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Theory and Modern Applications

Table 2 Problem-specific parameters, (σ) represents the verification-loss bound, (inc) is short for increments and refers to the learning procedure discussed in the context of Fig. 5

From: Adaptive neural-domain refinement for solving time-dependent differential equations

Example

Domain

σ

Inc.

IVP in Eq. (29)

t[0,15]

1e-5

5

IVP in Eq. (30)

t[0,25]

1e-4

5

IVP in Eq. (31)

t[0,20]

1e0

2

IVP in Eq. (32)

t[0,30]

1e-3

5