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ENERGY AND QUADRATIC INVARIANTS PRESERVING METHODS FOR HAMILTONIAN SYSTEMS WITH HOLONOMIC CONSTRAINTS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (1)

We introduce a new class of parametrized structure-preserving partitioned RungeKutta (alpha-PRK) methods for Hamiltonian systems with holonomic constr......

GRAPH SPARSIFICATION BY UNIVERSAL GREEDY ALGORITHMS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (4)

Graph sparsification is to approximate an arbitrary graph by a sparse graph and is useful in many applications, such as simplification of social netwo......

TWO-STEP SCHEME FOR BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (2)

In this paper, a stochastic linear two-step scheme has been presented to approximate backward stochastic differential equations (BSDEs). A necessary a......

DOUBLE FLIP MOVE FOR ISING MODELS WITH MIXED BOUNDARY CONDITIONS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (5)

This note introduces the double flip move to accelerate the Swendsen-Wang algorithm for Ising models with mixed boundary conditions below the critical......

UNCONDITIONAL ERROR ANALYSIS OF VEMS FOR A GENERALIZED NONLINEAR SCHRODINGER EQUATION

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; ()

In this work, we focus on the conforming and nonconforming leap-frog virtual element methods for the generalized nonlinear Schrodinger equation, and e......

A HYBRID VISCOSITY APPROXIMATION METHOD FOR A COMMON SOLUTION OF A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES, AN EQUILIBRIUM PROBLEM, AND FIXED POINT PROBLEMS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (1)

In this paper, we introduce a new iterative method based on the hybrid viscosity ap-proximation method for finding a common element of the set of solu......

ALIKHANOV LINEARIZED GALERKIN FINITE ELEMENT METHODS FOR NONLINEAR TIME-FRACTIONAL SCHRODINGER EQUATIONS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (6)

We present Alikhanov linearized Galerkin methods for solving the nonlinear time fractional Schrodinger equations. Unconditionally optimal estimates of......

ON FINITE ELEMENT APPROXIMATIONS TO A SHAPE GRADIENT FLOW IN SHAPE OPTIMIZATION OF ELLIPTIC PROBLEMS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (5)

Shape gradient flows are widely used in numerical shape optimization algorithms. We investigate the accuracy and effectiveness of approximate shape gr......

A LINEARLY-IMPLICIT ENERGY-PRESERVING ALGORITHM FOR THE TWO-DIMENSIONAL SPACE-FRACTIONAL NONLINEAR SCHRO•DINGER EQUATION BASED ON THE SAV APPROACH

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (5)

The main objective of this paper is to present an efficient structure-preserving scheme, which is based on the idea of the scalar auxiliary variable a......

A TRUST-REGION METHOD FOR NONSMOOTH NONCONVEX OPTIMIZATION

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (4)

We propose a trust-region type method for a class of nonsmooth nonconvex optimization problems where the objective function is a summation of a (proba......

SOLVING SYSTEMS OF PHASELESS EQUATIONS VIA RIEMANNIAN OPTIMIZATION WITH OPTIMAL SAMPLING COMPLEXITY

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; ()

A Riemannian gradient descent algorithm and a truncated variant are presented to solve systems of phaseless equations |Ax|2 = y. The algorithms are de......

A NEW GLOBAL OPTIMIZATION ALGORITHM FOR MIXED-INTEGER QUADRATICALLY CONSTRAINED QUADRATIC FRACTIONAL PROGRAMMING PROBLEM

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; ()

The mixed-integer quadratically constrained quadratic fractional programming (MIQCQFP) problem often appears in various fields such as engineering pra......

MIXED DISCONTINUOUS GALERKIN METHOD FOR QUASI-NEWTONIAN STOKES FLOWS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; ()

In this paper, we introduce and analyze an augmented mixed discontinuous Galerkin (MDG) method for a class of quasi-Newtonian Stokes flows. In the mix......

A POSITIVITY-PRESERVING FINITE ELEMENT METHOD FOR QUANTUM DRIFT-DIFFUSION MODEL

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (5)

In this paper, we propose a positivity-preserving finite element method for solving the three-dimensional quantum drift-diffusion model. The model con......

A SSLE-TYPE ALGORITHM OF QUASI-STRONGLY SUB-FEASIBLE DIRECTIONS FOR INEQUALITY CONSTRAINED MINIMAX PROBLEMS

期刊: JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023; 41 (1)

In this paper, we discuss the nonlinear minimax problems with inequality constraints. Based on the stationary conditions of the discussed problems, we......

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