A. Journal Papers- V.H. Linh, P. Ha, Index reduction for second order singular systems of difference equations, Linear Algebra and its Applications, 608 (2021) 107–132. SCI
- V.H. Linh, N.D. Truong, On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations, Numerical Algorithms, 85(2020), 277-303. SCIE
- V.H. Linh, N.D. Truong, Stable Numerical Solution for a Class of Structured Differential-Algebraic Equations by Linear Multistep Methods, Acta Mathematica Vietnamica, 44(2019), pp 955–976. ESCI/SCOPUS
- M.V. Bulatov, V.H. Linh, L.S. Solovarova, Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations, Zh. Vychisl. Mat. Mat. Fiz., 59(2019), No. 7, 1049-1057. SCIE English translation: Russian J. Comp. Math. Math. Phys., 59(2019), No. 7, 1000-1007.
- V.H. Linh, N.D. Truong, M.V. Bulatov, Convergence analysis of linear multistep methods for a class of delay differential-algebraic equations, Bull. South Ural State Univ., Ser.: Math. Model.,
Prog. Comp. Soft.,
11(2018), no. 4, pp. 78-93. ESCI/SCOPUS
- V.H. Linh, N.D. Truong, Runge-Kutta Methods Revisited for a Class of Structured Strangeness-Free Differential-Algebraic Equations, Electronic Transactions on Numerical Analysis, 48(2018), pp. 131–155. DOI: 10.1553/etna_vol48s131 SCIE
- V.H. Linh, N.T.T. Nga, D.D. Thuan, Exponential Stability and Robust Stability for Linear Time-Varying Singular Systems of Second Order Difference Equations, SIAM J. Matrix Anal. & Appl. 39-1 (2018), pp. 204-233. SCI
- V.H. Linh, N.T.T. Nga, Bohl–Perron Type Stability Theorems for Linear Singular Difference Equations, Vietnam Journal of Mathematics, 46(2018), pp. 437-451. ESCI/SCOPUS
- V.H. Linh, R. März, Adjoint Pairs of Differential-Algebraic Equations and Their Lyapunov Exponents, J. Dynamics and Differential Equations, 29(2017), 655-684. SCI
- N.H. Du, V.H. Linh, N.T.T. Nga, On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients, J. Difference Equations and Applications, 22(2016), 1350-1377. SCIE
- M.V. Bulatov, V.H.
Linh, L.S. Solovarova, On BDF-Based Multistep Schemes for Some
Classes of Linear Differential-Algebraic Equations of Index at Most 2, Acta Mathematica Vietnamica, 41(2016), 715-730.
- V.H. Linh, N.N. Tuan: Asymptotic integration of linear differential-algebraic equations, Electronic Journal of Qualitative Theory of
Differential Equations, 2014, No. 12, 1-17. SCIE
- V.H. Linh, V.
Mehrmann: Efficient integration of strangeness-free non-stiff DAEs by half-explicit methods, Journal of Computational and Applied Mathematics, 262 (2014), 346-360. SCI
- N.H. Du, V.H. Linh, V. Mehrmann, D.D. Thuan: Stability and robust stability of linear time-invariant delay differential-algebraic equations, SIAM Matrix Anal. Appl., 34(2013), 1631-1654. SCI
- V.H. Linh, V.
Mehrmann: Approximation of spectral intervals and associated leading directions
for linear differential-algebraic equation via smooth singular value
decompositions, SIAM J. Numer. Anal. 49, pp. 1810-1835, 2011. SCI
- V.H. Linh, V.
Mehrmann, E. Van Vleck: QR Methods and Error Analysis for
Computing Lyapunov and Sacker-Sell Spectral Intervals for Linear
Differential-Algebraic Equations, Adv.
Comput. Math. Volume 35, Numbers 2-4, 281-322, 2011. SCIE
- V.H. Linh, N.Q. Tuan, Maximal Stability
Bound for Generalized Singularly Perturbed Systems, Vietnam Journal of Mathematics, 37(2009) 339-356.
- S. Campbell, V.H. Linh, Stability
criteria for differential-algebraic equations with multiple delays and their
numerical solutions, Applied Mathematics and Computation, 208 (2009) 397–415. SCIE
- V.H. Linh, V. Mehrmann: Lyapunov, Bohl,
and Sacker-Sell spectral intervals for differential-algebraic equations, J. Dynamics and Differential Equations (2009) 21:153–194. SCIE Preprint version:
Spectral Intervals for Differential-Algebraic Equations and Their Numerical Approximations, Preprint 402,
DFG Research Center MATHEON, Berlin,
2007.
- C-J.
Chyan, N.H.
Du and V.H. Linh, On data-dependence
of exponential stability and stability radii for linear time-varying
differential-algebraic systems, J. Differential Equations, 245(2008),
2078-2102. SCI
- N.H.
Du, V.H. Linh, Stability radii for
linear time-varying differential algebraic equations with respect to dynamic
perturbations, 2005, J. Differential
Equations, 230(2006), 579-599. SCI
- N.H.
Du, V.H. Linh, On the robust
stability of implicit linear systems containing a small parameter in the
leading term, IMA Journal on Mathematical
Control and Information, 23(2006),
67-74. SCIE
- V.H. Linh, On the robustness of asymptotic
stability for a class of singularly perturbed systems with multiple delays, Acta Mathematica Vietnamica, 30(2005), 137-151.
- K.
Balla, V.H. Linh, Adjoint pairs of
differential-algebraic equations and Hamiltonian systems, Applied Numerical
Mathematics, 53(2005), 131-148. SCI
- N.H.
Du, V.H. Linh, Implicit-system
approach to the robust stability for a class of singularly perturbed linear
systems, Systems & Control Letters, 54(2005), 33-41. SCI
- V.H. Linh, On the high order asymptotic
solution of certain wave equations, Miskolc Mathematical Notes, 5(2004),
No.1, 57-69. (this is an
improved variant of the paper "On asymptotic solution of radial wave
differential equations, WP 99-2 (LORDS), HAS
Computer and Automation Research Institute, Budapest, 1999.")
- N.H.
Du, D.T. Lien, V.H. Linh, On complex
stability radii for implicit discrete-time systems, Vietnam Journal
of Mathematics, 31(2003), No.4, 475-488.
- N.B.
Konyukhova, V.H. Linh, I.B.
Staroverova, On modifications of the method of phase functions as applied to
singular problems in quantum physics, Zh. Vychisl. Mat. Mat. Fiz., 39(1999),
No. 3, 1999, 492-522. SCIE English translation: Russian J. Comp. Math. Math.
Phys., 39(1999), No. 3, 468-498.
- V.H. Linh, On some questions arising in
numerical realization of amplitude-phase methods, Numerical Algorithms, 17(1998),
No. 1-2, 171-191. SCI
- V.H. Linh, Error estimates for the
amplitude-phase method in the evaluation of radial wave functions, Acta Sci.
Math. (Szeged),
63(1997), 657-670.
- K.
Balla, V.H. Linh, On the
simultaneous computation of Bessel functions of first and second kind, Int.
J. Computer Math. Applic, 31(1996), No. 4-5, 87-97. SCI
B. Book Chapters/Proceedings - V.H. Linh, D.D. Thuan, Spectrum-Based Robust Stability Analysis of Linear Delay Differential-Algebraic Equations. In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, Festschrift in Honor of Volker Mehrmann (Eds: P. Benner et.al.), Springer, pp. 533-557, 2015.
- N.H. Du, V.H. Linh, V. Mehrmann: Robust stability of
differential-algebraic equations. In: Surveys in Differential-Algebraic Equations I (Editors: A. Ilchmann, T. Reis), 63-95, DAE-F, Springer, 2013.
- V.H. Linh, V.
Mehrmann: Spectra and leading directions for
differential-algebraic equations. In: Control and Optimization with Differential-Algebraic Constraints (Editors: Lorenz T. Biegler, Stephen L. Campbell and Volker Mehrmann), SIAM, pp. 59-78, 2012.
- V.H. Linh, V.
Mehrmann: Spectral analysis for linear differential-algebraic equations, 10 pages, in: the Proceedings for the 8th AIMS Conference on Dynamical
Systems, Differential Equations
and Applications, Dresden,
Germany,
May 25 - 28,
2010, DCDS Supplement 2011, 991-1000.
- V.H. Linh, Error estimations of approximate
solution to certain second order linear differential equations, in: Advances
in Difference Equations, (eds. S. Elaydi, I. Győri and G. Ladas), Gordon
and Breach, London,
1997, 615-628.
C. Theses - V.H. Linh: Spectrum-based analysis for stability and robust stability of differential-algebraic equations, Habilitation Thesis, TU Berlin, 2013.
-
V.H. Linh, Computation of radial wave
functions by amplitude-phase methods, Ph.D.
Thesis, Eötvös Loránd
University of Science, Budapest, 1998.
D. Others - S. Campbell, V.H.
Linh, L. Petzold
(2008) Differential-algebraic equations. Scholarpedia,
3(8):2849.
- V.H. Linh, N.H. Du, Stability radii for
linear time-varying differential algebraic equations and their dependence on
data, in: Oberwolfach Reports 2006, MFO
Workshop on Differential Algebraic Equations, April 16-22, 2006, Oberwolfach,
Germany, 3 pages.
- V.H. Linh, N.H. Du, Robust stability of
differential algebraic equation with respect to dynamic perturbations, in: On Frontiers of Basic
Science, Osaka University – Vietnam National University Hanoi Forum,
September 27-29, 2005, Osaka University Press, 2006, 2 pages.
- V.H. Linh, On asymptotic solution of radial
wave differential equations, WP 99-2 (LORDS), HAS Computer and Automation Research Institute, Budapest, 1999.
- V.H. Linh, On the numerical computation of an
intergral formula containing Bessel functions, WP 94-3 (LORDS), HAS Computer and Automation Research Institute,
Budapest, 1994.
Talks- Smooth matrix factorization and application in the approximation of spectral intervals for dynamical systems, 14th Workshop on Optimization and Scientific Computing, April 21-23, 2016, Ba Vi, Vietnam. (Invited)
- Spectrum-based robust stability analysis of linear delay differential-algebraic equations, Conference in Honor of Volker Mehrmann on the Occasion of his 60th Birthday, "Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory", 6-9 May 2015, TU Berlin, Berlin, Germany. (Invited)
- Stability and robust stability of linear time-invariant delay differential-algebraic equations, International Conference on Numerical Linear Algebra and its Applications (NLAA
2013), IIT Guwahati, 15 - 18 January, 2013, Guwahati, India. (Invited)
- Efficient integration of a class of matrix-valued non-stiff DAEs by half-explicit methods, Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF-13), September 10-14, 2012, Halle, Germany.
- Spectral Intervals for Differential-algebraic Equations
and their Numerical Approximation by QR and SVD Algorithms, Householder Symposium XVIII, June 12-17, 2011, Tahoe City, California, USA.
- Approximation of spectral intervals and associated leading directions
for linear differential-algebraic systems via smooth singular value
decompositions, Workshop on Control and Optimization with Differential-Algebraic contraints, Banff, Canada, October 24-30, 2010.
- Spectral intervals and their associated leading directions for DAEs, The 8th AIMS Conference on Dynamical
Systems, Differential Equations
and Applications, Dresden,
Germany,
May 25 - 28,
2010
- Stability criteria for
differential-algebraic equations with multiple delays and their numerical
solutions, 4th
Int. Conference on High Performance Scientific Computing, Hanoi, 2-6 March 2009.
- Spectral intervals for DAEs and their
numerical approximation.
Seminar at CSE group – University of
California Santa Barbara, April, 2008.
-
Exponential stability and robust stability
of differential-algebraic equations. Invited talk at the Differential Equations Session, 7th Vietnam Mathematical Congress, Qui Nhon, 2008.
- Robustness Characterization of Exponential
Stability for parametrized DAEs. Workshop on
Structured Perturbations and Distance Problems in Matrix Computations, Bedlewo, Poland,
2007. http://www.math.tu-berlin.de/numerik/mt/bedlewo/anmtabelle.html
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