3 papers
math.NA2026
Drift-Free Conservative Dynamics from Quantized Interaction Rules
Park Junhu, Youngsoo Ha, Myungjoo Kang
Conservation laws are conventionally discretized through floating-point flux evaluation, with invariants obtained by cancellation of approximate interface contributions and admissi…
math.NA2026
Continuum dynamics from quantised interaction rules
Park Junhu, Youngsoo Ha, Myungjoo Kang
Hyperbolic conservation laws are conventionally solved by evolving reconstructed floating-point fields, incurring both computational overhead and structural diffusion near disconti…
physics.comp-ph2024
Neural Operators Learn the Local Physics of Magnetohydrodynamics
Taeyoung Kim, Youngsoo Ha, Myungjoo Kang
Magnetohydrodynamics (MHD) plays a pivotal role in describing the dynamics of plasma and conductive fluids, essential for understanding phenomena such as the structure and evolutio…