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Artykuły w czasopismach na temat „Region of Absolute Stability”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Mustafa, A., and M. M. Hamza. "Convergence Analysis of A- Stable Implicit Runge- Kutta Methods of Reformulated Block Hybrid Multistep Methods." Continental J. Applied Sciences 12, no. 2 (2017): 33–46. https://doi.org/10.5281/zenodo.801635.

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A number of techniques and solvers have been suggested, developed, and described, but a clear definition of stiffness has not been provided. In this paper, an analysis of the A-stable implicit Runge-Kutta methods is undertaken using stability function and the region of absolute stability, which shows region of each of the methods. Also to compare various stiff solvers based on their region of absolute stability. It helps a stiff ordinary differential equation solver, to identify appropriate numerical methods with unbounded region of absolute, appropriate for stiff problems solving.

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2

Voronov, A. A. "On the Absolute Stability Criteria Improving and Absolute Stability Regions Construction." IFAC Proceedings Volumes 22, no. 3 (1989): 219–23. http://dx.doi.org/10.1016/s1474-6670(17)53637-x.

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Barkin, A. I. "Systems with a switch and estimation of absolute stability region." Automation and Remote Control 70, no. 6 (2009): 1080–85. http://dx.doi.org/10.1134/s0005117909060137.

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K., Olumurewa O. "A Study on Convergence and Region of Absolute Stability of Implicit Two – Step Multiderivative Method for Solving Stiff Initial Value Problems of First Order Ordinary Differential Equations." International Journal of Research and Innovation in Applied Science IX, no. III (2024): 134–47. http://dx.doi.org/10.51584/ijrias.2024.90315.

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This study investigated and related the convergence and region of absolute stability of an implicit two - step multiderivative method, used in solving sampled stiff initial value problem of first order ordinary differential equation. It adopted the general implicit multiderivative linear multistep method at step - number (k) = 2 with derivative order (l) varied from 1 - 6 to develop six different variants of the method. Boundary locus method was adopted to determine the intervals of absolute stability which were plotted on the complex plane to show the regions of absolute stability. The varian

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5

Abubakar, Umaru Fotta, and Abubakar Abubakar Ahmad. "Development of Hybrid Block Integrator for the Numerical solution of Stiff and Oscillatory Differential Equations for first order Ordinary Differential Equations." GPH - International Journal of Mathematics 06, no. 12 (2024): 01–11. https://doi.org/10.5281/zenodo.10522017.

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<strong>This paper discussed the development of a new numerical hybrid block integrator for the numerical solution of stiff and oscillatory differential equations for first order ordinary differential equations. The method of interpolation and collocation at some selected grid point to generate the continuous scheme was adopted. The research also investigates the consistency, convergence, zero-stability and region of absolute stability of the integrator using matlab and the integrator was tested on some numerical experiments for comparism. The analysis of the method showed that the method is Z

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6

Fang, Yonglei, Xiong You, and Zhaoxia Chen. "New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies." Abstract and Applied Analysis 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/742585.

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Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods.

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7

Bra´s, Michal, and Angelamaria Cardone. "CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS." Mathematical Modelling and Analysis 17, no. 2 (2012): 171–89. http://dx.doi.org/10.3846/13926292.2012.655789.

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This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region. After satisfying order and inherent quadratic stability conditions, the remaining free parameters are used to find the methods with large area of region of absolute stability. Examples of methods with p = q + 1 = s = r and p = q = s = r - 1 up to order 6 are given.

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8

Séka, Hippolyte, and Kouassi Richard Assui. "ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION." Ural Mathematical Journal 5, no. 2 (2019): 64. http://dx.doi.org/10.15826/umj.2019.2.006.

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In this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods.

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9

Fuster, D., J. P. Matas, S. Marty, et al. "Instability regimes in the primary breakup region of planar coflowing sheets." Journal of Fluid Mechanics 736 (November 1, 2013): 150–76. http://dx.doi.org/10.1017/jfm.2013.536.

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AbstractThis article investigates the appearance of instabilities in two planar coflowing fluid sheets with different densities and viscosities via experiments, numerical simulation and linear stability analysis. At low dynamic pressure ratios a convective instability is shown to appear for which the frequency of the waves in the primary atomization region is influenced by both liquid and gas velocities. For large dynamic pressure ratios an asymptotic regime is obtained in which frequency is solely controlled by gas velocity and the instability becomes absolute. The transition from convective

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10

Busłowicz, M., and A. Ruszewski. "Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 4 (2013): 779–86. http://dx.doi.org/10.2478/bpasts-2013-0084.

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Abstract In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems are addressed. Necessary and sufficient conditions for practical stability and for asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix of the system. In particular, it is shown that (similarly as in the case of fractional continuous-time linear systems) in the complex plane exists such a region, that location of all eigenvalues of the state matrix in this region is necessary and sufficient for asymptotic stability.

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11

Abdulazeez, Sikiru Adeyinka. "A Statistical Modeling Approach of Examining Hypertension-Related Risk Factors in Adults." KASU JOURNAL OF MATHEMATICAL SCIENCES 4, no. 2 (2023): 46–56. https://doi.org/10.5281/zenodo.10648623.

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<strong>Abstract</strong> Due to severe step size restriction, it becomes absolutely necessary that only methods with large regions of absolute stability remain suitable for stiff equations. In this paper, the continuous Block one-step embedded numerical integrator of order 4 and order 5 have been constructed. The continuous scheme was evaluated at different points to obtain discrete schemes. The order, error constant, zero stability and consistency of the resulting discrete schemes were ascertained. The region of absolute stability of the block hybrid scheme was plotted. Their accuracy and st

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12

Wang, Xianbin, Weifeng Li, Fugang Zhang, Zexuan Li, and Wenlong Bao. "Research on the Vehicle Steering and Braking Stability Region." Applied Sciences 13, no. 13 (2023): 7806. http://dx.doi.org/10.3390/app13137806.

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Solving the stability region in the plane motion of vehicles has become a hot research topic in vehicle handling stability under extreme conditions, but there is still a lack of research on the stability region under steering and braking conditions. In this paper, a five-degree-of-freedom (5DOF) nonlinear dynamic model of a vehicle with braking torque introduced is established, and the model is transformed into an equivalent system by using the D’Alembert principle. Then, the equilibrium points of the equivalent system are solved by using an improved hybrid algorithm combining the genetic algo

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13

Berdnikov, V. P., and V. M. Lohin. "Calculation of absolute stability regions for time-varying electromechanical systems." Journal of Physics: Conference Series 803 (January 2017): 012020. http://dx.doi.org/10.1088/1742-6596/803/1/012020.

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14

Liu, Wu-Man, and Cha’o-Kuang Chen. "Stability Analysis of Thin Power-Law Fluid Film Flowing down a Moving Plane in a Vertical Direction." Fluids 7, no. 5 (2022): 167. http://dx.doi.org/10.3390/fluids7050167.

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This paper analyses the stability of thin power-law fluid flowing down a moving plane in a vertical direction by using the long-wave perturbation method. Linear and nonlinear stability are discussed. The linear stable region increases as the downward speed increases and the power-law index increases. More accurate results are obtained on the coefficients of the nonlinear generalized kinematic equation in the power-law part. The regions of sub-critical instability and absolute stability are expanded when the downward movement of plane increases, or the power-law index increases, and meanwhile t

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15

PIER, BENOÎT. "Local and global instabilities in the wake of a sphere." Journal of Fluid Mechanics 603 (April 30, 2008): 39–61. http://dx.doi.org/10.1017/s0022112008000736.

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The global dynamics of open shear flows is closely related to the nature of their local instability characteristics, either convective or absolute. The present investigation revisits the wake of a sphere, obtains its global behaviour by direct numerical simulations and derives its local stability features, computed for the underlying basic flow under a quasi-parallel flow assumption. It is shown that both the axisymmetric and the planar symmetric basic flows exhibit domains of local absolute instability in the near-wake region. The largest absolute growth rates occur for instabilities developi

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16

MORESCO, P., and J. J. HEALEY. "Spatio–temporal instability in mixed convection boundary layers." Journal of Fluid Mechanics 402 (January 10, 2000): 89–107. http://dx.doi.org/10.1017/s002211209900676x.

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In this work we analyse the stability properties of the flow over an isothermal, semi-infinite vertical plate, placed at zero incidence to an otherwise uniform stream at a different temperature. Near the leading edge the boundary layer resembles Blasius flow, but further downstream it approaches that of pure buoyancy-driven flow. A coordinate transformation that describes in a smooth way the evolution between these two limiting similarity states, where the viscous and buoyancy forces are respectively dominant, is used to calculate the basic flow. The stability of this flow has been investigate

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17

HERRADA, M. A., J. M. MONTANERO, C. FERRERA, and A. M. GAÑÁN-CALVO. "Analysis of the dripping–jetting transition in compound capillary jets." Journal of Fluid Mechanics 649 (April 13, 2010): 523–36. http://dx.doi.org/10.1017/s0022112010000443.

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We examine the behaviour of a compound capillary jet from the spatio-temporal linear stability analysis of the Navier–Stokes equations. We map the jetting–dripping transition in the parameter space by calculating the Weber numbers for which the convective/absolute instability transition occurs. If the remaining dimensionless parameters are set, there are two critical Weber numbers that verify Brigg's pinch criterion. The region of absolute (convective) instability corresponds to Weber numbers smaller (larger) than the highest value of those two Weber numbers. The stability map is affected sign

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18

Qadri, Ubaid Ali, Dhiren Mistry, and Matthew P. Juniper. "Structural sensitivity of spiral vortex breakdown." Journal of Fluid Mechanics 720 (February 27, 2013): 558–81. http://dx.doi.org/10.1017/jfm.2013.34.

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AbstractPrevious numerical simulations have shown that vortex breakdown starts with the formation of a steady axisymmetric bubble and that an unsteady spiralling mode then develops on top of this. We investigate this spiral mode with a linear global stability analysis around the steady bubble and its wake. We obtain the linear direct and adjoint global modes of the linearized Navier–Stokes equations and overlap these to obtain the structural sensitivity of the spiral mode, which identifies the wavemaker region. We also identify regions of absolute instability with a local stability analysis. A

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19

Däumling, M., R. Maad, A. Jeremie, and R. Flükiger. "Phase coexistence and critical temperatures of the (Bi, Pb)2Sr2Ca2Cu3Ox phase under partial pressures of oxygen between 10−3 and 0.21 bar with and without additions of silver." Journal of Materials Research 12, no. 6 (1997): 1445–50. http://dx.doi.org/10.1557/jmr.1997.0198.

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We have investigated the stability of the (Bi, Pb)2Sr2Ca2Cu3Ox phase for the stoichiometry (Bi: Pb: Sr:Ca: Cu = 1.72: 0.34: 1.83: 1.97: 3.13), subjecting it to temperatures between 700 and 850 °C under various oxygen partial pressures. A narrow region was found in which Bi, Pb(2223) was the only superconducting phase. This region follows closely the thermal decomposition line. X-ray pure Bi, Pb(2223) will partially decompose if treated outside of the stability region. For a given oxygen partial pressure, the Bi, Pb(2223) phase tends to coexist with the 2201 phase for temperatures above, and th

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20

Shao, Da, Sichuan Xu, and Aimin Du. "Absolute stability analysis of nonlinear active disturbance rejection control for electromagnetic valve actuator system via linear matrix inequality method." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 232, no. 9 (2018): 1134–45. http://dx.doi.org/10.1177/0959651818775900.

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Nonlinear active disturbance rejection control is much more effective than linear active disturbance rejection control in tolerance to uncertainties and disturbances. However, it brings a great challenge for theoretical analysis, especially the stability analysis. This article proposes a linear matrix inequality method to analyze the absolute stability of generalized nonlinear active disturbance rejection control form which contains multiple nonlinearities with different parameters in both extended state observer and control law for single-input single-output systems. The generalized nonlinear

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21

HODYSS, DANIEL, and TERRENCE R. NATHAN. "The role of forcing in the local stability of stationary long waves. Part 1. Linear dynamics." Journal of Fluid Mechanics 576 (March 28, 2007): 349–76. http://dx.doi.org/10.1017/s0022112006004307.

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The local linear stability of forced, stationary long waves produced by topography or potential vorticity (PV) sources is examined using a quasi-geostrophic barotropic model. A multiple scale analysis yields coupled equations for the background stationary wave and low-frequency (LF) disturbance field. Forcing structures for which the LF dynamics are Hamiltonian are shown to yield conservation laws that provide necessary conditions for instability and a constraint on the LF structures that can develop. Explicit knowledge of the forcings that produce the stationary waves is shown to be crucial t

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22

Monkewitz, Peter A., Patrick Huerre, and Jean-Marc Chomaz. "Global linear stability analysis of weakly non-parallel shear flows." Journal of Fluid Mechanics 251 (June 1993): 1–20. http://dx.doi.org/10.1017/s0022112093003313.

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The global linear stability of incompressible, two-dimensional shear flows is investigated under the assumptions that far-field pressure feedback between distant points in the flow field is negligible and that the basic flow is only weakly non-parallel, i.e. that its streamwise development is slow on the scale of a typical instability wavelength. This implies the general study of the temporal evolution of global modes, which are time-harmonic solutions of the linear disturbance equations, subject to homogeneous boundary conditions in all space directions. Flow domains of both doubly infinite a

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23

Christopher, Esekhaigbe Aigbedion, and Okodugha Edward. "APPLICATION OF MAPLE PROGRAM AND MATLAB CODE ON THE STABILITY ANALYSIS OF AN EXPLICIT FOURTH-STAGE SECOND-ORDER RUNGE-KUTTA METHOD." Journal of Advance Research in Mathematics And Statistics (ISSN 2208-2409) 10, no. 1 (2023): 5–8. http://dx.doi.org/10.61841/mwkhyj96.

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The essence of this paper is to analyze the stability of a derived explicit fourth-stage second-order Runge-Kutta methodusing MAPLE PROGRAM and MATLAB CODE. The property of stability is essential and necessary requirement for anynumerical method to be termed reliable. The analysis revealed that the method is absolutely stable. The test equation was applied on the method and a polynomial equation was generated. The MAPLE program was used to resolve thepolynomial equation resulting to sets of real and complex roots. The MATLAB code was used to plot the stability curvewhich shows the region of ab

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24

Chakravarthy, R. V. K., L. Lesshafft, and P. Huerre. "Local linear stability of laminar axisymmetric plumes." Journal of Fluid Mechanics 780 (September 4, 2015): 344–69. http://dx.doi.org/10.1017/jfm.2015.478.

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The temporal and spatiotemporal stability of thermal plumes is investigated for laminar velocity and temperature profiles, under the Boussinesq approximation, in the far self-similar region as well as in the region close to a finite-size inlet. In the self-similar case, Prandtl and Grashof numbers are systematically varied, and azimuthal wavenumbers $m=0$, 1 and 2 are considered. In the temporal analysis, helical modes of $m=1$ are found to be dominant throughout the unstable parameter space, with few exceptions. Axisymmetric modes typically present smaller growth rates, but they may dominate

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25

Baidakov, V. G. "Limiting supersaturation of 3He–4He solutions at temperatures close to absolute zero." Low Temperature Physics 20, no. 12 (1994): 971–74. https://doi.org/10.1063/10.0033742.

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The kinetics of homogeneous nucleation in supersaturated 3He–4He superfluid solutions is considered in the region of transition from termally activated nucleation to under-the-barrier quantum tunneling of nuclei. The stability boundary of the metastable superfluid phase relative to infinitely small perturbations of the composition (diffusion spinodal) is approximated. The applicability of some approximations in the theory of homogeneous nucleation is assessed near absolute zero. Limiting supersaturation of 3He–4He solutions is calculated. The kinetics of thermally activated and quantum nucleat

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26

Ramazani, Paria, Ali Abdi, Gholamreza Hojjati, and Afsaneh Moradi. "Explicit Nordsieck second derivative general linear methods for ODEs." ANZIAM Journal 64 (June 28, 2022): 69–88. http://dx.doi.org/10.21914/anziamj.v64.16949.

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The paper deals with the construction of explicit Nordsieck second derivative general linear methods with \(s\) stages of order \(p\) with \(p=s\) and high stage order \(q=p\) with inherent Runge–Kutta or quadratic stability properties. Satisfying the order and stage order conditions together with inherent stability conditions leads to methods with some free parameters, which will be used to obtain methods with a large region of absolute stability. Examples of methods with \(r\) external stages and \(p=q=s=r-1\) up to order five are given, and numerical experiments in a fixed stepsize environm

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27

NICHOLS, JOSEPH W., PETER J. SCHMID, and JAMES J. RILEY. "Self-sustained oscillations in variable-density round jets." Journal of Fluid Mechanics 582 (June 14, 2007): 341–76. http://dx.doi.org/10.1017/s0022112007005903.

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The stability properties of round variable-density low-Mach-number jets are studied by means of direct numerical simulation (DNS) and linear stability analysis. Fully three-dimensional DNS of variable-density jets, with and without gravity, demonstrate that the presence of buoyancy causes a more abrupt transition to turbulence. This effect helps to explain differences between normal gravity and microgravity jet diffusion flames observed in the laboratory.The complete spectrum of spatial eigenmodes of the linearized low-Mach-number equations is calculated using a global matrix method. Also, an

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28

JONES, L. E., R. D. SANDBERG, and N. D. SANDHAM. "Direct numerical simulations of forced and unforced separation bubbles on an airfoil at incidence." Journal of Fluid Mechanics 602 (April 25, 2008): 175–207. http://dx.doi.org/10.1017/s0022112008000864.

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Direct numerical simulations (DNS) of laminar separation bubbles on a NACA-0012 airfoil at Rec=5×104 and incidence 5° are presented. Initially volume forcing is introduced in order to promote transition to turbulence. After obtaining sufficient data from this forced case, the explicitly added disturbances are removed and the simulation run further. With no forcing the turbulence is observed to self-sustain, with increased turbulence intensity in the reattachment region. A comparison of the forced and unforced cases shows that the forcing improves the aerodynamic performance whilst requiring li

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29

Swain, Rajkishore, and Umesh Chandra Mishra. "Frequency Stability of Multi-source Power System using Whale Optimization Algorithm." International Journal of Electrical and Electronics Research 11, no. 4 (2023): 1240–49. http://dx.doi.org/10.37391/ijeer.110446.

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The Whale Optimization Algorithm (WOA), an evolutionary computing approach, is presented in this study and is used to auto regulated frequency of many composed power systems including thermoelectric power station, hydroelectric, and gas power plants. The purpose of this process follows the concept of a hunting mechanism of fish through water bubbles. The WOA is first applied to a single region with a multi-source power system for optimal gain adjustment of proportional integral controllers (PID). This approach is then applied to two areas, each having six generating sources with AC and AC-DC l

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HU, JUN, BING-HONG ZHOU, YI-HONG HANG, QIU-SHENG LIU, and SHU-DAO ZHANG. "Linear spatio-temporal instability analysis of ice growth under a falling water film." Journal of Fluid Mechanics 649 (April 13, 2010): 453–66. http://dx.doi.org/10.1017/s002211201000025x.

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A linear spatio-temporal stability analysis is conducted for the ice growth under a falling water film along an inclined ice plane. The full system of linear stability equations is solved by using the Chebyshev collocation method. By plotting the boundary curve between the linear absolute and convective instabilities (AI/CI) of the ice mode in the parameter plane of the Reynolds number and incline angle, it is found that the linear absolute instability exists and occurs above a minimum Reynolds number and below a maximum inclined angle. Furthermore, by plotting the critical Reynolds number cur

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31

Yukhnovskyi, V., and O. Zibtseva. "Dynamics of ecological stability of small towns in Kyiv region." Journal of Geology, Geography and Geoecology 27, no. 2 (2018): 386–98. http://dx.doi.org/10.15421/111863.

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The purpose of this study is to provide a comprehensive assessment and comparative analysis of the ecological balance of territories of the three key smalltowns in Kyiv region: Boyarka, Vyshneve and Irpin, as well as tracking the dynamics of ecological stability of the towns` territories in the system of general planning. The following indicators of anthropogenic transformation and natural protection of urban areas were calculatedaccording to known methodsbased on data available from the towns` new Master Plans: coefficients of anthro- pogenic impact, anthropogenic transformation, nature prote

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Belyaev, A. K., O. R. Polyakova, and T. P. Tovstik. "DYNAMICS AND STABILITY OF KAPITSA'S TWO-LINK PENDULUM." PNRPU Mechanics Bulletin, no. 2 (December 15, 2023): 78–87. http://dx.doi.org/10.15593/perm.mech/2023.2.07.

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The object of study. The upper upward position of the pendulum subjected to vibration of the pendulum base is known to be stable for some parameters of the base vibration. The research is devoted to dynamics of the model of a two-link inverted pendulum in a general nonlinear formulation. The goal. The boundaries of the parameters of a given base vibration, under which the inverted mode is stable, are assumed to be known. The goal is to find the regions of the initial conditions of the problem, namely, the initial non-small angles of deviation of the pendulum links from the vertical that result

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N.S., Yakusak, and Adeniyi R.B. "Hybrid Falkner - Type Block Methods for Solution of Second Order Boundary Value Problems." African Journal of Mathematics and Statistics Studies 5, no. 1 (2022): 67–81. http://dx.doi.org/10.52589/ajmss-i01pyja7.

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Hybrid Falkner-type block methods for the general solution of second-order boundary value problem of second-order ordinary differential equations is developed base on collocation and interpolation approach and implemented as block. The resulting scheme is zero-stable, consistent and convergent with a good region of absolute stability. The tabular and graphical presentations of the numerical results to the problems considered demonstrate the effectiveness and good accuracy of the scheme in comparison with other methods.

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Cheng, P. J., and H. Y. Lai. "Nonlinear Stability Analysis of Thin Film Flow from a Liquid Jet Impinging on a Circular Concentric Disk." Journal of Mechanics 22, no. 2 (2006): 115–24. http://dx.doi.org/10.1017/s172771910000441x.

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AbstractThe paper investigates the stability of thin film flow from a liquid jet impinging on a circular concentric disk using a long-wave perturbation method to solve for the generalized nonlinear kinematic equations of free film interface. To begin with a normal mode approach is employed to obtain the linear stability solution for the film flow. In the linear stability solutions only subcritical region can be resolved. In other words, no solution of supercritical region can be obtained in linear domain. Furthermore, the role that the forces of gravitation and surface tension play in the flow

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35

Starosolski, Z., J. Polańska, M. Groen, and A. Polański. "Estimating Regions of Absolute Stability with the Use of Piecewise Linear Lyapunov Functions." European Journal of Control 10, no. 6 (2004): 547–56. http://dx.doi.org/10.3166/ejc.10.547-556.

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Chollom, J., and Z. Jackiewicz. "Construction of two-step Runge–Kutta methods with large regions of absolute stability." Journal of Computational and Applied Mathematics 157, no. 1 (2003): 125–37. http://dx.doi.org/10.1016/s0377-0427(03)00382-0.

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Ketcheson, David, Lajos Lóczi, and Tihamér A. Kocsis. "On the absolute stability regions corresponding to partial sums of the exponential function." IMA Journal of Numerical Analysis 35, no. 3 (2014): 1426–55. http://dx.doi.org/10.1093/imanum/dru039.

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Malkina, Marina Yu. "Assessment of resilient development of the regional economies based on Mahalanobis distances." Terra Economicus 18, no. 3 (2020): 140–59. http://dx.doi.org/10.18522/2073-6606-2020-18-3-140-159.

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The purpose of this study is to assess the resilience of the development of the Russian regions using the Mahalanobis distance methodology. I test a number of hypotheses about the relationship between resilient development and its level, rate, and the degrees of economic openness and sectoral diversification of the economy. The study relies on the data provided by the Federal State Statistics Service of the Russian Federation on 83 Russian regions from 2000 to 2017. The level of economic resilience was determined using five particular indicators per capita: the revenue of the consolidated budg

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García-Rubio, F., R. Betti, J. Sanz, and H. Aluie. "Theory of the magnetothermal instability in coronal plasma flows." Physics of Plasmas 29, no. 9 (2022): 092106. http://dx.doi.org/10.1063/5.0109877.

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The theory of the magnetothermal instability (MTI) [D. A. Tidman and R. A. Shanny, Phys. Fluids 17, 1207 (1974)] is revisited through the lens of the stability of uniform systems. The linear stability analysis includes flow advection and Nernst transport. The instability criteria derived distinguish between the convective and the absolute nature of the perturbation growth. It is proven that, in the region where the Nernst and plasma blowoff velocities cancel, the MTI can be absolute and wave-packet perturbations grow in situ. This instability is mediated by the internal feedback between the Bi

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de LUCA, LUIGI. "Experimental investigation of the global instability of plane sheet flows." Journal of Fluid Mechanics 399 (November 25, 1999): 355–76. http://dx.doi.org/10.1017/s0022112099006564.

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A global stability investigation of two-dimensional vertical liquid sheet flows is experimentally carried out. The motivation is that previous investigations addressed the study of the local absolute/convective character of such flows, thus they are not able to predict the actual critical flow Weber number corresponding to sheet rupture. The objective of the paper is twofold: first, the link between local absolute and global instabilities is investigated and the measured length of the absolute instability region is correlated with the non-parallelism parameter (sheet slenderness ratio which is

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Ehigie, J. O., S. A. Okunuga, and A. B. Sofoluwe. "3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations." Advances in Numerical Analysis 2011 (August 3, 2011): 1–14. http://dx.doi.org/10.1155/2011/513148.

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A Multistep collocation techniques is used in this paper to develop a 3-point explicit and implicit block methods, which are suitable for generating solutions of the general second-order ordinary differential equations of the form . The derivation of both explicit and implicit block schemes is given for the purpose of comparison of results. The Stability and Convergence of the individual methods of the block schemes are investigated, and the methods are found to be 0-stable with good region of absolute stability. The 3-point block schemes derived are tested on standard mechanical problems, and

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Raut, Bipin, Morakot Kaewmanee, Amit Angal, Xiaoxiong Xiong, and Dennis Helder. "Empirical Absolute Calibration Model for Multiple Pseudo-Invariant Calibration Sites." Remote Sensing 11, no. 9 (2019): 1105. http://dx.doi.org/10.3390/rs11091105.

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This work extends an empirical absolute calibration model initially developed for the Libya 4 Pseudo-Invariant Calibration Site (PICS) to five additional Saharan Desert PICS (Egypt 1, Libya 1, Niger 1, Niger 2, and Sudan 1), and demonstrates the efficacy of the resulting models at predicting sensor top-of-atmosphere (TOA) reflectance. It attempts to generate absolute calibration models for these PICS that have an accuracy and precision comparable to or better than the current Libya 4 model, with the intent of providing additional opportunities for sensor calibration. In addition, this work att

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Taiwo, Oluwasayo Esther, and Muideen O. Ogunniran. "A Class of One-Sixth Hybrid Methods for Direct Solution of Third Order Ordinary Differential Equations." Mikailalsys Journal of Mathematics and Statistics 3, no. 2 (2025): 368–81. https://doi.org/10.58578/mjms.v3i2.5368.

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In this paper, a class of Hybrid methods for solving third order ordinary differential equations directly is developed. These methods were derived using interpolation and collocation techniques. The methods were analyzed based on the properties of linear multistep methods and were found to be zero-stable, consistent and convergent with good region of absolute stability. The proposed methods were implemented on higher order ordinary differential initial value problems. The superirity of the proposed methods over existing ones was demonstrated through some numerical examples.

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Ó Náraigh, Lennon, Peter D. M. Spelt, and Stephen J. Shaw. "Absolute linear instability in laminar and turbulent gas–liquid two-layer channel flow." Journal of Fluid Mechanics 714 (January 2, 2013): 58–94. http://dx.doi.org/10.1017/jfm.2012.452.

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AbstractWe study two-phase stratified flow where the bottom layer is a thin laminar liquid and the upper layer is a fully developed gas flow. The gas flow can be laminar or turbulent. To determine the boundary between convective and absolute instability, we use Orr–Sommerfeld stability theory, and a combination of linear modal analysis and ray analysis. For turbulent gas flow, and for the density ratio $r= 1000$, we find large regions of parameter space that produce absolute instability. These parameter regimes involve viscosity ratios of direct relevance to oil and gas flows. If, instead, the

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Wakuma, Merga Sakata. "An overview of genotype x environment interaction and yield stability analysis in applied plant breeding: great emphasis given to coffee (Coffea arabica L.)." International Journal of Agricultural Research, Innovation and Technology 11, no. 2 (2021): 117–23. https://doi.org/10.3329/ijarit.v11i2.57264.

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The inconsistence of genotypes across location during plant breeding is the major challenges to the breeder. That is the differential response of genotypes to different environment. Meanwhile stability is the ability of a genotype to withstand stressful conditions and yet be able to produce yield. Thus, stability is an absolute and relative measure. Arabica coffee has location specific adaptation nature and that leads to highly significant instability in its breeding program. In the study of coffee bean yield stability cultivars tested at multi- locations within the domain of coffee growing ec

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Diaz, Michael, and Anantha Aiyyer. "Absolute and Convective Instability of the African Easterly Jet." Journal of the Atmospheric Sciences 72, no. 5 (2015): 1805–26. http://dx.doi.org/10.1175/jas-d-14-0128.1.

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Abstract The stability of the African easterly jet (AEJ) is examined using idealized numerical simulations. It is found that a zonally homogeneous representation of the AEJ can support absolute instability in the form of African easterly waves (AEWs). This finding is verified through a local energy budget, which demonstrates the presence of both upstream and downstream energy fluxes. These energy fluxes allow unstable wave packets to spread upstream and downstream relative to their initial point of excitation. This finding is further verified by showing that the ground-relative group velocity

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de la Torre, A., and S. Duhau. "Absolute stability in a collisionless electron-heat-conducting plasma in strong magnetic fields." Journal of Plasma Physics 41, no. 1 (1989): 107–18. http://dx.doi.org/10.1017/s0022377800013702.

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The dispersion relation obtained from a linear analysis of the hydrodynamic system of equations of Duhau is used to study the behaviour of the fast and slow magnetosonic and entropy modes in an electron-heat-flux-conducting plasma. The evolution of the hydrodynamic modes different from the Alfvén mode are studied as the electron heat flux is increased from zero as well as around the borders of overstable regions, for any anisotropy condition of the ions. The development of the domains of mirror and electron-heat-flux overstabilities are established and the regions of absolute stability are sho

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Arbie, M. Rizqie, Uwe Ehrenstein, and Christophe Eloy. "Stability of momentumless wakes." Journal of Fluid Mechanics 808 (October 28, 2016): 316–36. http://dx.doi.org/10.1017/jfm.2016.645.

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The caudal fin of swimming animals can be modelled as a thrust-producing flapping foil. When considered alone, such a foil produces on average a jet wake with a positive net momentum. It has been argued that the instability characteristics of these averaged wakes are linked to the propulsion efficiency of swimming animals. Here, we reconsider this question by taking into account both the thrust and the drag exerted on a self-propelled swimming body. To do so, we study the stability of a family of momentumless wakes, constructed as the Oseen approximation of a force doublet moving at constant v

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Qadri, Ubaid Ali, Gary J. Chandler, and Matthew P. Juniper. "Self-sustained hydrodynamic oscillations in lifted jet diffusion flames: origin and control." Journal of Fluid Mechanics 775 (June 19, 2015): 201–22. http://dx.doi.org/10.1017/jfm.2015.297.

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We use direct numerical simulation (DNS) of the Navier–Stokes equations in the low-Mach-number limit to investigate the hydrodynamic instability of a lifted jet diffusion flame. We obtain steady solutions for flames using a finite rate reaction chemistry, and perform a linear global stability analysis around these steady flames. We calculate the direct and adjoint global modes and use these to identify the regions of the flow that are responsible for causing oscillations in lifted jet diffusion flames, and to identify how passive control strategies might be used to control these oscillations.

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Sharifi, Mohammad, Ali Abdi, Michal Braś, and Gholamreza Hojjati. "A class of explicit second derivative general linear methods for non-stiff ODEs." Mathematical Modelling and Analysis 29, no. 4 (2024): 621–40. http://dx.doi.org/10.3846/mma.2024.19325.

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In this paper, we construct explicit second derivative general linear methods (SGLMs) with quadratic stability and a large region of absolute stability for the numerical solution of non-stiff ODEs. The methods are constructed in two different cases: SGLMs with p = q = r = s and SGLMs with p = q and r = s = 2 in which p, q, r and s are respectively the order, stage order, the number of external stages and the number of internal stages. Examples of the methods up to order five are given. The efficiency of the constructed methods is illustrated by applying them to some well-known non-stiff proble

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