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Block sampling Kaczmarz-Motzkin methods for consistent linear systems

期刊: CALCOLO, 2021; 58 (3)

The sampling Kaczmarz-Motzkin (SKM) method is a generalization of the randomized Kaczmarz method and the Motzkin method. It first samples some rows of......

Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations

期刊: CALCOLO, 2021; 58 (2)

For the discrete linear system resulting from certain steady-state space-fractional diffusion equations, we construct a lopsided scaled HSS (LSHSS) it......

Asymptotic stability analysis of Runge-Kutta methods for differential-algebraic equations with multiple delays

期刊: CALCOLO, 2021; 58 (3)

This paper deals with asymptotic stability of differential-algebraic equations with multiple delays and numerical solutions generated by Runge-Kutta m......

A weighted and balanced FEM for singularly perturbed reaction-diffusion problems

期刊: CALCOLO, 2021; 58 (2)

A new finite element method is presented for a general class of singularly perturbed reaction-diffusion problems -epsilon(2) Delta u + bu = f posed on......

A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics

期刊: CALCOLO, 2021; 58 (3)

Matrix decompositions play a prominent role in the theoretical study and numerical calculation of split quaternion mechanics. This paper, by means of ......

Local ultraconvergence of quadratic element

期刊: CALCOLO, 2021; 58 (3)

The displacement and gradient of a finite element solution are of primary interest and a high accuracy displacement and gradient approximation are alw......

Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators

期刊: CALCOLO, 2021; 58 (3)

Given a linear self-adjoint differential operator L along with a discretization scheme (like Finite Differences, Finite Elements, Galerkin Isogeometri......

Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems

期刊: CALCOLO, 2021; 58 (1)

In this paper, based on the continuous collocation polynomial approximations, we derive and analyse a class of trigonometric collocation integrators f......

A lower dimensional linear equation approach to the M-tensor complementarity problem

期刊: CALCOLO, 2021; 58 (1)

We are interested in finding a solution to the tensor complementarity problem with a strong M-tensor, which we call the M-tensor complementarity probl......

C-0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients

期刊: CALCOLO, 2021; 58 (1)

This paper is concerned with C-0 (non-Lagrange) finite element approximations of the linear elliptic equations in non-divergence form and the Hamilton......

Inertial generalized proximal Peaceman-Rachford splitting method for separable convex programming

期刊: CALCOLO, 2021; 58 (1)

The Peaceman-Rachford splitting method (PRSM) is a preferred method for solving the two-block separable convex minimization problems with linear const......

Randomized double and triple Kaczmarz for solving extended normal equations

期刊: CALCOLO, 2021; 58 (2)

The randomized Kaczmarz algorithm has received considerable attention recently because of its simplicity, speed, and the ability to approximately solv......

Superconvergence of the space-time discontinuous Galerkin method for linear nonhomogeneous hyperbolic equations

期刊: CALCOLO, 2021; 58 (2)

In this study, we discuss the superconvergence of the space-time discontinuous Galerkin method for the first-order linear nonhomogeneous hyperbolic eq......

Spectral collocation method for nonlinear Riemann-Liouville fractional differential system

期刊: CALCOLO, 2021; 58 (2)

The spectral collocation method is investigated for the system of nonlinear Riemann-Liouville fractional differential equations (FDEs). The main idea ......

On maximum residual block and two-step Gauss-Seidel algorithms for linear least-squares problems

期刊: CALCOLO, 2021; 58 (2)

The block Gauss-Seidel algorithm can significantly outperform the simple randomized Gauss-Seidel algorithm for solving overdetermined least-squares pr......

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