Publication List

A. Journal Papers
  1. 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
  2. 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
  3. 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 
  4. 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.
  5.  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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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. 
  12. 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
  13. 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
  14. 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 
  15. 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 
  16. 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
  17. V.H. Linh, N.Q. Tuan, Maximal Stability Bound for Generalized Singularly Perturbed Systems, Vietnam Journal of Mathematics, 37(2009) 339-356.
  18. 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 
  19. 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.
  20. 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
  21. 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
  22. 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
  23. 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.
  24. K. Balla, V.H. Linh, Adjoint pairs of differential-algebraic equations and Hamiltonian systems, Applied Numerical Mathematics, 53(2005), 131-148. SCI
  25. 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
  26. 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.")
  27. 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.
  28. 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.
  29. V.H. Linh, On some questions arising in numerical realization of amplitude-phase methods, Numerical Algorithms, 17(1998), No. 1-2, 171-191. SCI
  30. 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.
  31. 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

  1. 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.
  2.  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.
  3.  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.
  4.  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.
  5. 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

  1. V.H. Linh: Spectrum-based analysis for stability and robust stability of differential-algebraic equations, Habilitation Thesis, TU Berlin, 2013.
  2. V.H. Linh, Computation of radial wave functions by amplitude-phase methods, Ph.D. Thesis, Eötvös Loránd University of Science, Budapest, 1998.

D. Others

  1. S. Campbell, V.H. Linh, L. Petzold (2008) Differential-algebraic equations. Scholarpedia, 3(8):2849.
  2. 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.
  3. 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.
  4. V.H. Linh, On asymptotic solution of radial wave differential equations, WP 99-2 (LORDS), HAS Computer and Automation Research Institute, Budapest, 1999.
  5. 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


Last Revised: May 16, 2016

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