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math.NA2025★ 36 cited
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés +1
In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutio…
math.NA2025★ 22 cited
Approximate Taylor methods for ODEs
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than…