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Special Issue: Advanced numerical methods and their applications

Guest Editors

Prof. Carmelo Clavero
Department of Applied Mathematics & IUMA, University of Zaragoza, Zaragoza, Spain
Email: clavero@unizar.es


Prof. Juan Carlos Jorge
Department of Computer Science, Mathematics and Statistics & Institute of Smart Cities, Public University of Navarre, Pamplona, Spain
Email: jcjorge@unavarra.es

Manuscript Topics


The design and implementation of numerical methods has been one of the most relevant fields in recent decades within the area of Applied Mathematics. The main reason for such success comes from the need to solve complicated problems that arise in the modeling of many interesting phenomena in physics, engineering, economics, biology, medicine or social sciences among other fields of knowledge; we can mention heat transfer, pollution, chemical reactions, acoustic waves, structure vibrations, nuclear physics, optics, semiconductors and economic models, as typical examples of a long list of models where numerical techniques have been applied.  
This Special Issue aims at collecting original and quality contributions in the most recent developments of numerical methods. In particular, we welcome submissions on:  
• Modeling and simulation of physical phenomena.  
• Design and analysis of numerical methods.  
• Implementation of numerical methods; reduction of the computational cost.


Keywords:
• Numerical Methods and Computational Mathematics
• Computer Algebra and Applications
• Initial and Boundary Value Problems
• Ordinary Differential Equations and their applications
• Partial Differential Equations and their applications
• Finite Difference and Finite Element methods
• Dynamical Systems


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 December 2024

Published Papers(12)

Research article
On assessing convergence and stability of a novel iterative method for fixed-point problems
Aftab Hussain Danish Ali Amer Hassan Albargi
2025, Volume 10, Issue 7: 15333-15357. doi: 10.3934/math.2025687
Abstract HTML PDF Viewed (199)
Research article
Schröder's method and the infinity point
Víctor Galilea José Manuel Gutiérrez
2025, Volume 10, Issue 6: 12919-12934. doi: 10.3934/math.2025581
Abstract HTML PDF Viewed (298)
Research article
Physics-informed neural network for the heat equation under imperfect contact conditions and its error analysis
Hansaem Oh Gwanghyun Jo
2025, Volume 10, Issue 4: 7920-7940. doi: 10.3934/math.2025364
Abstract HTML PDF Viewed (1020)
Research article
A numerical method using Legendre polynomials for solving two-point interface problems
Min Wu Jiali Zhou Chaoyue Guan Jing Niu
2025, Volume 10, Issue 4: 7891-7905. doi: 10.3934/math.2025362
Abstract HTML PDF Viewed (588)
Research article
The shift-based scaling and recursing algorithm for evaluating the action of the matrix φ-functions
Xianan Lu Dongping Li Zhixin Zhao
2025, Volume 10, Issue 2: 2854-2868. doi: 10.3934/math.2025133
Abstract HTML PDF Viewed (584)
Research article
Numerical study of soliton behavior of generalised Kuramoto-Sivashinsky type equations with Hermite splines
Abdul-Majeed Ayebire Saroj Sahani Priyanka Shelly Arora
2025, Volume 10, Issue 2: 2098-2130. doi: 10.3934/math.2025099
Abstract HTML PDF Viewed (609)
Research article
Solving fuzzy system of Fredholm integro-differential equations of the second kind by using homotopy analysis method
Zena Talal Yassin Waleed Al-Hayani Ali F. Jameel Ala Amourah Nidal Anakira
2025, Volume 10, Issue 1: 1704-1740. doi: 10.3934/math.2025078
Abstract HTML PDF Cited (1) Viewed (808)
Research article
Exploring fractional Advection-Dispersion equations with computational methods: Caputo operator and Mohand techniques
Azzh Saad Alshehry Humaira Yasmin Ali M. Mahnashi
2025, Volume 10, Issue 1: 234-269. doi: 10.3934/math.2025012
Abstract HTML PDF Viewed (835)
Research article
A novel class of fourth-order derivative-free iterative methods to obtain multiple zeros and their basins of attraction
Munish Kansal Vanita Sharma Litika Rani Lorentz Jäntschi
2024, Volume 9, Issue 12: 35823-35859. doi: 10.3934/math.20241699
Abstract HTML PDF Cited (1) Viewed (873)
Research article
An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms, part Ⅱ
Ram Shiromani Carmelo Clavero
2024, Volume 9, Issue 12: 35570-35598. doi: 10.3934/math.20241688
Abstract HTML PDF Viewed (815)
Research article
A new ADI-IIM scheme for solving two-dimensional wave equation with discontinuous coefficients
Ruitao Liu Wanshan Li
2024, Volume 9, Issue 11: 31180-31197. doi: 10.3934/math.20241503
Abstract HTML PDF Viewed (728)
Research article
A hybrid collocation method for the approximation of 2D time fractional diffusion-wave equation
Farman Ali Shah Kamran Zareen A Khan Fatima Azmi Nabil Mlaiki
2024, Volume 9, Issue 10: 27122-27149. doi: 10.3934/math.20241319
Abstract HTML PDF Cited (3) Viewed (1988)