Authors’ Guidelines
Mathematical Structures and Computational Modeling (MSCM) welcomes original, rigorous, and clearly presented contributions in mathematical theory, mathematical structures, computational mathematics, mathematical modeling, numerical methods, and related interdisciplinary applications. Manuscripts should make a clear scholarly contribution and provide sufficient detail for their mathematical reasoning, computational procedures, and results to be evaluated and, where appropriate, reproduced.
1. Before Submission
Authors should ensure that:
the manuscript is within the aims and scope of MSCM;
the work is original and has not been published or submitted elsewhere;
all authors have approved the final manuscript and agreed to its submission;
related publications, conference papers, preprints, datasets, reports, or overlapping manuscripts have been disclosed;
all necessary ethical, copyright, funding, conflict-of-interest, and other declarations are included; and
the manuscript and all required files are complete and ready for editorial assessment.
2. Suitable Contributions
MSCM considers scholarly contributions appropriate to its scope, including:
Research Articles presenting original mathematical theory, computational methods, mathematical models, algorithms, numerical approaches, simulations, or interdisciplinary applications.
Review Articles providing authoritative and critical analysis of established or emerging developments in mathematics, computational modeling, or related fields.
Short Communications and Technical Notes reporting concise mathematical results, methodological advances, computational techniques, algorithms, or significant technical developments.
Methodological and Computational Studies introducing or evaluating mathematical frameworks, numerical methods, optimization procedures, computational approaches, or modeling techniques.
Other contribution types may be considered when they provide a clear scholarly contribution within the Journal’s scope.
3. Constructing the Manuscript
The manuscript should be written in clear academic English and organized according to the nature of the work. A typical research article may follow the sequence of Title , Abstract, Keywords, Introduction, Mathematical/Conceptual Framework, Methods or Computational Approach, Results, Discussion, Conclusion and, References.
The structure may be adapted for theoretical, mathematical, computational, or interdisciplinary studies where another organization is more appropriate.
Title: The title should be concise, informative, and accurately identify the principal mathematical problem, method, model, or application. Avoid unnecessary abbreviations and overly broad wording.
Abstract: The abstract should briefly communicate the problem or motivation, objective, mathematical or computational approach, principal findings, and significance of the results. It should normally be presented as a single coherent paragraph without references and subheadings.
Keywords: Provide approximately 6–8 specific keywords or phrases that are closely related to the topic being discussed in the manuscript and represent the principal mathematical concepts, methods, computational techniques, models, or application areas.
Introduction: The Introduction should establish the research context, identify the relevant problem or knowledge gap, summarize important previous work, explain the rationale for the study, and clearly state its objectives or principal contributions.
4. Mathematical and Computational Content
Because MSCM publishes mathematical and computational research, manuscripts should provide sufficient technical detail to allow readers and reviewers to understand and assess the work.
Authors should:
define important variables, parameters, functions, operators, symbols, and assumptions when first introduced;
present mathematical notation consistently throughout the manuscript;
state important hypotheses, boundary or initial conditions, constraints, and model assumptions;
explain the derivation or justification of new equations, propositions, algorithms, or models where necessary;
distinguish clearly between theoretical results, assumptions, numerical approximations, simulations, and empirical observations;
describe computational algorithms and numerical procedures sufficiently for independent evaluation;
identify relevant software, programming languages, packages, libraries, or computational environments where they materially affect the results; and
report parameter settings, datasets, benchmark problems, validation procedures, and computational experiments where applicable.
Claims concerning convergence, stability, consistency, accuracy, complexity, uniqueness, existence, or computational performance should be supported by appropriate mathematical analysis or evidence.
5. Numerical Experiments, Simulations, and Modeling
For manuscripts involving numerical computation, simulation, optimization, or mathematical modeling, authors should provide enough information to enable meaningful assessment of the computational work. Where applicable, authors should report:
the mathematical model and governing equations;
numerical or computational methods used;
parameter values and initial or boundary conditions;
discretization or approximation procedures;
convergence criteria and stopping rules;
error measures or accuracy assessments;
benchmark or comparison methods;
software and relevant computational environment;
datasets or input sources; and
procedures used to validate or test the model or algorithm.
Results should be presented objectively, with appropriate tables, figures, examples, or computational comparisons. Numerical results should not be reported without sufficient explanation of the method used to obtain them.
6. Equations, Symbols, Figures, and Tables
Mathematical equations should be clearly formatted and numbered sequentially when they are referred to in the text. Symbols and specialized notation should be defined consistently.
Figures should:
be numbered in order of appearance;
be cited in the text;
contain clear labels, legends, symbols, and units where applicable;
have informative captions; and
be of sufficient quality for publication.
Tables should be concise, clearly titled, numbered sequentially, and cited in the text. Information should not be unnecessarily duplicated between tables, figures, and the main text.
Authors should obtain permission for copyrighted or third-party material where required.
7. Data, Code, Software, and Supplementary Materials
Where computational results depend on datasets, source code, algorithms, software, or other research materials, authors are encouraged to make the relevant materials available through suitable repositories whenever ethically, legally, and practically possible.
A Data and/or Code Availability Statement should explain how supporting datasets, source code, algorithms, or other materials can be accessed.
Where materials cannot be shared because of legal, ethical, privacy, licensing, proprietary, or other legitimate restrictions, the relevant limitation should be stated.
Supplementary files may include:
additional mathematical derivations;
extended proofs;
datasets;
source code;
algorithms or pseudocode;
additional figures or tables;
computational experiments; and
supporting methodological information.
8. References and Citations
References should be accurate, complete, relevant, and consistently formatted according to the Vancouver style required by the Journal.
References should be numbered consecutively in the order in which they first appear in the manuscript, and the same number should be retained when a source is cited again. DOIs should be included where available.
For journal titles, authors should use recognized standardized journal-title abbreviations.
Authors should use authoritative and relevant scholarly sources and avoid excessive self-citation, irrelevant references, and unverifiable sources.
9. Authorship and Contributions
Authorship should reflect substantial intellectual or scholarly contributions to the work. All authors should have participated sufficiently in the research or manuscript preparation to take responsibility for their contribution.
An Authors’ contribution statement is required for multi-author manuscripts. Contributions may include:
conceptualization, mathematical formulation, methodology, formal analysis, investigation, software, algorithm development, data curation, validation, visualization, supervision, writing, and review and editing, as applicable.
Individuals who contributed to the work but do not meet authorship requirements may be acknowledged in separate section with their permission.
10. Research Integrity and Ethical Requirements
Authors are responsible for the accuracy, originality, and integrity of their submissions. Manuscripts must not contain plagiarism, fabrication, falsification, inappropriate text recycling, duplicate publication, manipulated results, or inappropriate authorship.
Any use of material, data, figures, algorithms, software, or ideas originating from other sources must be appropriately acknowledged and cited.
Where research involves human participants, confidential data, regulated materials, or other activities requiring ethical oversight, the appropriate approval and consent information must be provided.
11. Artificial Intelligence and AI-Assisted Tools
AI-assisted tools may be used for appropriate purposes such as language improvement, grammar correction, formatting assistance, or similar editorial support.
Substantive use of AI or generative AI in developing, analyzing, interpreting, or producing scholarly content should be disclosed where applicable. AI tools must not be used to fabricate mathematical results, data, references, citations, computational findings, or other scholarly information. AI systems cannot be listed as authors. Authors remain fully responsible for the accuracy, originality, integrity, and attribution of all submitted material.
12. Transparency Statements
Authors should provide the Conflict of Interest Statement disclosing any actual, potential, or perceived conflicts. If none exist, this should also be explicitly stated.
Where applicable, the manuscript should also include:
Funding Statement — identify financial or institutional support and, where relevant, describe the funder's role.
Data/Code Availability Statement — indicate whether supporting data, code, algorithms, or other materials are available and how they may be accessed.
Ethics Statement — provide relevant ethical approval and consent information when applicable.
Acknowledgements — identify individuals or organizations that provided appropriate assistance but do not qualify for authorship.
13. Reviewers
Authors may recommend up to three qualified potential reviewers with appropriate expertise. Suggested reviewers should be independent of the authors and free from relevant personal, professional, institutional, or financial conflicts.
Authors may also identify individuals who should not review the manuscript because of a legitimate conflict or other substantial concern, together with a brief explanation where appropriate.
Reviewer suggestions and exclusions are advisory. The Editor retains full responsibility for reviewer selection.
14. Editorial and Peer-Review Process
Every submission is first assessed by the editorial team for:
relevance to the Journal’s scope;
originality and scholarly contribution;
mathematical or computational soundness;
clarity and completeness;
research-integrity and ethical requirements; and
compliance with essential submission requirements.
Manuscripts that are unsuitable or incomplete may be returned or declined before external review. Manuscripts that proceed to review are evaluated according to the Journal’s peer-review policy.
15. Revision and Resubmission
When revision is requested after the peer review, authors should submit a revised manuscript; and a clear, point-by-point response to the editorial and reviewer comments.
Changes should be identified clearly, and any substantive recommendation that has not been adopted should be accompanied by an appropriate explanation. Revision does not guarantee acceptance. A revised manuscript may undergo further editorial assessment or peer review.
16. Published Articles and Post-Publication Issues
Authors remain responsible for the accuracy and integrity of their published work. Any significant error discovered after publication should be reported to the Journal promptly.
Depending on the nature of the issue, the Journal may publish a correction, addendum, editorial expression of concern, retraction, or another appropriate notice in accordance with its publication-ethics policies.
17. Open Access and Article Processing Charge
MSCM operates under an Open Access publishing model, with published articles made freely available to readers upon publication.
There is no submission fee. An Article Processing Charge (APC) of AUD 450 applies to manuscripts accepted after successful peer review and editorial evaluation. The APC supports editorial, production, hosting, and publication services.
Payment may be made by debit/credit card or bank transfer. For bank-transfer payments, the total amount is AUD 480, including applicable bank charges.
Payment of an APC has no bearing on editorial decisions, peer review, or acceptance.
18. Author Responsibility
Submission of a manuscript confirms that the authors have reviewed these guidelines and accept responsibility for ensuring that their work is original, mathematically and computationally sound, accurately reported, appropriately referenced, ethically conducted where applicable, and compliant with the Journal’s publication and submission requirements.
