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New Algorithms for Solving Nonlinear Eigenvalue Problems

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021; 61 (5)

To solve a nonlinear eigenvalue problem we develop algorithms which compute zeros of A(lambda) = 0 We show how to apply third order iteration methods ......

A Modified Trapezoidal Broyden's Method for Nonlinear Equations

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021; 61 (4)

A modified Trapezoidal Broyden's method for nonlinear equations is presented. We design and implement an alternative approximation to Jacobian matrix ......

Multizonal Internal Layers in the Singularly Perturbed Equation with a Discontinuous Right-Hand Side

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021; 61 (6)

This paper investigates a two-point boundary value problem for a second-order singularly perturbed ordinary differential equation in the case of multi......

High Accuracy Trigonometric Approximations of the Real Bessel Functions of the First Kind

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2020; 60 (1)

We construct high accuracy trigonometric interpolants from equidistant evaluations of the Bessel functions of the first kind and integer order. The tr......

Reconstruction of Magnetic Susceptibility Using Full Magnetic Gradient Data

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2020; 60 (6)

The paper discusses the specificities of solving the inverse problem of reconstructing the magnetic susceptibility using complete tensor magnetic grad......

Analytical Study on the Generalized Fifth-Order Kaup-Kupershmidt Equation from the Shallow Water Wave

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2020; 60 (9)

In this paper, the generalized fifth-order Kaup-Kupershmidt (KK) equation from the shallow water wave, have been investigated. With the help of biline......

Abundant Dynamical Behaviors of Bounded Traveling Wave Solutions to Generalized -Equation

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019; 59 (6)

We study existence and dynamics of bounded traveling wave solutions to generalized -equation from the perspective of dynamical systems. We obtain bifu......

JIF:0.77

Mesh Curving and Refinement Based on Cubic Bezier Surface for High-Order Discontinuous Galerkin Methods

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019; 59 (12)

In this paper, three-dimensional mesh curving and refinement methods are examined for high-order flow simulations with discontinuous Galerkin (DG) met......

JIF:0.77

Secondary Polytope and Secondary Power Diagram

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019; 59 (12)

An ingenious construction of Gel'fand, Kapranov, and Zelevinsky [5] geometrizes the triangulations of a point configuration, such that all coherent tr......

JIF:0.77

A Class of Momentum-Preserving Finite Difference Schemes for the Korteweg-de Vries Equation

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019; 59 (10)

To preserve some invariant properties of the original differential equation is an important criterion to judge the success of a numerical simulation. ......

JIF:0.77

Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrodinger Equation

期刊: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018; 58 (11)

In this paper, we investigate an inhomogeneous fourth-order nonlinear Schrodinger (NLS) equation, generated by deforming the inhomogeneous Heisenberg ......

JIF:0.77

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