An immersed interface method for nonlinear convection–diffusion equations with interfaces

This paper provides an initial framework for developing high-order numerical methods to solve interface problems for nonlinear elliptic partial differential equations. The proposed formulation is based on the immersed interface method dealing with a discontinuous coefficient problem. The algorithm i...

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Bibliographic Details
Main Authors: Miguel Uh Zapata, Reymundo Itza Balam, Silvia Jerez
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818125001779
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