Individual skill
communications-on-pure-and-applied-mathematics
Use when targeting Communications on Pure and Applied Mathematics (CPAM) or deciding whether an analysis, PDE, or applied-mathematics manuscript fits this Courant/Wiley venue. Encodes the journal's fit, framing, proof standard, house style, official-submission re-check, and desk-reject heuristics.
English-NaturalScience-Journal-Skills/skills/communications-on-pure-and-applied-mathematics/SKILL.md
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# Communications on Pure and Applied Mathematics (communications-on-pure-and-applied-mathematics)
## Journal positioning
Communications on Pure and Applied Mathematics, published by Wiley in association with the Courant Institute of Mathematical Sciences, is one of the most prestigious journals at the interface of pure analysis and applied mathematics. Its defining character is depth of analysis applied to problems with mathematical substance: partial differential equations, mathematical physics, calculus of variations, dynamical systems, probability, and applied analysis where the theory is genuine and demanding. CPAM rewards work that develops powerful analytical machinery, resolves a hard problem in PDE or analysis, or builds a rigorous theory for a phenomenon of broad mathematical or physical interest. It is not a venue for routine numerical studies, modeling papers light on theorem-proof content, or narrowly specialized technical notes. Refereeing is exacting and slow.
This skill is a **fit / venue-selection / re-framing** tool. It does not replace the journal's current official submission guidelines. Before submitting, re-check the live author instructions on the CPAM Wiley site and confirm submission procedures.
## When to trigger
- The author is considering CPAM for a deep analysis or PDE paper with substantial theorem-proof content.
- A paper develops new analytical techniques for a problem in mathematical physics, variational analysis, or applied analysis and the author is choosing among CPAM, `advances-in-mathematics`, and `annals-of-mathematics`.
- An applied-mathematics result has genuine theoretical depth that exceeds the scope of a specialized applied journal.
- The author needs CPAM's significance and rigor bar, plus common rejection reasons, before submission.