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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.

Description

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:               28 February 2025

Status:                                Open

Submission deadline:      15 December 2024

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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