ESAIM-Mathematical Modelling and Numerical Analysis

Scope & Guideline

Transforming Ideas into Numerical Realities

Introduction

Welcome to the ESAIM-Mathematical Modelling and Numerical Analysis information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of ESAIM-Mathematical Modelling and Numerical Analysis, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageMulti-Language
ISSN2822-7840
PublisherEDP SCIENCES S A
Support Open AccessNo
CountryFrance
TypeJournal
Convergefrom 1996 to 2024
AbbreviationESAIM-MATH MODEL NUM / ESAIM-Math. Model. Numer. Anal.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE

Aims and Scopes

ESAIM-Mathematical Modelling and Numerical Analysis focuses on the development and analysis of mathematical models and numerical methods for a wide range of applications in science and engineering. The journal aims to provide a platform for innovative methodologies that enhance the understanding of complex systems through mathematical formulations and computational techniques.
  1. Mathematical Modelling:
    The journal emphasizes mathematical modeling across various domains, including fluid dynamics, solid mechanics, and biological systems, showcasing how mathematical abstractions can represent real-world phenomena.
  2. Numerical Analysis:
    A core focus is on numerical methods for solving partial differential equations (PDEs) and other mathematical constructs, highlighting the development of new algorithms, techniques, and their convergence properties.
  3. Computational Techniques:
    Research on computational strategies, including finite element methods, discontinuous Galerkin methods, and hybrid approaches, is prevalent, aiming to improve accuracy and efficiency in simulations.
  4. Stochastic Processes and Modelling:
    The journal includes studies on stochastic models and their numerical approximations, emphasizing their application in areas like finance, physics, and biological systems.
  5. Error Analysis and Stability:
    A significant portion of the contributions focuses on error estimates, stability analysis, and adaptive methods, ensuring the reliability of numerical solutions in various contexts.
  6. Multiscale and Multiphysics Problems:
    The journal explores methodologies for addressing multiscale and multiphysics problems, integrating various physical processes and scales into coherent mathematical frameworks.
Recent publications in ESAIM-Mathematical Modelling and Numerical Analysis reveal several trending and emerging themes. These reflect the evolving landscape of mathematical modeling and numerical analysis, highlighting areas where innovative research is gaining traction.
  1. Advanced Discontinuous Galerkin Methods:
    There is an increasing interest in advanced discontinuous Galerkin methods, reflecting their versatility and effectiveness in handling complex PDEs, particularly in fluid dynamics and wave propagation.
  2. Data-Driven Approaches:
    Emerging methods focused on data assimilation and machine learning techniques are gaining prominence, enabling researchers to leverage data for improved model accuracy and predictive capabilities.
  3. Multiscale Modeling Techniques:
    Research on multiscale modeling is on the rise, emphasizing the need to integrate phenomena occurring at different scales, particularly in materials science and biological systems.
  4. Error Estimation and Adaptive Methods:
    The trend towards robust error estimation and adaptive numerical methods is evident, with researchers focusing on techniques that ensure accuracy while optimizing computational resources.
  5. Hybrid Numerical Approaches:
    The adoption of hybrid numerical methods that combine various techniques (e.g., finite element and finite volume) is increasingly popular, as these methods offer greater flexibility and improved performance in simulations.

Declining or Waning

While ESAIM-Mathematical Modelling and Numerical Analysis continues to thrive in many areas, certain themes appear to be declining in prominence. These waning scopes reflect shifts in research focus and emerging methodologies that address contemporary challenges more effectively.
  1. Traditional Analytical Methods:
    There is a noticeable reduction in papers focusing solely on traditional analytical solutions for PDEs, as researchers increasingly prefer numerical approaches that can handle complex, nonlinear systems.
  2. Basic Finite Difference Methods:
    The journal has seen fewer contributions centered on basic finite difference methods, likely due to the rise of more sophisticated numerical techniques like discontinuous Galerkin and spectral methods.
  3. Static Models:
    Research on static mathematical models is becoming less frequent, as the focus shifts towards dynamic and time-dependent models that better capture real-world phenomena.
  4. Simplistic Stochastic Approaches:
    There is a decline in simplistic stochastic modeling approaches, with a growing emphasis on more comprehensive stochastic frameworks that incorporate complex dependencies and interactions.

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