Frontiers in Applied Mathematics and Statistics

Original Research

Accepted on 14 Aug 2025

Quantum Adaptive Search: A Hybrid Quantum-Classical Algorithm for Global Optimization of Multivariate Functions

in Mathematical Physics

Gabriele Intoccia
Salvatore Cuomo
Ugo Chirico
Giovanni Piero Pepe
Vincenzo Schiano Di Cola

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1662682

309 views

Original Research

Published on 11 Jul 2025

Exact optical soliton solutions and interaction dynamics in fractional nonlinear systems

in Mathematical Physics

Saleh M. Alzahrani
Chokri Chniti
Dalal Marzouq AlMutairi

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1584929

838 views

Original Research

Published on 10 Jul 2025

On negative eigenvalues of 1D Schrödinger operators with δ′-like potentials

in Mathematical Physics

Yuriy Golovaty
Rostyslav Hryniv

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1615447

764 views

Original Research

Published on 13 Jun 2025

Laplacian spectra and structural insights: applications in chemistry and network science

in Mathematical Physics

Ali Raza
Muhammad Mobeen Munir

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1519577

886 views

Original Research

Published on 09 May 2025

Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation

in Mathematical Physics

Abaker A. Hassaballa
Elzain A. E. Gumma
Ahmed M. A. Adam
Omer M. A. Hamed
Ali Satty
Mohyaldein Salih
Faroug A. Abdalla
Zakariya M. S. Mohammed

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1568757

975 views

Original Research

Published on 26 Feb 2025

Mellin convolutions of products and ratios

in Mathematical Physics

Arak M. Mathai
Hans J. Haubold

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1526541

973 views

Opinion

Published on 15 Jan 2025

The old Babylonian algorithm: reborn with a bang and its application in non-linear vibration

in Mathematical Physics

Liangyuan Zhang

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1530024

1,126 views
2 citations

Original Research

Published on 08 Jan 2025

Low Mach dynamics of interface and flow fields in thermally conducting fluids

in Mathematical Physics

Snezhana I. Abarzhi

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1517619

765 views

Perspective

Published on 07 Jan 2025

The connection between non-normality and trophic coherence in directed graphs

in Mathematical Physics

Catherine Drysdale
Samuel Johnson

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1512865

1,279 views

Mini Review

Published on 02 Dec 2024

Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit

in Mathematical Physics

Martin Vogel

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1508973

1,203 views

Original Research

Published on 06 Nov 2024

Qualitative analysis of fourth-order hyperbolic equations

in Mathematical Physics

Yuliia Andreieva
Kateryna Buryachenko

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1467199

979 views

Original Research

Published on 02 Oct 2024

(In)stability of de Sitter quasinormal mode spectra

in Mathematical Physics

C. M. Warnick

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1472401

1,329 views
4 citations

Original Research

Published on 26 Jul 2024

Application of Haar Scale-3 wavelet method to the solution of Buckmaster and Chaffee–Infante non-linear PDE

in Mathematical Physics

Ratesh Kumar
Sonia Arora

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1412181

1,261 views
2 citations

Original Research

Published on 16 Jul 2024

Oscillatory behavior of solutions of second-order non-linear differential equations with mixed non-linear neutral terms

in Mathematical Physics

Ahmed M. Hassan
Osama Moaaz
Sameh S. Askar
Ahmad M. Alshamrani

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1384559

1,421 views

Original Research

Published on 14 Jun 2024

On monoids of metric preserving functions

in Mathematical Physics

Viktoriia Bilet
Oleksiy Dovgoshey

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1420671

1,245 views
7 citations

Editorial

Published on 14 May 2024

Editorial: Advances in computational relativity

in Mathematical Physics

Scott E. Field
Sigal Gottlieb
Gaurav Khanna

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1420155

988 views