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physics.comp-ph2018★ 22 cited
The MAPLE package TDDS for computing Thomas decompositions of systems of nonlinear PDEs
Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz
We present the Maple package TDDS (Thomas Decomposition of Differential Systems). Given a polynomially nonlinear differential system, which in addition to equations may contain ine…
stat.ML2018★ 18 cited
Algorithmic Linearly Constrained Gaussian Processes
Markus Lange-Hegermann
We algorithmically construct multi-output Gaussian process priors which satisfy linear differential equations. Our approach attempts to parametrize all solutions of the equations u…