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New Orientations in Applied and Computational Mathematics

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01About This Special Issue

An increasing interest in analyzing and modeling high-dimensional data, both static and dynamic, and handling very large data sets in multiple scientific domains has led to an increased flow of ideas between applied mathematics, statistics, and computation. A synergy is emerging among fields such as statistical modeling of high-dimensional data, parameter estimation, optimization, machine learning, dynamical systems, numerical methods, and computational mathematics. One aspect of the development is the rapid convergence of research interests between Statistics and Computer Science. Sophisticated mathematical tools are increasingly used to develop new models, modify existing ones, and analyze system performance. Therefore, this special issue focuses on new orientations in Applied and Computational Mathematics. We invite researchers to submit original research articles on current state-of-the-art theories and techniques in this field.

02Meet the Guest Editors

Our distinguished editors bring deep subject-matter expertise to curate high-quality research and ensure a rigorous peer-review process.

Lead Guest Editor

Snehanshu Saha

Department of Computer Science and Engineering, People's Education Society Institute of Technology, Bangalore South Campus, Bangalore, India

Guest Editor

Harendra Kumar

Department of Mathematics and Statistics, Gurukula Kangari University, Haridwar, India

Guest Editor

E. Alvarz Verdejo

Department of Methods for Economics and Business, University of Granada, Granada, Spain

Guest Editor

Zhaorui Li

Computational Physics and Methods Division (Ccs-2), Los Alamos National Laboratory, Los Alamos, United States

Guest Editor

Sunil Kumar

Department of Mathematics, National Institute of Technology, Jamshedpur, India

Guest Editor

Cristina Caridade

Department of Physics and Mathematics, Coimbra Institute of Engineering, Polytechnic Institute of Coimbra, Coimbra, Portugal

Guest Editor

Lukasz Glinka

American Association of International Researchers under Natural Science Forum (Membership NS-AAIR-1011, 2014-present), American Research Institute for Policy Development, New York, United States

Guest Editor

Fateme Ghomanjani

Internal and Preventive Medicine, College of Veterinary Medicine, Mosul University, Mosul, Iran

Guest Editor

Petr Belov

Moscow State University after Bauman, Москва, Russian Federation

Guest Editor

Hai Zhang

School of Mathematics and Computation Science, Anqing Normal University, Anqing, China

Guest Editor

Onur Alp Ilhan

Mathematics Department, Erciyes University, Kayseri, Turkey

Guest Editor

lugen zake

University of Mosul, Iraq

Guest Editor

lugen zake

University of Mosul, Mosul, Iraq

Guest Editor

Asif Ekbal

Department of Computer Science and Engineering, Indian Institute Of Technology Patna, Patna, India

Guest Editor

Mahmoud Farag

Mathematics and Statistics Department, Minia University, Cairo, Egypt

Guest Editor

Taha Abdel Wahid

Basic Sciences Department, ELGazeera High Institute for Engineering and Technology, Cairo, Egypt

Guest Editor

Rahul Banerjee

Department Of Mathematics, St. Paul's Cathedral Mission College, Kolkata, India

Guest Editor

Mohammed O. Al-Amr

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq

Guest Editor

Mahboubeh Molavi-Arabshahi

Marine Science Department, Iranian National Institute for Oceanography & Atmospheric science (INIOAS), Tehran, Iran

03Published Articles

The following articles have been published in this special issue.

  • Comparison between Finite Volume Method (FVM) Based on Inviscid and Viscous Flow with Experimental and Fluent Results

    Abobaker Mohammed Alakashi , Bambang Basuno , Hasan Taher. M. Elkamel

    Issue: Volume 4, Issue 1-1, January 2015
    Pages: 12-17
    Received: 4 January 2015
    Accepted: 26 January 2015
    Published: 9 February 2015
    DOI: 10.11648/j.acm.s.2015040101.13
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    Abstract: The Finite Volume Method (FVM) is currently the most popular method in CFD. The main reason is that it can resolve some of the difficulties that the other methods have. Finite volume methods are a class of discretization schemes that have proven highly successful in approximating the solution of a wide variety of conservation law systems [1]. Finit... Show More
  • Implicit Runge-Kutta Method for Van Der Pol Problem

    Jafar Biazar , Meysam Navidyan

    Issue: Volume 4, Issue 1-1, January 2015
    Pages: 6-11
    Received: 7 June 2014
    Accepted: 25 June 2014
    Published: 13 July 2014
    DOI: 10.11648/j.acm.s.2015040101.12
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    Abstract: In this manuscript the implicit Runge-Kutta (IRK) method, with three slopes of order five has been explained, and is applied to Van der pol stiff differential equation. Truncation error, of order five, has been estimated. Stability of the procedure for the Van der pol equation, is analyzed by the Lyapunov method. To illustrate the structure of the... Show More
  • 3D Goursat Problem in the Non-Classical Treatment for Manjeron Generalized Equation with Non-Smooth Coefficients

    Ilgar Gurbat oglu Mamedov

    Issue: Volume 4, Issue 1-1, January 2015
    Pages: 1-5
    Received: 21 April 2014
    Accepted: 22 June 2014
    Published: 30 June 2014
    DOI: 10.11648/j.acm.s.2015040101.11
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    Abstract: In this paper substantiated for a Manjeron generalized equation with non-smooth coefficients a three dimensional Goursat problem -3D Goursat problem with non-classical boundary conditions is considered, which requires no matching conditions. Equivalence of these conditions three dimensional boundary condition is substantiated classical, in the case... Show More