Applied Numerical Mathematics
Scope & Guideline
Shaping the Future of Numerical Analysis, One Article at a Time.
Introduction
Aims and Scopes
- Numerical Methods for Differential Equations:
The journal extensively covers numerical methods for both ordinary and partial differential equations, including implicit and explicit schemes, finite element methods, and spectral methods, with a focus on stability and convergence. - Stochastic and Random Processes:
There is a significant emphasis on the numerical analysis of stochastic differential equations and their applications in fields such as finance, biology, and physics, highlighting techniques for handling randomness and uncertainty. - Fractional Calculus and Integro-Differential Equations:
The journal features research on fractional calculus, including numerical methods for fractional differential equations and integro-differential equations, reflecting the growing interest in non-integer order derivatives. - Computational Methods for Complex Systems:
Research articles often address computational techniques for simulating complex physical systems, such as fluid dynamics, heat transfer, and biological processes, utilizing methods like multi-scale modeling and adaptive mesh refinement. - Error Analysis and Algorithm Development:
The journal emphasizes rigorous error analysis of numerical algorithms, promoting the development of new methods that improve accuracy and efficiency in computational tasks. - Applications in Engineering and Science:
Applied Numerical Mathematics publishes studies that apply numerical methods to real-world problems in engineering, physics, and other scientific disciplines, demonstrating the practical relevance of theoretical developments.
Trending and Emerging
- Machine Learning and Data-Driven Methods:
There is an increasing trend towards integrating machine learning techniques into numerical methods, particularly in optimization, data analysis, and solving differential equations. - Multiscale and Multiphysics Problems:
Research focusing on multiscale and multiphysics problems is gaining traction, driven by the need to model complex interactions in physical systems, as seen in applications like fluid-structure interactions and biological processes. - Adaptive and High-Order Methods:
Emerging methods that emphasize adaptivity and high-order accuracy are becoming more prevalent, allowing for more efficient computations in complex domains and improving the accuracy of numerical solutions. - Numerical Techniques for Fractional Differential Equations:
There is a growing interest in numerical methods specifically designed for fractional differential equations, reflecting their increasing importance in modeling real-world phenomena. - Stochastic Modeling and Uncertainty Quantification:
The application of numerical methods to stochastic models and uncertainty quantification is trending, showcasing a shift towards addressing randomness and variability in mathematical modeling.
Declining or Waning
- Traditional Numerical Linear Algebra:
The focus on classical topics in numerical linear algebra has waned, as researchers increasingly explore more specialized or advanced techniques, such as tensor methods and machine learning approaches in numerical computations. - Basic Finite Difference Methods:
There appears to be a decrease in the number of papers dedicated to basic finite difference methods, as the field moves towards more sophisticated approaches such as high-order and adaptive methods. - Low-Dimensional and Simplistic Models:
Research on low-dimensional models or simplistic approaches to numerical problems has decreased, with a growing emphasis on complex and multi-dimensional systems that require more advanced numerical techniques.
Similar Journals
Communications on Applied Mathematics and Computation
Advancing the Frontiers of Applied Mathematics and ComputationCommunications on Applied Mathematics and Computation is a distinguished journal published by SpringerNature, dedicated to advancing the fields of Applied Mathematics and Computational Mathematics. With its ISSN 2096-6385 and E-ISSN 2661-8893, the journal has established itself as a critical platform for researchers seeking to disseminate their findings and engage with contemporary mathematical challenges. Recognized in the Q2 quartile of both Applied Mathematics and Computational Mathematics categories for 2023, it ranks impressively within its field, holding the 278th position in a pool of 635 journals for Applied Mathematics and the 89th out of 189 for Computational Mathematics, indicative of its scholarly impact. The journal facilitates open access to a plethora of pioneering research, promoting collaboration and innovation in a global academic community. With a commitment to high-quality publications from 2019 through 2024, Communications on Applied Mathematics and Computation serves as an essential resource for scholars and practitioners aiming to bridge theory and practical applications in mathematics.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Pioneering new methodologies in numerical analysis since 1985.Numerical Methods for Partial Differential Equations is a prestigious academic journal published by Wiley, dedicated to advancing the field of numerical analysis and computational mathematics. With a prominent standing reflected in its Q1 rankings across multiple categories including Analysis, Applied Mathematics, Computational Mathematics, and Numerical Analysis, this journal serves as a vital resource for researchers, professionals, and students alike. Since its inception in 1985, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS has consistently published high-quality, peer-reviewed articles that explore innovative numerical techniques and their applications across disciplines. The journal is indexed in leading databases, ensuring broad visibility and access for its contributors. Aimed at fostering cutting-edge research, it invites submissions that provide new insights and methodologies for solving complex partial differential equations, making it an essential source for anyone interested in the intricacies of mathematical analysis and computational techniques.
CALCOLO
Exploring the Depths of Algebra and Number TheoryCALCOLO is a prestigious academic journal published by Springer-Verlag Italia SRL, focusing on the fields of Algebra, Number Theory, and Computational Mathematics. Established in 1964, this journal has made significant contributions to advancing mathematical theory and applications. It holds a commendable Impact Factor and ranks in the Q1 quartile for Algebra and Number Theory, underscoring its importance and influence in the field. With a Scopus Rank of #17 out of 119 in Algebra and Number Theory, CALCOLO is recognized for publishing high-quality research that propels the discipline forward. Researchers and professionals in the mathematical community will find CALCOLO an essential resource, providing access to pioneering studies and fostering collaborations. While the journal currently does not offer an open access option, it continues to engage with emerging topics and innovative methodologies, ensuring it remains at the forefront of mathematical research through 2024 and beyond.
Applied Mathematics Letters
Bridging Theory and Practice in Applied MathematicsApplied Mathematics Letters is a prestigious journal dedicated to the dissemination of significant research in the field of applied mathematics. Published by PERGAMON-ELSEVIER SCIENCE LTD in the United Kingdom, this journal serves as a vital resource for researchers, professionals, and students alike, aiming to bridge theoretical findings and practical applications. With an impressive impact factor placing it in the Q1 category and ranked 33 out of 635 in the Applied Mathematics category by Scopus, it showcases influential articles that contribute to advancements across various applications of mathematics. The journal's coverage from 1988 to 2025 ensures a rich archive of research that remains relevant and insightful for contemporary studies. Currently, it operates under a subscription-based model, providing access to cutting-edge research that forms the backbone of mathematical application in science and engineering. To become part of this dynamic community of scholars, readers are encouraged to explore the latest findings and ongoing discussions that highlight the interplay between mathematics and its real-world impacts.
Analysis and Applications
Advancing Knowledge Through Interdisciplinary InsightsAnalysis and Applications is a prestigious academic journal dedicated to the interdisciplinary exploration of analysis and applied mathematics. Published by WORLD SCIENTIFIC PUBL CO PTE LTD and based in Singapore, this journal serves as a vital resource for researchers, professionals, and students engaged in mathematical investigations that extend theoretical concepts into practical applications. With an impressive Impact Factor reflective of its esteemed reputation, it currently ranks in Q1 across both Analysis and Applied Mathematics categories, showcasing its relevance in advancing knowledge within these fields. The journal's commitment to high-quality scholarly articles is underlined by its excellent performance in Scopus rankings, placing it in the top percentiles of mathematics disciplines. Analysis and Applications invites contributions that not only deepen theoretical frameworks but also translate findings into applicable methodologies, ultimately fostering innovation and progress in mathematical sciences. For those seeking a gateway into cutting-edge research and developments, this journal is a crucial platform to engage with the latest insights and collaborative opportunities.
Complex Variables and Elliptic Equations
Advancing Insights in Complex Variables and Elliptic EquationsComplex Variables and Elliptic Equations is a distinguished academic journal published by TAYLOR & FRANCIS LTD, focused on the intricate interplay between complex variables and elliptic equations. With an ISSN of 1747-6933 and an E-ISSN of 1747-6941, this journal serves as a vital platform for researchers and practitioners in the fields of Analysis, Applied Mathematics, Computational Mathematics, and Numerical Analysis. With a publishing history spanning from 2007 to 2024, the journal is recognized for its substantial contributions, as evidenced by its Q2 ranking in Applied Mathematics and Numerical Analysis, and Q3 in Analysis and Computational Mathematics for 2023. Notably, it occupies various Scopus ranks that reflect its ongoing academic relevance—ranked #86 in Mathematics Analysis and #49 in Numerical Analysis. While it does not currently operate under an open-access model, the journal remains an indispensable resource for advancing mathematical theory and its practical applications. Researchers, students, and professionals alike will find invaluable insights and developments that push the boundaries of mathematical inquiry.
AIMS Mathematics
Fostering collaboration in the pursuit of mathematical excellence.AIMS Mathematics, published by the American Institute of Mathematical Sciences (AIMS), is a premier open-access journal that has been providing a platform for innovative research since its inception in 2016. With a keen focus on diverse areas within the field of mathematics, this journal aims to disseminate high-quality studies that cater to both theoretical and applied aspects of mathematics. As evidenced by its impressive Scopus rank of 52 out of 399 in the category of General Mathematics, placing it in the 87th percentile, AIMS Mathematics stands as a significant contributor to the academic discourse in this discipline. The journal operates under Q2 in Mathematics (miscellaneous) for its 2023 category quartiles, reflecting its rigorous peer-reviewed process and substantial impact on current mathematical research. Accessible since its launch, the journal's open-access model ensures that researchers, professionals, and students alike can easily retrieve insights and advancements in mathematics, fostering collaboration and the advancement of knowledge globally.
Bulletin of the Karaganda University-Mathematics
Championing Excellence in Mathematical ScholarshipBulletin of the Karaganda University-Mathematics is a distinguished journal dedicated to the exploration and dissemination of research in the field of mathematics. Published by KARAGANDA STATE UNIVERSITY in Kazakhstan, this Open Access journal has been promoting the accessibility of scientific knowledge since 2010. With an ISSN of 2518-7929, the journal aims to provide a platform for innovative ideas and developments across various mathematical disciplines. Recognized for its quality, it has achieved a Q3 ranking in the Mathematics (miscellaneous) category for 2023 and is currently positioned at the 46th percentile within Scopus rankings, demonstrating its relevance and contribution to the academic community. The bulletin encourages submissions that enrich theoretical and applied mathematics and is an essential resource for researchers, professionals, and students looking to enhance their understanding and application of mathematical concepts. Addressed from 38 GOGOL STR, KARAGANDA 100012, KAZAKHSTAN, the journal not only represents the academic excellence of its home institution but also aims to foster international collaboration and knowledge exchange.
ESAIM-Mathematical Modelling and Numerical Analysis
Unraveling Complexities with Mathematical ClarityESAIM-Mathematical Modelling and Numerical Analysis, published by EDP SCIENCES S A, is a prestigious open-access journal at the forefront of the fields of mathematical analysis, applied mathematics, computational mathematics, modeling, simulation, and numerical analysis. With an impressive Q1 ranking in multiple categories for 2023, the journal is recognized for its contribution to advanced research, particularly in areas that intertwine mathematical theory with practical applications. The journal’s ISSN is 2822-7840 and its E-ISSN is 2804-7214, showcasing its commitment to both traditional and digital dissemination of knowledge. Spanning from 1996 to 2024, ESAIM has established itself as a vital platform for scholars seeking to publish innovative research and engage with the latest advancements in the field. Researchers and practitioners can explore the journal’s content through various access options, fostering a collaborative environment for the sharing and development of new mathematical methodologies. Situated in France, ESAIM continues to attract an international readership, driving forward the global discourse in mathematical sciences.
IMA JOURNAL OF NUMERICAL ANALYSIS
Transforming Ideas into Numerical SolutionsIMA Journal of Numerical Analysis, published by Oxford University Press, stands as a premier platform for cutting-edge research in the field of numerical analysis, exemplifying the latest advancements and methodologies in applied, computational, and general mathematics. Since its inception in 1981, this esteemed journal has continually contributed to the academic community by publishing high-quality, peer-reviewed articles that foster innovation and collaboration among researchers. With an impressive Q1 ranking across multiple categories, including Applied Mathematics and Computational Mathematics, it plays a crucial role in disseminating knowledge, as indicated by its Scopus rankings which place it in the top 25% of journals within its field. Although the journal is not open access, it remains a vital resource for academics, professionals, and students eager to engage with the ongoing evolution of numerical methods. By serving as a conduit for novel ideas and rigorous research, the IMA Journal of Numerical Analysis ensures that its contributors and readers are at the forefront of this dynamic discipline.