Key papers in Applied Mathematics
Pofolia’s corpus holds 54 papers from the Applied Mathematics subfield (2012–2026). The list below starts with the most cited.
Most cited
Ranked by citation count. Because citations accumulate over time, this list naturally leans towards work published a few years ago; for where the field is now, see “recently added”.
Stochastic Equations in Infinite Dimensions
Cambridge University Press eBooks · 2014 · FWCI 45.41 · 4,106 citations
This second edition of a book provides a systematic and self-contained presentation of fundamental results on stochastic evolution equations in infinite-dimensional spaces, such as Hilbert and Banach spaces.
Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística
Open MIND · 2026 · 2,565 citations
A new deterministic model of quantum vacuum interactions, based on classical collision mechanics in a viscoelastic medium, accurately predicts solar neutrino detection rates, refuting probabilistic quantum field theories.
Hypersonic and high temperature gas dynamics
2013 · FWCI 159.14 · 2,188 citations
This document outlines a comprehensive theoretical framework for understanding hypersonic and high-temperature gas dynamics, covering both inviscid and viscous flow regimes.
Nonlinear Potential Theory of Degenerate Elliptic Equations
2018 · FWCI 117.30 · 1,799 citations
This text provides a self-contained treatment of the nonlinear potential theory of superharmonic functions, suitable for advanced students.
Composition Operators on Spaces of Analytic Functions
2019 · 1,699 citations
This abstract outlines a comprehensive exploration of composition operators within various spaces of analytic functions, focusing on their boundedness and compactness properties.
Modern Compressible Flow: With Historical Perspective
2020 · FWCI 86.92 · 1,597 citations
This work presents a comprehensive overview of compressible flow, tracing its historical development and covering fundamental principles and advanced topics.
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
Mathematical surveys and monographs · 2013 · FWCI 21.47 · 1,206 citations
This work introduces monotone operators in Banach spaces as a foundational tool for solving nonlinear partial differential equations (PDEs). It covers stationary and evolution problems, including nonlinear Cauchy problems.
Elasticities and the Inverse Hyperbolic Sine Transformation
Oxford Bulletin of Economics and Statistics · 2019 · Q1 · FWCI 133.92 · 1,115 citations
Applied econometricians can now derive precise elasticities when using the inverse hyperbolic sine (arcsinh) transformation, a common practice that allows retaining zero-valued observations.
Group Invariant Scattering
Communications on Pure and Applied Mathematics · 2012 · Q1 · SJR 4.00 · FWCI 43.68 · 1,039 citations
This paper constructs translation-invariant operators that are Lipschitz-continuous to diffeomorphism actions, enabling robust feature extraction from data.
Orthogonal Polynomials of Several Variables
Cambridge University Press eBooks · 2014 · FWCI 13.66 · 1,008 citations
This revised edition of a comprehensive text introduces orthogonal polynomials with modern concepts and notation, blending classical analysis with symmetry group theory.
On the rate of convergence in Wasserstein distance of the empirical\n measure
arXiv (Cornell University) · 2013 · 970 citations · Open access
This paper establishes new non-asymptotic bounds and concentration inequalities for the convergence rate of empirical measures to their true distribution in Wasserstein distance, for any order p > 0 and dimension d >= 1.
Convex Bodies The Brunn-MinkowskiTheory
Cambridge University Press eBooks · 2013 · FWCI 6.54 · 957 citations
This monograph offers a comprehensive introduction to convex bodies, focusing on the Brunn-Minkowski theory and its applications to volume and surface area. The second edition significantly expands on recent developments, including new chapters on valuations, Lp Brunn-Minkowski theory, and affine constructions.
Difference Equations and Inequalities: Theory, Methods, and Applications
2019 · FWCI 39.11 · 948 citations
This abstract outlines a broad scope of topics within the theory and application of difference equations and inequalities, covering linear and nonlinear systems, boundary value problems, and qualitative properties of solutions.
Computational Optimal Transport
now publishers, Inc. eBooks · 2019 · FWCI 52.41 · 909 citations
This monograph reviews Optimal Transport (OT) with a focus on numerical methods and their data science applications, highlighting recent advancements in approximate solvers that enable scalability for complex problems.
Sinc approximation of algebraically decaying functions
arXiv (Cornell University) · 2018 · 834 citations · Open access
This paper introduces an extension of sinc interpolation to approximate algebraically decaying functions on the real line.
Statistical Aspects of Wasserstein Distances
Annual Review of Statistics and Its Application · 2018 · Q1 · SJR 3.00 · FWCI 44.93 · 802 citations · Open access
Wasserstein distances, inspired by optimal mass transportation, offer a versatile statistical tool for measuring differences between probability distributions by incorporating domain geometry and quantifying perturbations.
Variational Methods for Nonlocal Fractional Problems
Cambridge University Press eBooks · 2016 · FWCI 28.63 · 769 citations
This book offers a comprehensive introduction to the variational analysis of nonlinear problems involving nonlocal operators, presenting both mathematical theory and constructive methods.
Elements of Functional Analysis
2017 · 731 citations
A summary is not available for this content.
Iterative Bregman Projections for Regularized Transportation Problems
SIAM Journal on Scientific Computing · 2015 · Q1 · SJR 1.00 · FWCI 87.48 · 689 citations
A new numerical framework uses entropic regularization and iterative Bregman projections to efficiently approximate solutions for optimal transport problems, particularly those with complex constraints.
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2012 · Q1 · FWCI 35.18 · 676 citations · Open access
This paper establishes the existence of positive solutions for a specific type of nonlinear Schrödinger equation involving the fractional Laplacian operator.
Recently added
Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística
Open MIND · 2026 · 2,565 citations
A new deterministic model of quantum vacuum interactions, based on classical collision mechanics in a viscoelastic medium, accurately predicts solar neutrino detection rates, refuting probabilistic quantum field theories.
Singular Spectrum Analysis: Methodology and Comparison
Journal of Data Science · 2021 · Q3 · FWCI 50.76 · 627 citations · Open access
Singular Spectrum Analysis (SSA) provides more accurate time series forecasts than Box-Jenkins SARIMA, ARAR, and Holt-Winter methods, as demonstrated on US monthly accidental deaths data.
EFEKTIVITAS PEMBELAJARAN DARING MENGGUNAKAN MEDIA ONLINE SELAMA PANDEMI COVID-19 PADA MATA PELAJARAN MATEMATIKA
Al asma Journal of Islamic Education · 2020 · FWCI 123.08 · 447 citations · Open access
During the COVID-19 pandemic, 70% of high school students in Wajo found online mathematics learning effective or very effective (23.3% very effective, 46.7% effective), with 10% finding it ineffective.
Mathematical Methods in Applied Sciences
2020 · FWCI 24.01 · 377 citations
This book presents seven papers on mathematical models in medicine, public health, sports, industry, economy, biology, and chemistry, featuring new results in computational and numerical mathematics.
Modern Compressible Flow: With Historical Perspective
2020 · FWCI 86.92 · 1,597 citations
This work presents a comprehensive overview of compressible flow, tracing its historical development and covering fundamental principles and advanced topics.
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