Euler scheme for approximation of solution of nonlinear ODEs under inexact information

Approximation of solutions of DDEs under nonstandard assumptions via Euler scheme

(2022) Natalia Czyżewska et al.   NUMERICAL ALGORITHMS

On the randomized Euler schemes for ODEs under inexact information

(2022) Tomasz Bochacik et al.   NUMERICAL ALGORITHMS

Randomized Runge–Kutta method — Stability and convergence under inexact information

(2021) Tomasz Bochacik et al.   JOURNAL OF COMPLEXITY

Complexity of approximating Hölder classes from information with varying Gaussian noise

(2020) Paweł M. Morkisz et al.   JOURNAL OF COMPLEXITY

Randomized derivative-free Milstein algorithm for efficient approximation of solutions of SDEs under noisy information

(2020) Paweł M. Morkisz et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Efficient finite-dimensional solution of initial value problems in infinite-dimensional Banach spaces

(2018) Bolesław Kacewicz et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Optimal pointwise approximation of SDE’s from inexact information

(2017) Paweł M. Morkisz et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Approximation of piecewise Hölder functions from inexact information

(2016) Paweł M. Morkisz et al.   JOURNAL OF COMPLEXITY

On the optimal robust solution of IVPs with noisy information

(2015) Bolesław Kacewicz et al.   NUMERICAL ALGORITHMS