Two numerical examples demonstrate the accuracy and efficiency of our approach: inversion of an integral equation in atmospheric remote sensing, where the data dimension is very high; and the inference of a heterogeneous transmissivity field in a groundwater system, which involves a partial differential equation forward model with high dimensional state and parameters.
In differential thermodynamic forward modeling, three types of equations (i.e., those with thermodynamic equilibrium, stoichiometric, and mass-balance constraints) are expressed in total differential form (Spear 1993).
In a previous study (Kuwatani et al. 2011), differential thermodynamic forward modeling of dehydration reactions was formulated with the assumption of global equilibrium.
Our own recently published data suggest that there may be complex, potentially sex-differential, feed-forward influences of nutritional interventions in childhood on the subsequent timing of peak height velocity and growth cessation that require further study (18).
Two main classes of air-cushion vehicles exist: those that generate their own pressure differential irrespective of forward speed; and those, more closely related to true aircraft, that require forward speed before the pressure differential can be generated.
Analytical solution of the probability transition matrix is obtained by solving the Kolmogorov forward differential equation.
This paper proposes a novel voltage predictive based MPC strategy, which combines the ac-side current and circulating current control by using forward differential voltage prediction and nearest level approximation.
The gas-flow reduction factor of the second forward Differential Pumping Section (DPS2-F) for the KATRIN experiment was determined using a dedicated vacuum-measurement setup and by detailed molecular-flow simulation of the DPS2-F beam tube and of the measurement apparatus.
Furthermore, high differential capacitance under forward bias, bit error rate (BER) requirements requesting a proportional power increase with the speed increase and the related high power consumption are limiting factors for the performance and competitiveness.
He demonstrated that any count distribution can be obtained by a suitable choice of f λ (x, t) and provided an expression for the system of Kolmogorov forward differential equations in terms of a matrix-exponential function.
