by combining a class of local support and infinitely differentiable functions together with the sinc function, we construct a new class ......

The joint bidiagonalization process with partial reorthogonalization

期刊: NUMERICAL ALGORITHMS, ; ()

The joint bidiagonalization (JBD) process is a useful algorithm for the computation of the generalized singular value decomposition (GSVD) of a matrix......

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