But nothing insures that a solution always exists for any set of equations you may choose to pose. vpasolve did not find one. Nor did solve. Solve just returned a result that effectively said the solution is the solution to the system of equations listed in the conditions. vpasolve tried,...
Papatavridi, J.G.: On the Boltzmann–Hamel equations of motion: a vectorial treatment. J. Appl. Mech. 61(2), 453–459 (1994) Article Google Scholar Baumgarte, J.: Stabilization of constraints and integrals of motion in dynamical systems. Comput. Methods Appl. Math. 1, 1–16 (1972...
Hybrid CPU–GPU implementation of ELBM for D3Q19 model As mentioned previously in Section 2, the ELBM implementation can be divided into three steps: solving relaxation parameter by H-α solver [22], which needs to satisfy the nonlinear equation Eq. (2). Collision in which the collision ope...
Unfortunately, this tool cannot be used with high-performance gradient-based optimization algorithms due to obfuscation of the underlying model equations. In this work, an optimization toolchain is presented that efficiently interfaces with MATLAB Simscape to reduce user effort and the necessary skill ...
The real and reactive power balancing equations at load bus, for example, must always be met (at least to a user-defined tolerance) in the OPF, as must the area region MW interchange limitations [108]. Inequality restrictions, on the other hand, may or may not be enforceable. A line ...
Mean squared error (MSE) and normalised MSE (NMSE) are commonly used to express the accuracy of channel estimation. The MSE and NMSE can be expressed as Equations (10) and (11), respectively: 𝑒MSE=𝔼[∥𝑮̂−𝑮∥2F]eMSE=EG^−GF2 (10) 𝑒NMSE=𝔼⎡⎣⎢⎢∥...
To construct the shortest tour of these vehicles, in a previous work, we formulated the multiple-vehicle bike sharing system routing problem (mBSSRP) and demonstrated that an optimal solution can be obtained for small-sized instances through a general-purpose mixed-integer linear programming solver....