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math.NA2026
A tensor-train multidimensional inverse Laplace transform
Martin Mikkelsen, Michael Kastoryano
Laplace transforms and their numerical inverses arise throughout applied mathematics, physics, finance, and probability theory. Numerical inversion, however, quickly becomes intrac…
math.NA2025
Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration
Lucas Arenstein, Martin Mikkelsen, Michael Kastoryano
Accurately solving high-dimensional partial differential equations (PDEs) remains a central challenge in computational mathematics. Traditional numerical methods, while effective i…