180 citations
Showing math.NAShow all
3 papers · 1 filter
math.NA2017
A new class of high-order summation by parts finite-difference schemes
Leonid Dovgilovich, Rustem Maksyutov, Ivan Sofronov
We develop summation by parts (SBP) approach for generating high-order finite-difference schemes on the interval and propose new sets of schemes up to the 12th order. The coefficie…
math.NA2016★ 2 cited
Truncated transparent boundary conditions
Ivan Sofronov
We derive equations for evaluating differential operators in transparent boundary conditions (TBCs) for a certain class of hyperbolic systems of second-order equations. This local…
math.NA2014
High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach
Leonid Dovgilovich, Ivan Sofronov
We propose highly accurate finite-difference schemes for simulating wave propagation problems described by linear second-order hyperbolic equations. The schemes are based on the su…