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The stationary states in a Coulomb potential and uniform magnetic field are determined analytically and numerically, so that they can used as initial conditions in fully time dependent calculations.
The problem formulation and its variational reformulation are given in Section 2. Discretization, including space semi-discretization and fully time space discretization, is considered in Section 3. The Section 4 is devoted to a priori error analysis.
The general, fully time and state dependant model was initially tested for goodness-of-fit (GOF) with program U-CARE 2.2 [56] and the estimated overdispersion coefficient was used to adjust model results and convert AICc values to quasi-AICc (QAICc) values.
For example, the 6-hr delay in LD should cause a clockwise shift in orientation of 72° to 120°, relative to the non-shifted LD group, if flight direction is fully time compensated; the degree of the shift expected depends on how rapidly the sun's azimuth varies during the time of day the studies were performed, which was 12° to 20° per hour for the current studies.
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To further improve scalability beyond multi-threading, we propose a fully time-parallel sound synthesis method that is demonstrated on commodity cloud computing resources.
In a second step, this numerical model is interfaced with a global fully time-dependent modelling of heat transfer in the furnace.
The present study proposes an innovative, comprehensive and fully time-dependent probabilistic seismic risk framework, to evaluate the expected average annual loss for stocks of deteriorating bridge structures.
Then the differential equations, given as a coupled pair of time-dependent and time-independent equations, are altered to a fully time-dependent form, without loss of accuracy, but with much greater amenability to an efficient numerical solution method.
A numerical study is conducted in two dimensions that compares the intensity gain of the fully time-dependent coupled mode system with the gain computed under the further assumption of a strongly damped ion acoustic response.
A fully time-dependent cosmic ray modulation model based on the numerical solution of Parker's transport equation is used to study the amount of particle drifts needed to explain the observed 1.2 GV electron to Helium ratio at Earth and the 2.5 GV electron to proton ratio (e/p) observed by the KET instrument on the Ulysses spacecraft.
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