Horizontal Method of Lines (HMOL) (also known as Rothes method (Rothe (1930), Ladyenskaja, Solonnikov and Uralceva (1988)):
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Horizontal Method of Lines (HMOL) (also known as Rothe’s method (Rothe (1930), Ladyženskaja, Solonnikov and Ural’ceva (1988)): discretise the PDE in time and keep space continuous. This results in a second-order two-point boundary problem in space. We do not discuss Rothe’s method in this book. A good discussion for finance is given in Meyer (2015).
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