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math.NA2026
On low-rank tensor train approximability for linear nearest neighbor systems
Patrick GelÃ, Sebastian Matera, Reinhold Schneider +1
Low-rank tensor methods are an important tool in the numerical treatment of equations with a high-dimensional state space. Nearest neighbor interaction systems like the Ising model…
math.NA2025
Reduced Basis Approach for Convection-Diffusion Equations with Non-Linear Boundary Reaction Conditions
Sebastian Matera, Christian Merdon, Daniel Runge
This paper aims at an efficient strategy to solve drift-diffusion problems with non-linear boundary conditions as they appear, e.g., in heterogeneous catalysis. Since the non-linea…