Abstract: Abstract This paper introduces a new family of explicit and unconditionally stable algorithms for solving linear parabolic difference equations. The mathematical foundation is presented and it is shown how the algorithms can be implemented on scalar and vector processors. The performance is evaluated and compared to standard methods. It is demonstrated that some of the proposed algorithms are orders of magnitude more efficient than conventional schemes. The most efficient algorithm is employed to solve Schrodinger equations for problems includi...
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Topics: 
Algorithm
Applied mathematics