Special Issue – ICRTMS-2025
Title: Current Developments in Mathematical Analysis and its Applications “Dedicated to Late Prof. P. L. Sharma”.
Guest Editors
Dr. Shalini Gupta, Associate Professor, Department of Mathematics, Himachal Pradesh University, Shimla, India.
Dr. Kamalendra Kumar, Associate Professor, Department of Basic Science, Shri Ram Murti Smarak College of Engineering & Technology, Bareilly, India.
Dr. Nikhil Khanna, Professor, Department of Mathematics, College of Science, Sultan Qaboos University, Oman.
Dr. Neetu Dhiman, Assistant Professor, University Institute of Technology (UIT), HPU, Shimla, India.
Description: This special issue highlights the role of mathematics in solving real-world problems across a wide range of fields such as how populations grow, how diseases spread, or how natural systems work. These foundational ideas are applied in many areas, from science to economics, to help explain patterns and make predictions.
Mathematical Analysis is the study of functions, limits, and change, focusing on how we can describe and solve problems involving these concepts. It provides the foundation for advanced topics like differential equations (ODE, PDE and Difference Equations), helping us model real-world phenomena such as motion and heat transfer. This field is essential for understanding complex systems, optimizing processes, and developing algorithms in areas like engineering, physics, and economics.
An integral transform is a powerful tool for solving various types of differential equations, physics, engineering and even data analysis.
Mathematical analysis and dynamical systems theory are intertwined. Mathematical analysis provides the tools to analyze the behavior of dynamical systems, such as Controllability, bifurcation theory, stability analysis, and the study of attractors and chaos.
The study of wavelets helps break down complicated data, like sound or images, into smaller, manageable parts. This process is widely used in technology for things like compressing music, images, and videos, making it easier to store and transmit information. Similarly, transforming data, such as converting signals into simpler forms (like turning audio into waves), helps make complex problems easier to analyze and solve, playing a major role in communications technology, including phone calls, radio, and internet data.
Another area, frame theory, helps organize and preserve data, ensuring no important details are lost when working with large amounts of information. This is especially important in fields like signal processing and image analysis. Mathematical models also provide powerful tools for predicting real-world outcomes, from forecasting the spread of diseases to planning efficient city traffic systems. Lastly, approximation methods simplify complex problems, helping build better technology, such as more realistic computer graphics and faster, more efficient algorithms.
One of the key areas covered is computational methods, which use computers to approximate solutions to complex problems. These methods are essential in fields like weather forecasting, engineering simulations, and other scientific research where exact solutions are hard to find. Equations, both simple and complex, are used to model real-world phenomena, such as how fluids move or how systems behave over time. These models are fundamental in designing everything from transportation systems to new medical treatments.
Potential topics of interest include, but are not limited to:
Real, Complex and Functional Analysis
Numerical Analysis and Applications
Differential Equations and Applications (ODE & PDE)
Wavelet Theory
Operator Theory
Integral Transform
Frame Theory
Nonlinear Analysis
Fourier Analysis
Approximation Theory
Integral Transform
Fixed Point Theory
Harmonic Analysis
Measure Theory
Stability Theory
Dynamical systems
Calculus of variations
Control and optimization
Applications of Mathematical Analysis in various fields of Physics, Engineering, Biology, Computer Science, Signal Processing, Image Processing, etc.
Note: All manuscript (Original) will be subject to the Journal (PJAA) standard peer-review process. Submission should be as per the author guidelines of Poincare Journal of Analysis and Applications.
Deadline for Manuscript Submission: 10th July, 2025
Date of acceptance: 31th October, 2025
Date of publication: 15th December, 2025
Status: Open
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Special Issue ICMAGI-4: Mathematical analysis, generalized integration, and their applications
Call for papers
This Issue is now open for submissions.
Papers will be published upon acceptance through peer review only.
In mathematics, one always tries to look for new ideas or generalizations of well-founded concepts. This process results in opposing forces: on the one hand, the classical ideal of precision and rigorous proof; on the other hand, the applications and the relationship with physical reality generate a veritable explosion of intuitive conjectures based on the power of formal procedure. These memories of the event intend to show, in concrete cases, the process that occurs when doing mathematics. Integration theory had an important development in the last half century. Thereby, with the introduction of new integration theories, the possibility to extend fundamental results arises, allowing new and better numerical approaches. This opens up the possibility of considering a strictly larger class of functions where some calculus remains valid. In particular, generalized integration allows for the representation of Fourier transform operators and other mathematical objects. Fourier analysis included, from its beginnings, the creation of new forms and theories. The remarkable thing about this is that it turns out to have implications not only for the new space of functions considered but also for some classical spaces. From a digital aspect, most of the real-world applications in the fields of approximation theory, signal processing, image processing, scientific computing, numerical analysis, statistics, and other mathematical fields can be reduced to two major problems: one is function representation, while the other is its reconstruction. Both of these problems are strictly linked to the synthesis and analysis of functions. It is found that the resolution to these problems has been given by the Fourier transform. In the recent past, wavelets have also established themselves as one of the sources for producing robust and flexible solutions to the above problems. The continuing progress of wavelets and their generalizations is primarily due to their flexibility in the time-frequency analysis of a signal.
Potential topics include but are not limited to:
Approximation theory
Fourier analysis
Wavelet analysis
Generalized integration
Operator theory
Frame Theory
Sampling and reconstruction
Integral Transform
Signal, image, and data analysis and processing
Publishing date: 31 March 2025
Status: Open
Submission deadline: 15 January 2025
Guest Editors
Francisco J. Mendoza (Benemérita Universidad Autónoma de Puebla, Mexico)
Nikhil Khanna (Sultan Qaboos University, Oman)
Juan H. Arredondo (Universidad Autónoma Metropolitana-I, Mexico)
Sumit Kumar Sharma (University of Delhi, India)
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Special Issue on
Advanced Computational techniques and Mathematical Modelling
Guest Editors
Dr. Geeta Arora, Professor, Department of Mathematics, Lovely Professional University, Punjab, India
Dr Firdous A. Shah, Associate Professor, Department of Mathematics, University of Kashmir, South Campus, Anantnag, Jammu and Kashmir, India.
Dr. Mamta Kapoor, Associate Professor, Department of Mathematics, Lovely Professional University, Punjab, India
Poincare Journal of Analysis and Applications invites submissions for a special issue that compiles recent state-of-the-art research and innovation in the area of advanced computational techniques and mathematical modelling. Researchers from numerous fields can contribute to this thematic issue, showcasing the newest advances and their potential impact on various topics.
This special issue includes papers on computational mathematics, mathematical modelling, numerical methods, optimization, and simulation. It examines how mathematical models and simulations help solve problems in physics, engineering, biology, economics, environmental sciences, social sciences, and computer science. This special issue provides academics, practitioners, and graduate students with the latest mathematical modelling and simulation advances. This special issue may inspire innovation, optimize processes, improve decision-making, and illuminate complex systems across domains.
Topics of interest include, but are not limited to:
- Numerical techniques
- Semi-analytical approximations
- Wavelets theory
- Approximation and expansions
- Integral Transform based techniques
- Simulation of various Mathematical Models
- Finite element methods
- Monte Carlo methods
- Machine Learning in Mathematical modelling
- Symbolic computation
- Optimization algorithm
- Quantum Computing in mathematical modelling
- Epidemiological modelling
- Population Dynamics modelling
- Climate modelling
- Financial modelling
- Mathematical Modelling for Food Security and Sustainable Agriculture
- Economic Modelling for Sustainable Development and Poverty Alleviation
- Mathematical Modelling of Food Prices and Market Dynamics
All submissions will be subject to the journal’s standard peer-review process. Submissions should be prepared and submitted according to the guidelines provided by the Poincare Journal of Analysis and Applications
Deadline for Manuscript Submission: 15th November, 2024
Notification of Decision: 15th Jan, 2025
Status: Open
Date of Publication of the issue: March, 2025
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Earlier Special Issues
Special Issue on
Harmonic Analysis, Image Processing and Integral Transforms
(To commemorate the 65th birthday of Professor Akram Aldroubi)
Guest Editors
Professor Michael Unser, Lead Guest Editor, EPFL’s Center for Imaging, Lausanne, Switzerland
Professor Javad Mashreghi, Laval University, Canada
Dr. Firdous Ahmad Shah, University of Kashmir, South Campus, Anantnag, India.
Dr. Nikhil Khanna, Sultan Qaboos University, Oman
Poincare Journal of Analysis and Applications invites submissions for a special issue in honor of Akram Aldroubi’s 65th birthday. Professor Aldroubi is a renowned mathematician in the field of modern harmonic analysis and its applications, and this special issue will celebrate his contributions to the field.
We welcome submissions of original research articles, as well as survey and expository articles, that are related to any area of harmonic analysis and its applications. Topics of interest include, but are not limited to:
- Frame theory
- Sampling and reconstruction
- Wavelets and multiscale analysis
- Time-frequency analysis
- Compressive sensing
- Inverse problems
- Approximation and expansions
- Integral Transform
- Operator and functional analytic methods for data analysis
- Signal, image, and data analysis and processing
- Control theory methods in data science
- Applications of harmonic analysis to biomedicine
All submissions will be subject to the journal’s standard peer-review process. Submissions should be prepared and submitted according to the guidelines provided by the Poincare Journal of Analysis and Applications
https://www.pjaa.poincarepublishers.com/
Deadline for Manuscript Submission: 15th October, 2023
Status: Open
Date of Publication of the issue: 31th December, 2023
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