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  1. No Access

    Article

    On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations

    In this paper, we propose and investigate continuous Runge-Kutta methods for solving a class of nonlinear differential-algebraic equations (DAEs) with constant delay. Real-life processes that involve simultane...

    Vu Hoang Linh, Nguyen Duy Truong in Numerical Algorithms (2020)

  2. No Access

    Article

    Stable Numerical Solution for a Class of Structured Differential-Algebraic Equations by Linear Multistep Methods

    It is known that when we apply a linear multistep method to differential-algebraic equations (DAEs), usually the strict stability of the second characteristic polynomial is required for the zero stability. In ...

    Vu Hoang Linh, Nguyen Duy Truong in Acta Mathematica Vietnamica (2019)

  3. No Access

    Article

    The Impact of Migration and Remittances on Household Welfare: Evidence from Vietnam

    This paper examines the pattern and the impact of migration and remittances on household welfare in Vietnam using fixed-effects regressions and panel data from Vietnam Household Living Standard Surveys 2010 an...

    Nguyen Viet Cuong, Vu Hoang Linh in Journal of International Migration and Integration (2018)

  4. No Access

    Article

    Bohl–Perron Type Stability Theorems for Linear Singular Difference Equations

    In this paper, we investigate certain input-state relations and the exponential stability for singular systems of linear difference equations. For the treatment of singular systems, we use the projector-based ...

    Vu Hoang Linh, Ngo Thi Thanh Nga in Vietnam Journal of Mathematics (2018)

  5. No Access

    Article

    Adjoint Pairs of Differential-Algebraic Equations and Their Lyapunov Exponents

    This paper is devoted to the analysis of adjoint pairs of regular differential-algebraic equations with arbitrarily high tractability index. We consider both standard form DAEs and DAEs with properly involved ...

    Vu Hoang Linh, Roswitha März in Journal of Dynamics and Differential Equations (2017)

  6. No Access

    Article

    On BDF-Based Multistep Schemes for Some Classes of Linear Differential-Algebraic Equations of Index at Most 2

    A family of efficient multistep difference schemes for solving some classes of linear non-autonomous differential-algebraic equations of index at most 2 is proposed. It is shown that if the popular backward di...

    Mikhail Valeryanovich Bulatov, Vu Hoang Linh… in Acta Mathematica Vietnamica (2016)

  7. No Access

    Chapter

    Spectrum-Based Robust Stability Analysis of Linear Delay Differential-Algebraic Equations

    This paper presents a survey of results on the spectrum-based robust stability analysis of linear delay ordinary differential equations (DODEs) and linear delay differential-algebraic equations (DDAEs). We foc...

    Vu Hoang Linh, Do Duc Thuan in Numerical Algebra, Matrix Theory, Differen… (2015)

  8. No Access

    Chapter

    Robust Stability of Differential-Algebraic Equations

    This paper presents a survey of recent results on the robust stability analysis and the distance to instability for linear time-invariant and time-varying differential-algebraic equations (DAEs). Different sta...

    Nguyen Huu Du, Vu Hoang Linh… in Surveys in Differential-Algebraic Equation… (2013)

  9. No Access

    Article

    QR methods and error analysis for computing Lyapunov and Sacker–Sell spectral intervals for linear differential-algebraic equations

    In this paper, we propose and investigate numerical methods based on QR factorization for computing all or some Lyapunov or Sacker–Sell spectral intervals for linear differential-algebraic equations. Furthermore,...

    Vu Hoang Linh, Volker Mehrmann, Erik S. Van Vleck in Advances in Computational Mathematics (2011)

  10. No Access

    Article

    Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations

    Lyapunov and exponential dichotomy spectral theory is extended from ordinary differential equations (ODEs) to nonautonomous differential-algebraic equations (DAEs). By using orthogonal changes of variables, th...

    Vu Hoang Linh, Volker Mehrmann in Journal of Dynamics and Differential Equations (2009)

  11. No Access

    Article

    On some questions arising in numerical realization of amplitude-phase methods

    For computing rapidly oscillating solutions of certain second order differential equations a new version of amplitude-phase methods has recently been proposed in [11]. Error estimates were given to approximate...

    Vu Hoang Linh in Numerical Algorithms (1998)