„… the mathematical model of the system, Gröbner bases are used to find the number of possible solutions …” „… shown how the insight of the resulting solutions can be used in order to significantly reduce the …” „… solution variety. Those results are crucial for subsequent bone motion reconstruction in 3D ensuring a …”

„… (p,T) are therefore possible without any iteration. However, the analytical solution for v(p,T …” „… numerically consistent inverse functions. However, the analytical solution of third or higher order …” „… describe the liquid phase and the vapor phase independently. In process simulations, the solution of mass …”

„… functions, the analytical solution of bicubic polynomials is computationally much more expensive than that …”

„… discretization of the nozzle geometry and the solution scheme are described in [73]. At the inlet, the total …” „… ), the solution of the balance equations of mass, momentum, and total energy requires fluid property …” „… property library LibSBTL_vu_95 [84]. An overview of calculable functions and analytical derivatives is …”

„… . The transformation functions are continuous and monotonic. An analytic solution for the inverse …” „… transformation function 1 1( )x x should also be analytical. The effect of variable transformations is …” „… . Non-monotonic functions have two valid solutions in the interval {i} where the extremum of SPL 1z x is …”

„… . Section 3: Metals Test Methods and Analytical Procedures, Volume 3.01, Metals – Mechanical Testing …” „… Standards 2009. Section 3: Metals Test Methods and Analytical Procedures, Volume 3.01, Metals – Mechanical …” „… : Questions and solutions for isotropic and graded materials. In: Proceedings of 13th International Conference …”

„… limiting productivity of machine tools. Tuned mass dampers are low-cost solutions for stabilizing the …” „… machining process. This paper presents an optimized approach for analytical layout of tuned mass dampers for …” „… absorbers for chatter suppression: A new analytical tuning methodology. Journal of Sound and Vibration 301 …”

„… the analytical solution of this example. As it is shown, the convergence rate of the FCM is …” „… 2.6: The FCM results (red) as compared to the analytical solution (black). 20 2 Finite cell method for …” „… element method is a successful numerical approach when trying to find a solution (usually an approximate …”

„… curves are the analytical solution. 4.2 Local refinement and adaptivity 75 10-4 10-3 10-2 10-1 100 101 …” „… the enriched FCM employing PUM of order pe = 2 (red) as compared to the analytical solution (black …” „… situations where the solution is smooth everywhere except at some specific and limited locations, i.e. there …”