203 citations · 347 across the 14 of their papers we have counts for
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math.NA2006★ 2 cited
On the global error committed when evaluating the Evans function numerically
Jitse Niesen
The Evans function is a tool for assessing the stability of travelling wave solutions for partial differential equations. A recent paper (math.NA/0605581) analyzes the order reduct…
math.CA2006★ 69 cited
Convergence of the Magnus series
Per Christian Moan, Jitse Niesen
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals…
math.NA2006★ 12 cited
Evaluating the Evans function: Order reduction in numerical methods
Simon Malham, Jitse Niesen
We consider the numerical evaluation of the Evans function, a Wronskian-like determinant that arises in the study of the stability of travelling waves. Constructing the Evans funct…