Special Issues
Table of Content

Scientific Computing and Its Application to Engineering Problems

Submission Deadline: 31 March 2025 View: 315 Submit to Special Issue

Guest Editors

Professor Higinio Ramos, University of Salamanca, Spain
Dr. Chandru Muthusamy, Vellore Institute of Technology, India

Summary

The numerous applications of differential equations (including integer/fractional order) in various branches of Science and Engineering, such as diffusion, electrodynamics, control theory, structural engineering, biophysics, etc., make the study of differential equations an essential aspect of applicable mathematics. The modelling of many physical phenomena is done through differential equations, and all these models carry a great importance and appealing aspect of describing the physical world around us.

 

In nature, some challenging geometries, nonlinearities, and complex systems of equations are frequently encountered. Often, the analytical approach fails to deal with such complicated problems, which must be addressed using appropriate numerical techniques. High-order accuracy is a prominent research focus in numerical analysis of the differential equations. In order to achieve reliable solutions, particular strategies are required as well as robust algorithms with parallelization approaches in simulations in order to reduce computing time and cost.

 

From this point of view, this special issue will focus on the development of mathematical models from real-time physical phenomena, constructing robust higher-order numerical techniques for solving them in a broader sense and emphasizing real-time applications.

 

Key Topics:

 

● Numerical analysis for differential equations

● Scientific computing for dynamical systems

● Integer/fractional order differential equations

● Applications of differential equations

● Robust computational methods

● Bifurcation analysis and dynamical systems

● Control theory

● Nonlinear dynamics

● Fluid dynamics

● Water wave problems



Published Papers


  • Open Access

    ARTICLE

    A New Isogeometric Finite Element Method for Analyzing Structures

    Pan Su, Jiaxing Chen, Ronggang Yang, Jiawei Xiang
    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1883-1905, 2024, DOI:10.32604/cmes.2024.055942
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract High-performance finite element research has always been a major focus of finite element method studies. This article introduces isogeometric analysis into the finite element method and proposes a new isogeometric finite element method. Firstly, the physical field is approximated by uniform B-spline interpolation, while geometry is represented by non-uniform rational B-spline interpolation. By introducing a transformation matrix, elements of types C0 and C1 are constructed in the isogeometric finite element method. Subsequently, the corresponding calculation formats for one-dimensional bars, beams, and two-dimensional linear elasticity in the isogeometric finite element method are derived through variational principles and… More >

  • Open Access

    ARTICLE

    Numerical Simulation and Parallel Computing of Acoustic Wave Equation in Isotropic-Heterogeneous Media

    Arshyn Altybay, Niyaz Tokmagambetov
    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1867-1881, 2024, DOI:10.32604/cmes.2024.054892
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract In this paper, we consider the numerical implementation of the 2D wave equation in isotropic-heterogeneous media. The stability analysis of the scheme using the von Neumann stability method has been studied. We conducted a study on modeling the propagation of acoustic waves in a heterogeneous medium and performed numerical simulations in various heterogeneous media at different time steps. Developed parallel code using Compute Unified Device Architecture (CUDA) technology and tested on domains of various sizes. Performance analysis showed that our parallel approach showed significant speedup compared to sequential code on the Central Processing Unit (CPU). More >

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