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In this paper we present numerical modeling results for endcap and linear iontraps, used for experiments at the National Physical Laboratory in the UK andInnsbruck University respectively. The secular frequencies for Strontium-88 andCalcium-40 ions were calculated from ion trajectories, simulated usingboundary-element and finite-difference numerical methods. The results werecompared against experimental measurements. Both numerical methods showed highaccuracy with boundary-element method being more accurate. Such simulations canbe useful tools for designing new traps and trap arrays. They can also be usedfor obtaining precise trapping parameters for desired ion control when noanalytical approach is possible as well as for investigating the ion heatingrates due to thermal electronic noise.Comment: 6 pages, 5 figures, changes made to the text according to the  editor's and referee's comment

High-fidelity simulations of ion trajectories in miniature ion traps using the boundary-element method