Reduction equations

The paper explores the application of the Modal Truncation algorithm in Model Order Reduction, focusing on its effectiveness in reducing high-dimensional mathematical model. The algorithm identifies dominant modes governing dynamic responses, discards the high-order model, and reconstructs a new model with reduced dimensions.

6p viengfa 28-10-2024 5 2   Download

In this paper, we study the solvability analysis of arbitrarily high-order linear differential-algebraic equations (DAEs) with time-varying coefficients, using the algebraic-behavior approach. We propose a concept of strangeness-index and construct condensed forms for high-order linear DAEs.

14p vibenya 31-12-2024 5 2   Download

Balancing oxidation-reduction equations, oxidation-reduction reactions, voltaic cells, cell EMF, effect of concentration on cell EMF is the main content of the lecture "Chapter 20: Electrochemistry". Invite you to consult the detailed content lectures to capture details.

59p leminhuy 01-11-2015 42 4   Download

The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

27p larachdumlanat129 20-01-2021 32 3   Download

We prove the strong Macdonald conjecture of Hanlon and Feigin for reductive groups G. In a geometric reformulation, we show that the Dolbeault cohomology H q (X; Ωp ) of the loop Grassmannian X is freely generated by de Rham’s forms on the disk coupled to the indecomposables of H • (BG). Equating the two Euler characteristics gives an identity, independently known to Macdonald [M], which generalises Ramanujan’s 1 ψ1 sum. For simply laced root systems at level 1, we also find a ‘strong form’ of Bailey’s 4 ψ4 sum. ...

47p dontetvui 17-01-2013 65 8   Download