Applied mathematics bears many connections to various other fields within academic and professional life. Consequently, it’s essential to stay up-to-speed on the most recent theoretical and practical developments. Advancements in applied mathematics can affect everything from pharmaceutical research and development to implementation of new military systems. Students, academics, and professionals studying and practicing within various fields under the applied mathematics umbrella might find their heads spinning when exploring the field’s plethora of journal options. But never fear – when it comes to staying abreast of new research, trends, and developments, the following list provides a comprehensive summary of some of the most rigorous publications available from scholars across the world.

So, whether you’re looking to further your professional knowledge or conduct and submit your original research, the list below can help you get started. In addition, and for extra thoroughness, more information can be found by visiting each publication’s website.

## Introduction to Applied Mathematics Journals

The abundance of academic journals gives modern students, researchers, and professionals a world of information at their fingertips. Of course, there are other information sources out there, but they don’t adhere to the same high standards that journals do. Journals follow strict methods and receive a review from peers that ensure their trustworthiness. They are written by and for researchers and scholars focusing on advancements and rigorous protocol, helping each research area make small steps towards a better future.

These journals can be more challenging to navigate than average magazines and books because of their technical nature. They often hyper-focus on particular topics, for only a small portion of the research community is commonplace. Accessing them is also more challenging and may even require subscription fees or membership with an academic institution. For these reasons, it’s best to look around and find the best fits for you, so you can focus your efforts on the specific areas of research that interest you most.

### Material and Topics of Journals

Modern applied mathematics is a broad field that interacts with many other disciplines. This interaction can lead to incredible new insights and solve real-world problems that don’t concern other math areas. The field uses many tools such as scientific computing, mathematics modeling, and analysis. With these tools, the primary goal of applied math is to contribute to other practical disciplines. This distinction is crucial between applied and non-applied math, which looks more at purely mathematical (and often very abstract) problems.

The research method in applied math starts not with such pure math problems, but rather with a general question that may find a solution through mathematical analysis. Researchers then use math models to describe the features of the problem. They follow this with analysis and computational methods to solve the model and derive insight into the original question. Take a look at some of the articles published by the below journals to understand this methodology.

## Journal of Computational and Applied Mathematics

The *Journal of Computational and Applied Mathematics* explores both applied and computational topics of special interest. Thus, its target audience includes analysts, computational scientists, applied mathematicians, and engineers. The journal prides itself on its high scientific value in articles that analyze and describe innovative computational techniques for solving engineering or scientific problems.

Led by editors Y. Efendiev, T. Mitsui, M. Ng, F. Tank, and L. Wuytack, the journal boasts an additional 39 academics as part of its editorial board. Furthermore, recently accepted articles include the likes of “A Multiscale Method for Model Order Reduction in PDE Parameter Estimation,” “On the Nonbacktracking Centrality for Complex Networks: Existence and Limit Cases,” and “Tractability Properties of the Weighted Star Discrepancy of the Halton Sequence.”

The journal supports open access, meaning that all published selections have unrestricted access and will remain free to access and even download 48 months after publication.

For more information, visit the *Journal of Computational and Applied Mathematics*.

## Applied Mathematics and Computation

*Applied Mathematics and Computation* addresses interactions among various categories, including numerical computation, applied mathematics, and meaningful application of system-oriented concepts to the biological, physical, social, and behavioral sciences. It also favors papers that focus on new algorithms (their analysis and results) and review articles and single-topic issues.

Theodore Simos serves as editor, supported by 86 additional editors and scholars. For instance, some of the journal’s most popular recent articles have included “Human Motion Classification Using 2D Stick-Model Matching Regression Coefficients,” “Substitution Box Generation Using Chaos: An Image Encryption Application,” and “A Comparative Study of Artificial Bee Colony Algorithm.”

In addition, this journal supports open access, so its articles are freely available to both subscribers and the wider public with permitted reuse. See the *Journal for Applied Mathematics and Computation* for more.

## SIAM Journal on Applied Mathematics

*SIAM Journal on Applied Mathematics* is an interdisciplinary journal that presents significant scientific problems addressed through methods that are of interest to the mathematical community. Thus, specific techniques of interest may include bifurcation theory, computational methods, asymptotic methods, complex network theory, dynamical systems theory, and probabilistic and statistical methods. First appearing in 1953, SJAP is the founding journal of the Society for Industrial and Applied Mathematics.

Paul A. Martin serves as editor-in-chief, working in partnership with two section editors and 33 additional associate editors. Articles like “Dynamics of Localized Unimodal Patterns in Reaction-Diffusion Systems for Cell Polarization by Extracellular Signaling,” “Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation,” and “Approximately Axisymmetric Antidynamo Theorems” present a cross-section of the types of content to expect.

Furthermore, this journal is available via subscription to individuals, corporations, or educational institutions. More information is available at SIAM Journal on Applied Mathematics.

## Discrete Applied Mathematics

*Discrete Applied Mathematics* exists to curate research articles in various areas of algorithmic and applicable discrete mathematics and explore how best to apply combinatorial mathematics to multiple technology areas, including informatics. Consequently, selected journal contributions can include everything from research papers and short notes to surveys and even research problems.

In addition, this journal supports open access. Its editor-in-chief is Endre Boros of Rutgers University, who is augmented by 60 additional editorial board members. Furthermore, examples of recently accepted articles include the likes of “Linear Read-once and Related Boolean Functions,” “Game Total Domination Critical Graphs,” and “New Inequalities for Network Distance Measures by Using Graph Spectra.”

For more information, visit Discrete Applied Mathematics.

## Advances in Applied Mathematics

*Advances in Applied Mathematics* is committed to disseminating original and survey articles on rigorous methods and results within applied mathematics.

As a result, the journal features articles on a wide variety of mathematical subjects, including convexity theory, discrete probability theory, mathematical biology and bioinformatics, and a host of additional areas of interest to the mathematical community.

Additionally, the journal supports open access and is edited by Joseph P.F. Kung, Catherine Yan, and Henry Schenck, with support from the 28-member editorial board. Recent examples of articles the group has accepted include “The Perception of Randomness,” “On Linear Matrix Differential Equations,” and “Multiple Solutions of DNA Restriction Mapping Problems.”

For more information, see Advances in Applied Mathematics.

## IMA Journal of Applied Mathematics

The *IMA Journal of Applied Mathematics* evolved from the *Journal of the Institute of Mathematics and its Applications,* started in 1965. This cross-disciplinary publication typically selects articles that marry the concepts of mathematics to engineering and the physical sciences. The content includes relevant articles in the life sciences, social sciences, and finance. Overall, the journal seeks to strike a healthy balance between developing an application and its analysis.

Consequently, examples of most-read articles include “Simulations of Brownian Tracer Transport in Squirmer Suspensions,” “On the Chordae Structure and Dynamic Behaviour of the Mitral Valve,” and “The Role of Tumbling Frequency and Persistence in Optimal Run-and-Tumble Chemotaxis.”

Furthermore, the journal’s editorial board consists of editors Alan Champneys and Demetrios T. Papageorgiou, plus 28 additional faculty members worldwide. Study authors have the option to make their articles available via open access. Visit the IMA Journal of Applied Mathematics for more information.

## International Journal of Applied Mathematics and Computer Science

Published in Poland since 1991, the *International Journal of Applied Mathematics and Computer Science *is a quarterly publication that strives to consistently and prolifically present interdisciplinary research in a host of fields and topics related to control theory, scientific computing, applied mathematics, and computer science.

In addition, the editor-in-chief is Jozef Korbicz, and the deputy editor is Dariusz Ucinski, supported by seven associate editors and 50 editors. Examples of recently accepted articles include “Issues in Parameter Identification and Control,” and “Advanced Diagnosis and Fault-Tolerant Control Methods.”

The journal is available via either domestic or foreign subscription rates. To learn more, visit the International Journal of Applied Mathematics and Computer Science.

## Journal of Applied Mathematics and Mechanics

The journal seeks high-level mathematical investigations of modern mechanical and physical problems. Consequently, the journal especially values articles related to aeronautics and space science and topics ranging from continuum mechanics to elasticity theory.

Furthermore, sample articles include “The Shear Modulus of a Composite Material with a Transversely Isotropic Matrix and a Fibre,” “On Hooke’s Law,” and “A New Approach to the Asymptotic Integration of the Equations of Shallow Convex Shell Theory in the Post-Critical Stage.”

Thirteen editors serve on the publication’s editorial board, and it is available via open access. For more information, visit the Journal of Applied Mathematics and Mechanics.

## Asian Journal of Mathematics

Published by the International Press, The *AsianJournal of Mathematics* was founded in 1997 to catalyze rigorous mathematical research within Asian countries. The journal selectively publishes research papers and survey articles that address virtually all subjects of interest within pure mathematics and theoretical applied mathematics.

Harvard University’s Shing-Tung Yau and Raymond Chan of the Chinese University of Hong Kong serve as editors-in-chief, and 31 editorial board members further lead the publication.

To date, the journal has explored such topics as “Co-invariants of Lie Algebras of Vector Fields on Algebraic Varieties,” “The Normalized Ricci Flow on Four-Manifolds and Exotic Smooth Structures,” and “On a Conjecture of Milnor About Volumes of Simplexes.”

This journal is available via both domestic and international subscriptions, some of which include online access. The journal publishes six times per year. Find more information at the AsianJournal of Mathematics.

**Zentralblatt MATH**

As an effective international reviewing service, *Zentralblatt MATH* provides both article reviews and abstracts that explore topics of interest within the disciplines of pure and applied mathematics. Its editors include the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences – Springer Science+Business Media then distributes the service.

*Zentralblatt MATH* distributes current article reviews, conference papers, books, and other publications that address mathematics and its wide applications among related areas. The reviews are presented mainly in English, but readers will see occasional entries in German and French. The editors invite volunteer reviewers based on their published work or by recommendation from a sitting reviewer.

Access is by subscription, though the first three reviews are free of charge. To find out more, visit Zentralblatt MATH.

## Journal of Communications on Pure and Applied Mathematics

Primarily targeting pure and applied mathematicians, physicists, computer scientists and statisticians, *Communications on Pure and Applied Mathematics* publishes studies and articles that typically originate with or are requested by the Courant Institute of Mathematical Sciences. For instance, it favors topics that explore the latest developments in applied mathematics, mathematical physics and mathematical analysis.

Such topics can include everything from partial differential equations and computer science to applied mathematics. *CPAM* primarily exists to discuss mathematical contributions to the sciences. The editorial team will consider both theoretical and applied papers, original or expository.

The editorial team consists of 11 scholars led by Executive Editor S. R. S. Varadhan, Managing Editor Paul D. Monsour and Production Editor Neelang Parghi. Articles like, “Oscillation Properties od Scalar Conservation Laws,” “Geometrostatic Manifolds of Small ADM Mass,” and “Constant Scalar Curvature Equation and Regularity of its Weak Solution” exemplify typical content.

The journal is available via institutional subscription: see more at Communications on Pure and Applied Mathematics.

## Applied Mathematics and Mechanics Journal

*Applied Mathematics and Mechanics* is the English version of a Chinese-language journal that explores applied mathematics and mechanics. Professor Chien Weizang founded the journal in 1980 before becoming a bimonthly publication in 1981. It then became a monthly version in 1985. This comprehensive journal typically selects original research papers on mechanics and mathematical methods and modeling in mechanics. However, it will also choose articles exploring applied mathematics relevant to neoteric mechanics.

Its editorial committee, headed by Chien Weizang, Ph.D., president of Shanghai University, comprises applied mathematics and mechanics scientists from all over China.

The journal is available via open access if the author chooses that option. Recent examples of popular articles include selections like, “Size-dependent Sinusoidal Beam Model for Dynamic Instability of Single-walled Carbon Nanotubes,” “Primary Resonance of Traveling Viscoelastic Beam Under Internal Resonance,” and “Flow of Casson Fluid with Nanoparticles.”

More information is available by visiting Applied Mathematics and Mechanics.

## Society for Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing

*SIAM Journal on Scientific Computing* focuses on numerical methods and techniques for scientific computation. Thus, it mainly focuses on those that address computational issues relevant to current, real scientific or engineering problems. Furthermore, results should effectively demonstrate the proposed solutions’ effectiveness.

Jan S. Hesthaven serves as editor-in-chief, supported by three section editors and 67 additional scholars worldwide. The team chooses articles in the vein of “Fast Mesh-to-Mesh Remaps Using Hash Algorithms,” “Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations,” and Multiple Scalar Ausiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model.”

This journal is available via subscription. Options exist for individuals, degree-granting institutions, or corporations. Visit the SIAM Journal on Scientific Computing for more information.

## Journal of Mathematical Models and Methods in Applied Sciences

*Mathematical Models and Methods in Applied Sciences* covers topics including modeling and analysis within physics and mathematical physics. Articles also may explore both numerical and computer treatment of either mathematical models or real systems. The journal was founded in 1991, and the publisher is World Scientific.

Typical articles boast titles such as “Mathematical Models of Self-propelled Particles,” “A Quest Toward a Mathematical Theory of the Dynamics of Swarm,” and “Stability Analysis for the Virtual Element Method.”

In addition, the journal’s editorial board comprises 42 mathematical scholars from across the globe. Authors may have their studies published under open access so that they are freely available. See more when you visit Mathematical Models and Methods in Applied Sciences.

## Studies in Applied Mathematics

*Studies in Applied Mathematics* features scholarly articles on mathematical applications in fields like computer science, mechanics, and astrophysics. Founded initially as the *MIT Journal of Mathematics and Physics*, it changed its name to the present version in 1969.

The University of Vermont’s Jianke Yang serves as editor-in-chief. Also, the comprehensive editorial board includes 17 international academics. *Studies in Applied Mathematics *is currently published by Wiley–Blackwell on behalf of the Massachusetts Institute of Technology.

Typical articles include topics like, “2-D Solitary Waves in Thermal Media with Nonsymmetric Boundary Conditions,” “Flux Singularities in Multi-phase Wavetrains and the Kadomtsev-Petviashvili Equation with Applications to Stratified Hydrodynamics,” and “Optimal Control for an SEIR Epidemic Model with Nonlinear Incidence Rate.”

This journal offers authors an open-access option to have their article freely available to everyone, including those who don’t subscribe. See more at Studies in Applied Mathematics.

## Quarterly Journal of Mathematics

The *Quarterly Journal of Mathematics* exists to publish and promote original contributions to the study of pure mathematics. Executive editors are B. Szendroi of the Mathematical Institute, Oxford, and R. Heath-Brown, also of the Mathematical Institute, Oxford.

They are supported by seven consulting editors and an additional 11 members of the editorial board. Also, the journal boasts at least one representative of every central area of pure mathematics on its editorial board.

Some of the most-read articles in the journal include titles like “The Gorenstein Defect Category,” “Conjugate Matrices,” and “Nonlinear Commutativity Preserving Maps on Self-adjoint Operators.”

This journal does provide open access options for those who submit articles. More information is available at the Quarterly Journal of Mathematics.

## Communications in Contemporary Mathematics

While traditional boundaries among mathematics fields continue to blur, *Communications in Contemporary Mathematics* presents the latest, cutting-edge findings. Furthermore, it addresses areas as diverse as algebra, analysis, applied mathematics, dynamical systems, etc. It also provides a forum to encourage discussion and debate among different areas of mathematical study. The journal accepts both new research papers and expository articles.

Recent submissions include, “Hamiltonian Elliptic Systems in Dimension Two With Potentials Which Can Vanish at Infinity,” “Quasilinear Parabolic Problem with Variable Exponent: Qualitative Analysis and Stabilization,” and “Global Gradient Estimates for Asymptotically Regular Problems of *p(x)-* Laplacian Type.”

The journal’s editorial board consists of 34 scholars. Also, the publication supports open access to make research findings available at no cost to the public. Find out more at Communications in Contemporary Mathematics.

## Acta Applicandae Mathematicae

*Acta Applicandae Mathematicae* is a rigorously peer-reviewed mathematics journal that encourages interdisciplinary research studies. Ideally, papers either have a broad appeal or effectively communicate across lines of mathematical research. This journal tends to favor exploring techniques to apply mathematics or the development of new, applicable mathematical processes. Mathematical methods can be related to ordinary or partial differential equations, stochastic models, and much more.

John King and Benoit Perthame serve as editors-in-chief, working with 53 other editors. The journal offers authors an Open Choice option, which makes their research immediately available to the public via open access.

Sample content includes articles like, “Extended Relativistic Toda Lattice, L-Orthogonal Polynomials and Associated Lax Pair,” and “Invariants of Multidimensional Time Series Based on Their Iterated-Integral Signature.”

More information is available at Acta Applicandae Mathematicae.

## Theory of Probability and Its Applications

*Theory of Probability and its Applications* is a direct translation of the Russian journal *Teoriya Veroyatnostei i ee Primeneniya*. As such, this publication primarily accepts submissions that explore the theory and application of statistics, probability and stochastic processes. In addition, *TVP* may look favorably upon original articles and explorations of general problems of mathematical statistics. Consequently, that may include the theory of probability and/or its applications. *TVP* is published quarterly.

The publication’s editorial team is led by A.N. Shiryaev, supported by 16 other editorial members and an executive secretary. Furthermore, they have recently accepted such titles as “On Estimation of Parameters in the Case of Discontinuous Densities,” “Weak Euler Scheme for Levy-Driven Stochastic Differential Equations,” and “A Discrimination Test for Tails of Weibull-Type Distributions.”

Authors may pay a one-time fee that ensures their research is immediately available to the public at no cost. More information is available at Theory of Probability and its Applications.

## SIAM Journal on Optimization

*SIAM Journal on Optimization* leans toward submissions that address linear and quadratic programming, convex programming, nonlinear programming, and similar topics. Thus, the types of articles accepted may emphasize software, optimization theory, computational practice, algorithms, applications, or the links among these disciplines. In other words, the main focus of the journal is research articles on the theory and practice of optimization.

Editor-in-Chief Stephen J. Wright of the University of Wisconsin leads a team of 42 additional editors. In addition, recent examples of their accepted selections include “Decomposition for Multiobjective Optimization” and “Minimizer Extraction in Polynomial Optimization is Robust.”

In addition, this publication supports open access. See more at SIAM Journal on Optimization.

## SIAM Journal on Computing

*SIAM Journal on Computing* exists to promote the most significant and exciting work in computer science and nonnumerical computing. Consequently, accepted articles have historically addressed topics ranging from computational complexity to the mathematical aspects of programming languages and computational robotics.

Led by editor-in-chief Leonard J. Schulman of the California Institute of Technology, the editorial team comprises 29 members. In addition, this journal does provide an open access option.

In addition, recent journal selections include “Watermarking Cryptographic Capabilities,” “A Hierarchy of Lower Bounds for Sublinear Additive Spanners,” and “Minimum Cuts and Sparsification in Hypergraphs.” Read more at SIAM Journal on Computing.

## Fractional Calculus and Applied Analysis

Published by Springer Science + Business Media on behalf of the Institute of Mathematics & Informatics of the Bulgarian Academy of Sciences, *Fractional Calculus and Applied Analysis* is a peer-reviewed mathematics journal. As such, it explores and promotes research on integral transforms, fractional calculus, special functions and others.

Editor-in-Chief Virginia Kiryakova leads a team of 46 other scholars in selecting and producing content. This content is typified by recent popular articles like, “The Zeros of the Solutions of the Fractional Oscillation Equation,” or “Decay Integral Solutions for a Class of Impulsive Fractional Differential Equations in Banach Spaces.”

Furthermore, this journal supports open access. Please see more at Fractional Calculus and Applied Analysis.

## SIAM Journal on Discrete Mathematics

*SIAM Journal on Discrete Mathematics* is an open-access journal that promotes rigorous scientific examinations. Thus, it explores a wide variety of topics under the umbrella of applied mathematics. Some of those may include discrete optimization and operations research, combinatorics and graph theory, theoretical computer science, etc.

In addition, Daniel Kral of Masaryk University serves as editor-in-chief. As such, he leads a team of 40 other editors. In addition, the team has recently accepted submissions such as, “On the Approximability of Influence in Social Networks,” “A Linear-Time Algorithm for Maximum-Cardinality Matching on Cocomparability Graphs,” and “The Diameter of the Rubik’s Cube Group is 20.”

For more information, visit SIAM Journal on Discrete Mathematics.

## Abstract and Applied Analysis

*Abstract and Applied Analysis* emphasizes new and impactful developments in a variety of topics. Thus, it may favor linear and nonlinear functional analysis, optimization theory, classical analysis, ordinary and partial differential equations, and control theory. This publication also exists to publish and promote studies in the areas of both abstract and applied analysis.

As a mathematical peer-reviewed, open-access journal, *Abstract and Applied Analysis* leans toward content such as “Existence Theorems on Solvability of Constrained Inclusion Problems and Applications,” and “A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application.”

Furthermore, the journal’s editorial board consists of more than 100 academic scholars from across the globe. Find out more at Abstract and Applied Analysis.

## Avoiding Paywalls for Applied Mathematics Journal

One of the biggest obstacles many people frequently face when searching for journals is a paywall. If this is something you’re also struggling with, don’t lose hope. There are some ways to get around paying for 100% legal journals but might require extra effort. One method is to use various search engines that specifically search for free versions of articles. These include Google Scholar, the Directory of Open Access Journals, the Chrome extension Unpaywall, and the Open Access Button. In conclusion, using a combination makes it very likely that you’ll find a free version.

A more old-school method is to contact authors directly and tell them about your access situation. Because, they often have free access codes they can give you, or maybe even copies of the papers. However, this process takes more time than search engines, giving it the name “snail trailing.” Whichever methods you go with, have patience, and you’re sure to find a treasure trove of information.