Publication List

A. Journal Papers
  1. V.H. Linh, N.D. Truong, On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations,  accepted for publication in Numerical Algorithms, 2019. SCIE
  2. 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 
  3. 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.
  4.  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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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. 
  11. 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
  12. 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
  13. 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 
  14. 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 
  15. 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
  16. V.H. Linh, N.Q. Tuan, Maximal Stability Bound for Generalized Singularly Perturbed Systems, Vietnam Journal of Mathematics, 37(2009) 339-356.
  17. 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 
  18. 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.
  19. 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
  20. 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
  21. 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
  22. 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.
  23. K. Balla, V.H. Linh, Adjoint pairs of differential-algebraic equations and Hamiltonian systems, Applied Numerical Mathematics, 53(2005), 131-148. SCI
  24. 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
  25. 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.")
  26. 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.
  27. 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.
  28. V.H. Linh, On some questions arising in numerical realization of amplitude-phase methods, Numerical Algorithms, 17(1998), No. 1-2, 171-191. SCI
  29. 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.
  30. 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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