Journal of Mathematics

Advances in Barycentric Interpolation Methods and their Applications


Publishing date
01 Jul 2021
Status
Closed
Submission deadline
26 Feb 2021

Lead Editor

1Shandong Jianzhu University, Jinan, China

2North China University of Science and Technology, Qinhuangdao, China

3University of Colorado Boulder, Boulder, USA

This issue is now closed for submissions.
More articles will be published in the near future.

Advances in Barycentric Interpolation Methods and their Applications

This issue is now closed for submissions.
More articles will be published in the near future.

Description

In recent decades, barycentric interpolation methods have attracted increasing attention in the field of numerical methods because of stability and have become a powerful tool for investigating boundary value problems, initial problems, nonlinear problems, and so on. There are barycentric Lagrange interpolation methods and barycentric rational interpolation methods which are different from the weight function.

The analysis of barycentric interpolation methods still faces many new challenges. When employing barycentric interpolation methods to solve practical problems, it is crucial to be able to completely characterize the properties of the barycentric interpolation methods, especially for higher dimensional problems.

This Special Issue aims to gather research focusing on the development of barycentric interpolation methods and their applications. We invite authors to submit original research as well as review articles that reveal the properties of barycentric interpolation methods and their applications for solving practical problems.

Potential topics include but are not limited to the following:

  • Boundedness analysis, stability
  • Asymptotical analysis
  • Barycentric interpolation methods for integral equations
  • Barycentric interpolation methods for differential equations
  • Barycentric interpolation methods for interface problems
  • Numerical computation analysis
  • Stability of barycentric rational interpolation methods

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5531282
  • - Research Article

Optimal Design of Intracranial Hematoma Puncture Drainage Tube Based on Adaptive Bifurcation Algorithm

Jincai Chang | Liyan Jia | ... | Zhuoyang Li
  • Special Issue
  • - Volume 2021
  • - Article ID 6692024
  • - Research Article

An Efficient Modified AZPRP Conjugate Gradient Method for Large-Scale Unconstrained Optimization Problem

Ahmad Alhawarat | Thoi Trung Nguyen | ... | Zabidin Salleh
  • Special Issue
  • - Volume 2021
  • - Article ID 8874432
  • - Research Article

Linear Barycentric Rational Method for Two-Point Boundary Value Equations

Qian Ge | Xiaoping Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 5544575
  • - Research Article

Extended Error Expansion of Classical Midpoint Rectangle Rule for Cauchy Principal Value Integrals on an Interval

Chunxiao Yu | Lingling Wei
  • Special Issue
  • - Volume 2021
  • - Article ID 6698615
  • - Research Article

Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method

Qian Ge | Xiaoping Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 6644057
  • - Research Article

Exact Solution for the Torsional Vibration of an Elastic Pile in a Radially Inhomogeneous Saturated Soil

Xibin Li | Zhiqing Zhang | Jianchao Sheng
  • Special Issue
  • - Volume 2021
  • - Article ID 6626647
  • - Research Article

A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System

Chunxiao Yu | Dinghui Jing | ... | Yanfang Yang
  • Special Issue
  • - Volume 2020
  • - Article ID 1034639
  • - Research Article

SVR Prediction Algorithm for Crack Propagation of Aviation Aluminum Alloy

Jincai Chang | Zhihang Wang | ... | Zhao Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 8811201
  • - Review Article

Nontrivial Solutions for the th Lidstone Boundary Value Problem

Yaohong Li | Jiafa Xu | Yongli Zan
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
Impact Factor0.971
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.