2 papers
math.NA2011
Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac δ-function
Volodymyr Makarov, Nataliya Rossokhata, Denis Dragunov
In the paper we present a functional-discrete method for solving Sturm-Liouville problems with potential including function from L_{1}(0,1) and δ-function. For both, linear and non…
math.NA2011
Exponentially convergent functional-discrete method for eigenvalue transmission problems with discontinuous flux and potential as a function in the space
Volodymyr Makarov, Nataliya Rossokhata, Denis Dragunov
Based on the functional-discrete technique (FD-method), an algorithm for eigenvalue transmission problems with discontinuous flux and integrable potential is developed. The case of…