Timestep-dependent element interpolation functions in the method of matched sections on the example of heat conduction problem. - Igor Orynyak; Anton Tsybulnyk; Kirill Danylenko; Andrii Oryniak; Sergii Radchenko (J. Comput. Appl. Math., 2025)

Apictorial Jigsaw Puzzle Reconstruction Based on Curve Matching via a Corotational Beam Spline. - Igor Orynyak; Dmytro Koltsov; Danylo Tavrov (CoRR, 2025)

Spectral approach for thin plate torsional and flexural vibration by the method of matched sections. - Igor Orynyak; Anton Tsybulnyk; Kirill Danylenko; Hlib Sinelnyk (Comput. Math. Appl., 2026)

Efficient construction of clothoidal splines using corotational beam splines. - Igor Orynyak; Yurii Kuznetsov; Danylo Tavrov (J. Comput. Appl. Math., 2026)

Thin Plate Spline Surface Reconstruction via the Method of Matched Sections. - Igor Orynyak; Kirill Danylenko; Danylo Tavrov (CoRR, 2026)