A Posteriori Error Estimates for the Crank–Nicolson Method: Application to Parabolic Partial Differential Equations Subject to a Robin Boundary Condition with Small Randomness - Shravani, N.; Reddy, G. M. M.; Vynnycky, M. (Journal of scientific computing, 2025)
Keywords: Algorithms; Boundary conditions; Computational Mathematics and Numerical Analysis; Crank-Nicholson method; Estimates; Expected values; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematical functions; Mathematics; Mathematics and Statistics; Numerical analysis; Parabolic differential equations; Parameter uncertainty; Partial differential equations; Perturbation methods; Power series; Random variables; Theoretical; Finite element method; 65M15; Perturbation technique; error analysis; Small random input data; Parabolic PDE; 65M60; Crank–Nicolson scheme