A rigorous mathematical description is given in this paper, by which the four analysis methods in the network graph theory, such as node analysis, loop analysis, cut-set analysis and mesh analysis can be united by means of the Bott-Duffin generalized inverse of matrix.
This paper develops a new method for network analysis, called the compact modified nodal analysis,Comparing with the current modified nodal analysis(MNA),the method here requires less variables and no zero diagonal entries in the coefficient matrix are insolved.
Combing the Volterra series andCMNA (compacted modified nodal analysis) method to calculate the harmonicvoltages of the nodes of the model, and use the result to explain the nonlinearitycancellation phenomenon and to find the ways that can improve the linearity of themicrowave power SiGe HBTs.
In MDF the equation systems are formulated by using the nodal method, the ordinary differential equations are solved by the method of implicit-variable-step-size integration, the nonlinear algebraic systems are solved by the improved Newton-Raphson method and LU factorization.
Meshless analysis for three-dimensional elasticity with singular hybrid boundary node method
The singular hybrid boundary node method (SHBNM) is proposed for solving three-dimensional problems in linear elasticity.
Thus the uncertain scale factor taken in the regular hybrid boundary node method (RHBNM) can be avoided.
A major limitation in producing transgenic soybeans [Glycine max (L.) Merrill] using the Agrobacterium-mediated cotyledonary-node method is low-frequency T-DNA transfer from Agrobacterium tumefaciens into cotyledonary-node cells.
Improved cotyledonary node method using an alternative explant derived from mature seed for efficient Agrobacterium-mediated soy
A general algorithm for evaluating the cut-off frequencies of an arbitrarily shaped waveguide with arbitrary filling, has also been developed by using the diakoptic node analysis in electrical network theory.
Methodological questions in sentinel lymph node analysis in breast cancer patients
With regard to lymph node analysis, 11 out of 12 axillary metastases (sensitivity=91.6%) were detected.
It is concluded that ROLL and SLN can be employed simultaneously when dextran is used as a tracer; this technique allows frozen section diagnosis and intra-operative node analysis, and has many advantages over the conventional two-step procedure.
Using the combination rules: relaxances add in parallel, retardances add in series, the respondance functions for any given model can be found immediately by applying the methods of "node analysis" to the stress circuit diagram.
Mathematically, a system of circuit equations is constructed by nodal analysis in the frequency domain, and its solutions in the form of Volterra series are mapped into the time domain by numerical Laplace inversion.
The techniques used are those of factor analysis, nodal analysis, and cluster analysis.
A ROW type approach is considered for integral form DAEs arising in charge-oriented nodal analysis of digital networks.
Finally, nodal analysis confirmed that the PEP/pyruvate node is essentially rigid and that the glucose-6-phosphate, oxaloacetate and α-ketoglutarate nodes are flexible and therefore adaptable to changes in osmotic pressure in C.
A nodal analysis method for simulating the behavior of electrothermal microactuators
A modified polynomial nodal method of calculating the neutron flux-density distribution in nuclear reactors with a hexagonal fuel-assembly configuration is proposed, with solution of the diffusion equation in rectangular geometry.
High-Order Analytical Nodal Method for the Multigroup Diffusion Equations
We develop a high-order analytical nodal method for the multigroup diffusion equations.