Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Acta Appl Math

Search In Journal Title:

Abbravation: Acta Applicandae Mathematicae

Search In Journal Abbravation:

Publisher

Springer Netherlands

Search In Publisher:

DOI

10.1007/s15007-012-0070-3

Search In DOI:

ISSN

1572-9036

Search In ISSN:
Search In Title Of Papers:

The Numerical Asymptotically Stability of a Linear

Authors: Qi Wang
Publish Date: 2016/08/19
Volume: 146, Issue: 1, Pages: 145-161
PDF Link

Abstract

In this paper we mainly consider the stability of numerical solution for the differential equation with piecewise constant arguments of mixed type By the technique of solving differential equations the concrete form of analytic solution is derived Furthermore the conditions under which the analytic solution is asymptotically stable are obtained Then the RungeKutta methods are applied to the equation using the theory of characteristic the conditions under which the numerical solution is asymptotically stable are presented Moreover the necessary and sufficient conditions under which the numerical stability regions contain the analytical stability regions are determined In particular for theta methods we give the corresponding results of stability which are the generalization of conclusions in the existed paper Finally some numerical experiments are being included to support the theoretical resultsI would like to express my gratitude to the referees for their careful reading and for pointing out some errors in previous version of the paper The author is very grateful to Professors Mingzhu Liu Minghui Song and Zhanwen Yang for their helpful comments and constructive suggestions

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Virasoro Action on Pseudo-Differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems
  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
  3. Analysis of a Polynomial System Arising in the Design of an Optical Lattice Filter Useful in Channelization
  4. On L 1 Bounds for Asymptotic Normality of Some Weakly Dependent Random Variables
  5. Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures
  6. Noncommutative Dynamical Models with Quantum Symmetries
  7. A BGK Model for Gas Mixtures
  8. Marshall and Olkin’s Distributions
  9. An Initial-Boundary Value Problem for the Korteweg–de Vries Equation with Dominant Surface Tension
  10. Variational Approach to the Inviscid Compressible Fluid
  11. On a Time-Dependent Fluid-Solid Coupling in 3D with Nonstandard Boundary Conditions
  12. Application of He’s Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems
  13. Estimate on the Dimension of Global Attractor for Nonlinear Dissipative Kirchhoff Equation
  14. Zero Dynamics and Stabilization for Analytic Linear Systems
  15. Multiplicative Property of the Digital Fundamental Group
  16. Finite Velocity of the Propagation of Perturbations for a Class of Non-Newtonian Fluids
  17. Existence Results for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups
  18. A Partially Observed Ultra-High-Frequency Data Model: Risk-Minimizing Hedging
  19. On q -Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics
  20. A Geometric Approach to Trajectory Design for an Autonomous Underwater Vehicle: Surveying the Bulbous Bow of a Ship
  21. Quantitative Convergence Towards a Self-Similar Profile in an Age-Structured Renewal Equation for Subdiffusion
  22. Symmetries, Lagrangian and Conservation Laws for the Maxwell Equations
  23. Duals of Frame Sequences
  24. Critical Points of the Optimal Quantum Control Landscape: A Propagator Approach
  25. On the Reverse Wiener Indices of Unicyclic Graphs
  26. Infinitely Many Local Higher Symmetries without Recursion Operator or Master Symmetry: Integrability of the Foursov–Burgers System Revisited
  27. Homogenization of Nonlinear Degenerate Non-monotone Elliptic Operators in Domains Perforated with Tiny Holes
  28. Qualitative Analysis of a Predator-Prey Model with Predator Saturation and Competition
  29. On the Classification of N -Points Concentrating Solutions for Mean Field Equations and the Symmetry Properties of the N -Vortex Singular Hamiltonian on the Unit Disk
  30. Instability in Porous Layers with Depth-Dependent Viscosity and Permeability
Search Result: