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Advances in Continuous and Discrete Models

Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Featured Article: Kinetic theory without pain: an unpublished paper by Jean Ginibre

Featured here is a previously unpublished manuscript written by the late Jean Ginibre on Kinetic Theory from the mid 1960's. The manuscript has been scanned and published here as it survives in its original French.  Yves Pomeau, emeritus research director at the CNRS and corresponding member of the French Academy of sciences, has graciously provided a generous English summary of the manuscript as well as a concise contextualization of the content for when it was written. 

Featured Collection: New Mathematical Trends in the Study of Materials Behavior

This collection provides an up-to-date view of the broad research field of nonlinear PDEs and material science with an attention to modeling, analysis and computation of fluid and solid dynamics, elasticity, complex materials and environmental phenomena. The emergence of scale structures driven by nonlinearities constitutes a major challenge to understanding continuum physics deeply founded in the PDEs framework.

Giuseppe Mario Coclite, Professore Ordinario di Analisi Matematica at Politecnico di Bari in Italy, and Francesco Maddalena, Associate Professor of Mathematical Analysis at Politecnico di Bari in Italy, were our esteemed guest editors for this collection. 

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.

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 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 Hong Kong Center for Cerebro-cardiovascular Health Engineering (COCHE). 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. 


Articles Collections

Thematic series
New Mathematical Trends in the Study of Materials Behavior
Advances in Continuous and Discrete Models
Edited by Giuseppe Coclite (Polytechnic University of Bari, Italy) and Francesco Maddalena (Polytechnic University of Bari, Italy)
Collection: Closed

Thematic Series
Nonlinear Waves, Kinetic Theory, and Related Topics: A Tribute to the Memory of Jean Ginibre
Edited by: Tran Minh Binh (Texas A&M, USA)
Collection: Ongoing

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