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math.AP2026
A Regularized Shallow Water System
Evgueni Dinvay, Henrik Kalisch
The shallow-water system is a standard model for long waves in shallow water. The system is hyperbolic and, for a large class of initial data, solutions develop steep gradients lea…
physics.flu-dyn2026
A Fixed-Grid Affine-Constrained Multiwavelet Coefficient Method for Buckley--Leverett Shock Capturing
Christian Tantardini, Evgueni Dinvay
We present a fixed-grid conservative affine-constrained modal/multiwavelet coefficient method for one-dimensional Buckley--Leverett saturation transport. The saturation is evolved…
quant-ph2026
Riemannian gradient descent for Hartree-Fock theory
Evgueni Dinvay
We present a Riemannian optimization framework for Hartree-Fock theory formulated directly in the Sobolev space . The orthonormality constraints are interpreted geometrically…