smyth_1998 ========== E\. S\. Smyth, J\. S\. Parker and K\. T\. Taylor, "Numerical integration of the time\-dependent Schrödinger equation for laser\-driven helium", Comput\. Phys\. Commun\. 114, 1 \(1998\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1016/s0010\-4655\(98\)00083\-6 `__ **Source kind:** theory **Recorded technique:** The numerical method of the HELIUM code \(used by parker\_2007 and parker\_2009\)\: the full\-dimensional two\-electron helium\-laser TDSE on a finite\-difference radial lattice with a coupled partial\-wave expansion, velocity gauge, an Arnoldi \(Krylov\) propagator of order 12\-18, a Gaussian absorbing mask, and a five\-point Laplacian with a boundary correction; parallel performance on Cray T3D and T3E \(pp\. 1\-13\)\. **Materials in structured entries:** None recorded. **Dataset quantities:** None recorded. **Contents:** 0 datasets; 0 formulas. Curation notes -------------- Pages are pdf pages \(1\-14 = pp\. 1\-14\)\. The library copy's identity is VALIDATED\_WITH\_WARNINGS\: the PDF prints only the PII S0010\-4655\(98\)00083\-6, and the DOI was found by bibliographic search\. WHY NOTHING IS TAKEN\. A methods paper\: no ionisation rate or yield is given\. The only physics output is Fig\. 2 \(p\. 7\), He\+ harmonic spectra at omega = 0\.235 au and 64 x 10^14 W/cm^2\. The tables are numerical tests\: Table 1 \(p\. 9\), the He\+ ground\-state energy against the grid spacing \(0\.5\-0\.06 bohr\) with and without the boundary correction C = \-exp\(2 Z delta r\) \(\-2\.00002 au at 0\.06 bohr with it\); Table 2 \(p\. 10\), the He ground\-state energy against the grid spacing and the number of terms of the 1/r12 expansion \(at delta r = 0\.3333 the N = 6 and N = 7 entries, \-2\.93457 and \-2\.93447, break the monotonic trend of every other column\: a probable misprint, not used\); Tables 3\-5 \(pp\. 13\-14\), execution times\. \(The library's table labels in paper\.md are shifted\: Table 1 is unlabelled, Table 3 labelled 'Table 4'\.\) TEXT VALUES \(not taken\)\: 'The true value is \-2\.9037 a\.u\.' for the He ground state \(p\. 8\), 'the established nonrelativistic limit of \-2\.9037 a\.u\.' \(p\. 9, uncited\), with the He\+ ground state \-2\.00 au\: an implied first ionisation energy of 0\.9037 au, which parker\_2007 uses as 0\.903724 au; the lattice gives \-2\.93 au with the boundary correction and \-2\.51 au without \(p\. 8\)\. l\_max = 7 suffices up to about 1\.6e15 W/cm^2 and l\_max = 9 \(385 partial waves\) up to 3\.2e15 W/cm^2 \(pp\. 2\-3\)\. On p\. 2 the speed\-up of the worked example is printed '10^6/6' where the step ratio 0\.1/10^\-6 gives 10^5/6\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- No datasets are recorded. Formulas -------- No formulas are recorded. Corrections ----------- No dataset errata are recorded in this source record. Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the :doc:`review register ` for the checks and decisions.