Latest Articles for Mathematical Modeling

Computational Engineering, Finance, and Science Examining Material Stiffness and Behavior

A look into how materials respond to stress and the role of randomness.

Sharana Kumar Shivanand, Bojana Rosić, Hermann G. Matthies

2025-06-03T06:43:30+00:00 ― 7 min read

Pattern Formation and Solitons Solitons in Quasiperiodic Lattices and Their Interactions

Explore solitons and their unique behavior in quasiperiodic lattices.

Eduard Pavlyshynets, Luca Salasnich, Boris A. Malomed

2025-06-03T04:45:45+00:00 ― 4 min read

Analysis of PDEs Analyzing Supersonic Gas Flows Around Wedges

This article examines gas flow behavior near wedge shapes at supersonic speeds.

Gui-Qiang G. Chen, Yun Pu, Yongqian Zhang

2025-06-02T18:02:03+00:00 ― 5 min read

Analysis of PDEs Mathematical Approaches to Tumor Growth Analysis

This article discusses modeling techniques for analyzing tumor growth and early detection.

Abramo Agosti, Elena Beretta, Cecilia Cavaterra

2025-06-02T05:04:22+00:00 ― 6 min read

Numerical Analysis Advancements in Domain Decomposition Methods

Exploring the latest developments in Domain Decomposition Methods for complex problem solving.

Santiago Badia, Jerome Droniou, Jai Tushar

2025-06-02T04:11:56+00:00 ― 6 min read

Nuclear Theory Advances in Neutron Star Modeling with Chebyshev Polynomials

New methods improve equations of state for neutron stars using Chebyshev polynomials.

Lee Lindblom, Tianji Zhou

2025-06-02T00:38:00+00:00 ― 5 min read

Probability Particle Dynamics in the Totally Asymmetric Exclusion Process

Examining TASEP's particle behavior, shocks, and random initial conditions.

Xincheng Zhang

2025-06-01T22:57:20+00:00 ― 6 min read

Analysis of PDEs Vortex Stretching in Axisymmetric Fluid Flows

This article examines the behavior of vorticity in axisymmetric flows without swirl.

Deokwoo Lim, In-Jee Jeong

2025-06-01T22:16:42+00:00 ― 4 min read

Numerical Analysis Understanding Fluid Dynamics Through Oseen Eigenvalue Problems

An overview of the Oseen eigenvalue problem and its significance in fluid dynamics.

Felipe Lepe, Gonzalo Rivera, Jesus Vellojin

2025-06-01T19:01:23+00:00 ― 6 min read

Biological Physics Patterns Formed by Protein Interactions

This article explores how protein interactions create patterns in cellular processes.

Henrik Weyer, Tobias A. Roth, Erwin Frey

2025-06-01T06:26:51+00:00 ― 7 min read

Fluid Dynamics Patterns and Behaviors in Rotating Fluids

This study examines fluid behaviors in Rayleigh-Bénard convection with rotation.

Geoffrey M. Vasil, Keaton J. Burns, Daniel Lecoanet

2025-06-01T05:00:30+00:00 ― 7 min read

Analysis of PDEs Investigating Soap Film Behavior Under Electrostatic Forces

Study reveals how electrostatic forces affect soap film shape and stability.

Lina Sophie Schmitz

2025-05-31T16:48:23+00:00 ― 5 min read

Machine Learning Analyzing Climber Skills in Bouldering Competitions

A study on climbing skills evaluation using advanced modeling techniques.

Ethan Baron, Victor Hau, Zeke Weng

2025-05-31T14:30:06+00:00 ― 7 min read

Analysis of PDEs Examining the 2D Euler Equations in Fluid Dynamics

A look at the challenges and insights from studying fluid behavior through the 2D Euler equations.

Elaine Cozzi, Nicholas Harrison

2025-05-31T06:58:43+00:00 ― 5 min read

Optics Revolutionizing Optical Design with Inverse Methods

A look into new methods for designing optical systems using mathematical models.

J. H. M. ten Thije Boonkkamp, K. Mitra, M. J. H. Anthonissen

2025-05-31T04:37:33+00:00 ― 6 min read

High Energy Physics - Theory The Dance of Branes and T-Cones in Physics

An engaging look at branes, T-cones, and their roles in theoretical physics.

Ignacio Carreño Bolla, Sebastián Franco, Diego Rodríguez-Gómez

2025-05-30T14:35:48+00:00 ― 5 min read

Mathematical Physics The Pulsating Dance of Quantum Walks

A look at the pulsation in quantum walks and its implications for search algorithms.

Taisuke Hosaka, Etsuo Segawa

2025-05-30T13:05:09+00:00 ― 6 min read

Analysis of PDEs Understanding Disease Spread Through Mathematical Models

Exploring how models help us understand disease movement and control epidemics.

Rui Peng, Rachidi B. Salako, Yixiang Wu

2025-05-28T19:49:29+00:00 ― 6 min read

Computation Approaches to Solve Fredholm Integral Equations

This article discusses methods for solving Fredholm integral equations of the second kind.

Francesca R. Crucinio, Adam M. Johansen

2025-05-27T12:01:16+00:00 ― 4 min read

Pattern Formation and Solitons Understanding the Dynamics of Dispersive Shock Waves

Discover the complex behaviors of waves in physics and their real-world applications.

Gino Biondini, Alexander Bivolcic, Mark A. Hoefer

2025-05-25T20:38:12+00:00 ― 7 min read

Dynamical Systems Understanding Hybrid Limit-Cycling Systems

A look at hybrid systems that balance smooth and dynamic motions.

Natsuki Katayama, Yoshihiko Susuki

2025-05-24T19:09:31+00:00 ― 7 min read

Optimization and Control Optimizing Solutions in Uncertain Environments

A look at solving optimization problems amidst uncertainty and complexity.

Harbir Antil, Sergey Dolgov, Akwum Onwunta

2025-05-24T16:59:40+00:00 ― 9 min read

Fluid Dynamics Understanding Atmospheric Dynamics Through Advanced Techniques

Learn how scientists model air movement and improve weather predictions.

Tamara A. Tambyah, David Lee, Santiago Badia

2025-05-24T14:25:12+00:00 ― 5 min read

Numerical Analysis Cubic Powell-Sabin Splines: Smooth Shapes in Graphics

Learn how cubic Powell-Sabin splines create smooth curves in computer graphics.

Jan Grošelj, Hendrik Speleers

2025-05-24T03:17:17+00:00 ― 4 min read

Pattern Formation and Solitons The Intricacies of Wave Behavior and Stability

Understanding waves, modulational instability, and their complex interactions.

D. S. Agafontsev, T. Congy, G. A. El

2025-05-23T20:17:24+00:00 ― 5 min read

Optimization and Control Challenges in Predicting Non-Dissipative Systems

An overview of data assimilation in complex, unpredictable systems.

Edriss S. Titi, Collin Victor

2025-05-22T15:22:06+00:00 ― 7 min read

General Relativity and Quantum Cosmology The Intriguing World of Proca Stars

Discover the unique properties and mysteries of Proca stars.

Carlos Joaquin, Miguel Alcubierre

2025-05-22T08:01:48+00:00 ― 6 min read

Data Structures and Algorithms The Complexity of Multispin Systems

Exploring interactions in multispin systems and their implications.

Kuikui Liu, Nitya Mani, Francisco Pernice

2025-05-22T03:40:35+00:00 ― 7 min read

Populations and Evolution Understanding Population Changes in Nature

A look at models predicting population dynamics and their implications in nature.

Haiyan Wang

2025-05-21T02:17:00+00:00 ― 7 min read

Adaptation and Self-Organizing Systems Understanding Adaptive Networks and Their Impact

A look into adaptive networks and their role in system stability.

Nina Kastendiek, Jakob Niehues, Robin Delabays

2025-05-18T14:41:00+00:00 ― 5 min read

Probability Connecting Fluid Flow and Population Growth

A look at how percolation theory and branching processes relate.

Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres

2025-05-17T07:20:20+00:00 ― 7 min read

Biological Physics The Interplay of Life: Nature's Game

Explore the complex interactions within ecosystems through population dynamics.

Alexander Felski, Flore K. Kunst

2025-05-15T01:13:48+00:00 ― 7 min read

Probability How Connections Shape the Spread of Ideas and Infections

Explore how network structures influence the spread of ideas and diseases.

Gadi Fibich, Yonatan Warman

2025-05-15T00:48:40+00:00 ― 5 min read

Systems and Control Understanding Laplacian Flows in Networks

Learn how Laplacian flows help explain consensus in complex networks.

Aditi Saxena, Twinkle Tripathy, Rajasekhar Anguluri

2025-05-14T23:14:38+00:00 ― 4 min read

Optimization and Control Managing Uncertainty in Dynamic Systems

A look at how uncertainty affects engineering and science.

Amit Jain, Puneet Singla, Roshan Eapen

2025-05-14T14:53:16+00:00 ― 7 min read

High Energy Physics - Phenomenology Insights into Leptonic Mass Spectra and Particle Decay

Study reveals crucial details about particle behavior and fundamental physics laws.

Mateusz Czaja, Mikołaj Misiak, Abdur Rehman

2025-05-14T12:39:48+00:00 ― 6 min read

Analysis of PDEs Understanding the Burgers Equation in Fluid Dynamics

A look at how the Burgers equation models fluid behavior.

Vincent Laheurte

2025-05-12T20:01:52+00:00 ― 7 min read

Analysis of PDEs Controlling Chemical Reactions in Tubular Reactors

Learn how to manage chemical reactions for better results.

Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner

2025-05-12T18:03:08+00:00 ― 4 min read

Probability Traffic Flow: Simplifying Movement Patterns

A look into how cars or particles move and interact on a one-lane road.

Marina V. Yashina, Alexander G. Tatashev

2025-05-11T01:25:12+00:00 ― 6 min read

Analysis of PDEs The Science Behind Wilton Ripples

Learn about Wilton ripples and their connection to the Kawahara equation.

Ryan P. Creedon

2025-05-09T22:47:56+00:00 ― 6 min read