Contributed Discussion to Bayesian Solution Uncertainty Quantification for Differential Equations

TL;DR

This paper discusses Bayesian methods for quantifying solution uncertainty in differential equations, compares an alternative B-spline expansion approach, and comments on convergence rates.

Contribution

It introduces a Bayesian framework for solution uncertainty quantification, proposes an alternative B-spline based method, and analyzes convergence properties.

Findings

Bayesian approach effectively quantifies uncertainty.

B-spline expansion offers a viable alternative.

Convergence rate analysis provides theoretical insights.

Abstract

We begin by introducing the main ideas of the paper under discussion, and we give a brief description of the method proposed. Next, we discuss an alternative approach based on B-spline expansion, and lastly we make some comments on the method's convergence rate.