Results 91 to 100 of about 19,301 (215)

On the reduction of the multidimensional Schroedinger equation to a first order equation and its relation to the pseudoanalytic function theory

, 2004
Given a particular solution of a one-dimensional stationary Schroedinger equation (SE) this equation of second order can be reduced to a first order linear differential equation. This is done with the aid of an auxiliary Riccati equation.
Begehr H, Bernstein S, Bernstein S, Bers L, Bers L, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Lakhtakia A, Tutschke W, Vekua I N, Vladislav V Kravchenko   +14 more
core   +1 more source

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT Model reduction is an active research field to construct low‐dimensional surrogate models of high fidelity to accelerate engineering design cycles. In this work, we investigate model reduction for linear structured systems using dominant reachable and observable subspaces.
Celine Reddig, Pawan Goyal, Igor Pontes Duff, Peter Benner   +3 more
wiley   +1 more source

A Note on the Riccati Differential Equation

Journal of Mathematical Analysis and Applications, 1995
The author treats the Riccati differential equation \[ w'= a(z)+ b(z) w+ c(z) w^ 2,\tag{1} \] where \(z\), \(w\) are complex variables and \(a(z)\), \(b(z)\) and \(c(z)\) are meromorphic on the whole \(z\)-plane. It is known that by a suitable transformation (1) can be transformed into the form (2) \(w'= A(z)+ w^ 2\), where \(A(z)\) is meromorphic on ...
openaire   +1 more source

Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets

International Journal of Robust and Nonlinear Control, Volume 36, Issue 1, Page 428-438, 10 January 2026.
ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley   +1 more source

Riccati-parameter solutions of nonlinear second-order ODEs

, 2008
It has been proven by Rosu and Cornejo-Perez in 2005 that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order differential operators. Here,
Berkovich L M, Chandrasekar V K, H C Rosu, Hereman W, Iacono R, M A Reyes, Schönborn O   +6 more
core   +2 more sources

Isotropic stars in general relativity

, 2013
We present a general solution of the Einstein gravitational field equations for the static spherically symmetric gravitational interior spacetime of an isotropic fluid sphere.
Harko, T., Mak, M. K.
core   +1 more source

The Riccati Differential Equation and a Diffusion-Type Equation

, 2008
12 pages, no ...
Suazo, Erwin, Suslov, Sergei K., Vega-Guzmán, José M.   +2 more
openaire   +3 more sources

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj   +1 more source

Convergence of Galerkin approximations for operator Riccati equations: A nonlinear evolution equation approach [PDF]

An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space.
Rosen, I. G.
core   +1 more source

Riccati Differential Equations [PDF]

Journal of Dynamic Systems, Measurement, and Control, 1975
William T. Reid, David Jordan
openaire   +1 more source