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math.NA2025
Error estimates for semi-Lagrangian schemes with higher-order interpolation for conservation laws with dispersive terms
Haruki Takemura
We establish error estimates for semi-Lagrangian schemes for the initial value problem of one-dimensional conservation laws with a dispersive term, including the Korteweg--de Vries…
math.NA2025
Error estimates of fully semi-Lagrangian schemes for diffusive conservation laws
Haruki Takemura
We present error estimates of the fully semi-Lagrangian scheme with high-order interpolation operators, solving the initial value problems for the one-dimensional nonlinear diffusi…
math.NA2024
Error estimates of the cubic interpolated pseudo-particle scheme for one-dimensional advection equations
Takahito Kashiwabara, Haruki Takemura
Error estimates of cubic interpolated pseudo-particle scheme (CIP scheme) for the one-dimensional advection equation with periodic boundary conditions are presented. The CIP scheme…