VisualPDE: rapid interactive simulations of partial differential equations

DOI10.1007/s11538-023-01218-4arXiv2308.01245MaRDI QIDQ6084608

Benjamin J. Walker, Adam K. Townsend, Andrew L. Krause, Alexander K. Chudasama

Publication date: 6 November 2023

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.01245

zbMATH Keywords

time-dependent partial differential equationsspatial modellinginteractive mathematicsweb-based visualisation

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (1)

Turing instabilities are not enough to ensure pattern formation

Cites Work

• Unnamed Item
• Unnamed Item
• Report 14/2006: Geometric Numerical Integration (March 19th -- March 25th, 2006)
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Complex pattern formation in reaction-diffusion systems with spatially varying parameters
• Pattern formation in spatially heterogeneous Turing reaction-diffusion models
• Isolating patterns in open reaction-diffusion systems
• Bistability, wave pinning and localisation in natural reaction-diffusion systems
• Turing and wave instabilities in hyperbolic reaction-diffusion systems: the role of second-order time derivatives and cross-diffusion terms on pattern formation
• Large-scale interactive numerical experiments of chaos, solitons and fractals in real time via GPU in a web browser
• Isolas of 2-pulse solutions in homoclinic snaking scenarios
• Bespoke Turing systems
• MathJax: A Platform for Mathematics on the Web
• Homoclinic snaking: Structure and stability
• The Korteweg–deVries Equation: A Survey of Results
• Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate
• Scientific Computing
• The Cahn–Hilliard Equation: Recent Advances and Applications
• The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation
• An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation
• Approximate localised dihedral patterns near a turing instability
• From finite differences to finite elements. A short history of numerical analysis of partial differential equations

This page was built for publication: VisualPDE: rapid interactive simulations of partial differential equations