Advances in Continuous and Discrete Models

Announcement: New title "Advances in Continuous and Discrete Models: Theory and Modern Applications"

Along with the new title, the journal now accepts a broader range of high-quality original research and survey articles covering algorithmic and analytical developments in numerical analysis, differential equations, control, optimization, data driven modelling and scientific computing. Submissions connecting mathematical research to applications such as signal and image processing, mathematical biology and bioengineering, material science, and computer vision will also be considered.

This title change marks a new exciting chapter for the journal and with the expanded aims and scope we also welcome a new editorial board led by Editors-in-Chief Prof. Harbir Antil (George Mason University, Virginia), Prof. Xue-Cheng Tai (Hong Kong Baptist University, Hong Kong), and Prof. Enrique Zuazua (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany).

Aims and scope

Computational and applied mathematics along with data science play a vital role in contemporary society by driving innovation. This success can be attributed to revolutionary theoretical and algorithmic developments in machine learning, data driven modeling, differential equations, numerical analysis, scientific computing, control, optimization, and computing resources together with new tools to deal with uncertainty and randomness.

This journal encourages new research in these broad areas. In addition to research on algorithmic and analytical developments, the journal also encourages papers related to (but not limited to) broad applications in Signal and Image Processing, Computer Vision, Materials Science, Mathematical Biology and Bioengineering. As a result, the journal will be an excellent connecting bridge between mathematical research and real world applications.

The journal accepts high-quality articles containing original research results and survey articles of exceptional merit.

Meet the New Editors-in-Chief

Harbir Antil is Founder and Director at the Center for Mathematics and Artificial Intelligence as well as a Professor in the Department of Mathematical Sciences at George Mason University in Virginia, USA. His research interests include calculus of variations, inverse problems, numerical analysis, scientific computing and software development, and dimensional reduction.
Recent Publications

Xue-Cheng Tai is a professor at the Department of Mathematics at Hong Kong Baptist University. His research interests include numerical PDEs, optimization techniques, inverse problems, and image processing.
Recent Publications

Enrique Zuazua is Chair for Dynamics, Control and Numerics in the Department of Data Science at Friedric-Alexander Universität in Germany. his fields of expertise include PDEs, Control Theory, and Numerical Analysis.
Recent Publications

Click here to view the new editorial board for Advances in Continuous and Discrete Models: Theory and Applications.

Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks

Authors: Zakieh Avazzadeh, Omid Nikan, José Tenreiro Machado and Mohammad Navaz Rasoulizadeh

Content type: Research 28 June 2022
Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

Authors: Jiangyan Yao, Sen Ming and Xiongmei Fan

Content type: Research 28 June 2022
Graphical structure of double controlled metric-like spaces with an application

Authors: Hasanen A. Hammad, Hassen Aydi and Manuel De la Sen

Content type: Research 17 June 2022
Error estimation using neural network technique for solving ordinary differential equations

Authors: Haewon Nam, Kyung Ryeol Baek and Sunyoung Bu

Content type: Research 15 June 2022
Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane

Authors: Amel Berhail, Nora Tabouche, Jehad Alzabut and Mohammad Esmael Samei

Content type: Research 11 June 2022

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On some classes of difference equations of infinite order

Authors: Alexander V Vasilyev and Vladimir B Vasilyev

Content type: Research 10 July 2015
Birth, growth and computation of pi to ten trillion digits

Authors: Ravi P Agarwal, Hans Agarwal and Syamal K Sen

Content type: Research 11 April 2013
Fractional complex transforms for fractional differential equations

Authors: Rabha W Ibrahim

Content type: Research 6 November 2012
Estimation of parameters in a structured SIR model

Authors: Begoña Cantó, Carmen Coll and Elena Sánchez

Content type: Research 27 January 2017
Exponential stability of fractional stochastic differential equations with distributed delay

Authors: Li Tan

Content type: Research 18 December 2014

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Articles Collections

Thematic series
Mathematical Models of Infectious Diseases
Advances in Difference Equations
Edited by: Abdon Atangana, Muhammad Altaf Khan, Jose Francisco Gomez Aguila, Dumitru Baleanu, Emile Franc Doungmo Goufo, Abdullahi Yusuf
Collection published: Ongoing

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Thematic Series in "Advances in Difference Equations"

Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations
Deadline for submission: 31 August 2021

Difference Equations, Special Functions and Orthogonal Polynomials
Deadline for submission: 31 August 2021

Call for Papers: Expanded scope for Advances in Continuous and Discrete Models

Advances in Continuous and Discrete Models: Theory and Modern Applications now accepts a broader range of high-quality original research and survey articles covering algorithmic and analytical developments in numerical analysis, differential equations, control, optimization, data driven modelling and scientific computing. We are also considering submissions connecting mathematical research to applications such as signal and image processing, mathematical biology and bioengineering, material science, and computer vision.

Advances in Continuous and Discrete Models

Announcement: New title "Advances in Continuous and Discrete Models: Theory and Modern Applications"

Aims and scope

Meet the New Editors-in-Chief

Articles

Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks

Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

Graphical structure of double controlled metric-like spaces with an application

Error estimation using neural network technique for solving ordinary differential equations

Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane

On some classes of difference equations of infinite order

Birth, growth and computation of pi to ten trillion digits

Fractional complex transforms for fractional differential equations

Estimation of parameters in a structured SIR model

Exponential stability of fractional stochastic differential equations with distributed delay

Articles Collections

Thematic Series in "Advances in Difference Equations"

Call for Papers: Expanded scope for Advances in Continuous and Discrete Models

Annual Journal Metrics

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