Overview of the QTT compression of the storage needed for solutions (maximum throughout the time stepping) and CME operators.

For details on “truncated solution” see Numerical experiments. Common details. Solution in the Direct Approach is the number of states taken into account in the FSP, which is equal to the number of entries, , in the solution vector. For the CME operator, is , the number of entries in the matrix. In the Proposed QTT Approach, ratio indicates the memory storage compression ratio, i.e. the ratio of in the Proposed QTT Approach to that in the Direct Approach. In the sparse representation of the CME operator the number of nonzero entries would be rather than . The exponents are given in boldface for the base .