134 citations · 770 across the 68 of their papers we have counts for
5 papers · 1 filter
Optimized linear multistep methods for stiff problems
Tyler Jensen, David I Ketcheson, Lajos Lóczi
We design and test several new optimized linear multistep methods for stiff problems. Each method is A-stable, implicit, and second-order accurate. We focus on achieving the smalle…
Compartmental epidemiological models with infection-driven immune escape
Daniela R. Ramírez-Gutiérrez, Lajos Lóczi, Carlos Muñoz-Moncayo +1
We propose and study a compartmental epidemiological model that incorporates both waning immunity and mutation-driven immune escape into a single-strain framework. The model, terme…
Asymptotic-Preserving Exponential Integrators applied to the Hyperbolic Korteweg-de Vries System
Abhijit Biswas, Sebastiano Boscarino, David I. Ketcheson +1
We study the application of exponential time integration methods, coupled with Fourier pseudospectral space discretization, to the hyperbolic Korteweg-de Vries (KdVH) system. We in…
Adaptive, efficient, and scalable water wave modeling with dispersive hyperbolic systems
Carlos Muñoz-Moncayo, David I. Ketcheson
Accurate modeling of tsunamis (such as those generated by landslides) requires capturing both wave dispersion in the deep ocean and wave breaking near the shore. The shallow water…
Efficient High-order Mass-conserving and Energy-balancing Schemes for Schrödinger-Poisson Equations
Manvendra Pratap Rajvanshi, David I. Ketcheson
We study relaxation-based approaches for conserving mass and energy in the numerical solution of Schrödinger-Poisson (SP) type systems. Relaxation-based methods offer a general app…