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math.NA2026
Efficient Rigorous Continuation via Chebyshev Series Expansion I
Maxime Breden, Olivier Hénot
We study the global continuation of solution manifolds arising in dynamical systems. We present a rigorous continuation method based on a Chebyshev series expansion of the solution…
math.NA2026
A simple rigorous integrator for semilinear parabolic PDEs
Jan Bouwe van den Berg, Maxime Breden
Simulations of the dynamics generated by partial differential equations (PDEs) provide approximate, numerical solutions to initial value problems. Such simulations are ubiquitous i…