We are pleased to announce the winner of the first edition of the Best Paper Award in Advances in Continuous and Discrete Models: Professor Avy Soffer, for his article, A new paradigm for scattering theory of linear and nonlinear waves: review and open problems. This notable and comprehensive review article explores the recent advancements in scattering theory, providing a unified approach to studying dispersive and hyperbolic equations with general interaction terms and data. Professor Avy Soffer is a Distinguished Professor in the Mathematics Department at Rutgers University, United States. He has made significant contributions in the field of mathematical physics and partial differential equations and has received a number of awards and prizes recognising this, including the Avraham Cohen Fellowship in Physics (1982), the Alfred P. Sloan Fellowship in Mathematics (1988–1989), and the Rutgers Research Council Grant Awards in 1996 and 2006. He was also awarded the Weston Fellowship at the Weizmann Institute (2007–2008) and named a Fellow of the American Mathematical Society in 2015. His research topics cover quantum and tunneling dynamics, and scattering, spectral theory and resonances, dispersive wave equations, linear and nonlinear, soliton dynamics, and scattering on manifolds. Congratulations!
Best Paper Award 2024
Feature Collection: Biomathematical Modelling and Stochastic Analysis
Advances in Continuous and Discrete Models is calling for submissions to our Collection on Biomathematical Modelling and Stochastic Analysis. This thematic series focuses on biomathematical modeling and its associated analysis for interacting populations and significant epidemic diseases.
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 as well as 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. To see full descriptions of each journal section, please click through the link in the Aims and Scope title or go to the 'About' section in the top banner.
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
Articles
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Modeling oncolytic virus therapy with distributed delay and nonlocal diffusion
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The propagation dynamics of UAU-SEPIR in two-layered networks
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Complex bifurcation phenomena seized in a discrete ratio-dependent Holling-Tanner predator-prey system
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Ergodicity of a stationary distribution for a stochastic cholera model with a general functional response and higher-order perturbation
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Birth, growth and computation of pi to ten trillion digits
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On some classes of difference equations of infinite order
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Numerical methods for simulation of stochastic differential equations
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Fractional complex transforms for fractional differential equations
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Estimation of parameters in a structured SIR model
Articles Collections
Thematic Series
Nonlocality in hyperbolic PDEs
Advances in Continuous and Discrete Models
Edited by Felisia Angela Chiarello (University of L'Aquila, Italy),
Lukas Pflug (FAU Erlangen-Nürnberg, Germany),
Alexander Keimer (FAU Erlangen-Nürnberg, Germany)
Submission deadline: 31 July 2025
Thematic Series
Artificial Intelligence and Machine Learning in Imaging Science
Advances in Continuous and Discrete Models
Edited by Michael Ng (Hong Kong Baptist University, China), Stacey Levine (Duquesne University, USA) and Xue-Cheng Tai [Norwegian Research Center (NORCE), Norway]
Submission deadline: 31 May 2024
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
Annual Journal Metrics
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Citation Impact 2023
Journal Impact Factor: 3.1
5-year Journal Impact Factor: 2.3
Source Normalized Impact per Paper (SNIP): 1.007
SCImago Journal Rank (SJR): 0.504
Speed 2023
Submission to first editorial decision (median days): 18
Submission to acceptance (median days): 206
Usage 2023
Downloads: 880,067
Altmetric mentions: 10
- ISSN: 2731-4235 (electronic)