Proves relative-gap-preserving error bounds for singular vectors and eigenvectors from mixed-precision Jacobi methods that depend on the preconditioned matrix scaled condition number rather than the original.
Introduction to Numerical Linear Algebra
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An auto-adaptive sampling technique for PINNs is introduced and tested on Allen-Cahn equations to better resolve interfacial regions compared to residual-adaptive methods.
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Auto-Adaptive PINNs with Applications to Phase Transitions
An auto-adaptive sampling technique for PINNs is introduced and tested on Allen-Cahn equations to better resolve interfacial regions compared to residual-adaptive methods.