Institute for Numerical and Applied Mathematics - Research Group Inverse Problems



Profile of Anh Khoa Vo



Education and Employment


  • February, 2018 - present: Institute for Numerical and Applied Mathematics, University of Goettingen, Germany. (Prof. Dr. Thorsten Hohage)
  • November, 2014 - January, 2018: Ph.D. in Applied Mathematics, Cum Laude (110/110), at Gran Sasso Science Institute, L'Aquila, Italy (in partnership with SISSA in Trieste, Italy). (Supervised by Prof. Dr. habil. Adrian Muntean - Defense date: January 16th, 2018)
  • October, 2010 - October, 2014: B.Sc. in Mathematics, Honor program, at University of Science, Ho Chi Minh city, Vietnam. (Supervised by Dr. Nguyen Thanh Long - Defense date: March 24th, 2014)



Research Interests


  • Regularization methods in inverse and ill-posed problems (stability and error estimates)

  • Homogenization methods for multiscale problems (well-posedness, corrector estimates)

  • Linearization methods for age/size-structured population models (well-posedness, convergent schemes)



Publications




    Articles


    • Vo Anh Khoa, Tran The Hung, Daniel Lesnic. 2018. Uniqueness result for an age-dependent reaction-diffusion problem. (submitted).
    • Vo Anh Khoa, Thieu Thi Kim Thoa, Ekeoma Rowland Ijioma. 2018. On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit. (submitted).
    • Nguyen Huy Tuan, Vo Anh Khoa, Vo Van Au. 2018. Analysis of a quasi-reversibility method for a terminal value quasi-linear parabolic problem with measurements. (submitted).
    • Nguyen Huy Tuan, Vo Anh Khoa, Mai Thanh Nhat Truong, Tran The Hung, Mach Nguyet Minh. 2018. Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system. Inverse Problems in Science and Engineering. (to appear).
    • Vuong Nguyen Doan, Huy Tuan Nguyen, Vo Anh Khoa, Van Au Vo. 2017. A note on the derivation of filter regularization operators for nonlinear evolution equations. Applicable Analysis 97(1): 3-12. http://dx.doi.org/10.1080/00036811.2016.1276176
    • Vo Anh Khoa. 2017. A high-order corrector estimate for a semi-linear elliptic system in perforated domains. Comptes Rendus Mecanique 345(5): 337-343. http://dx.doi.org/10.1016/j.crme.2017.03.003
    • Vo Anh Khoa, Tran The Hung. 2017. Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations. Applied Mathematics Letters 69: 75-81. http://dx.doi.org/10.1016/j.aml.2017.02.009
    • Vo Anh Khoa, Le Thi Phuong Ngoc, Nguyen Thanh Long. 2017. Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms. (submitted).
    • Vo Anh Khoa, Adrian Muntean. 2017. Correctors justification for a Smoluchowski-Soret-Dufour model posed in perforated domains. (submitted).
    • Vo Anh Khoa, Adrian Muntean. 2017. Correctors homogenization estimates for a non-stationary Stokes-Nernst-Planck-Poisson system in perforated domains. (submitted).
    • Nguyen Huy Tuan, Vo Van Au, Vo Anh Khoa, Daniel Lesnic. 2017. Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction. Inverse Problems 33(5): https://doi.org/10.1088/1361-6420/aa635f (055019).
    • Nguyen Huy Tuan, Vo Anh Khoa, Mach Nguyet Minh, Thanh Tran. 2017. Reconstruction of the electric field of the Helmholtz equation in three dimensions. Journal of Computational and Applied Mathematics 309: 56-78. http://dx.doi.org/10.1016/j.cam.2016.05.021
    • Vo Anh Khoa, Mai Thanh Nhat Truong, Nguyen Ho Minh Duy, Nguyen Huy Tuan. 2016. The Cauchy problem of coupled elliptic sine-Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing. Computers & Mathematics with Applications 73(1): 141-162. http://dx.doi.org/10.1016/j.camwa.2016.11.001
    • Vo Anh Khoa, Adrian Muntean. 2016. Asymptotic analysis of a semi-linear elliptic system in perforated domains: Well-posedness and correctors for the homogenization limit. Journal of Mathematical Analysis and Applications 439(1): 271-295. http://dx.doi.org/10.1016/j.jmaa.2016.02.068
    • Vo Anh Khoa, Adrian Muntean. 2016. A note on iterations-based derivations of high-order homogenization correctors for multiscale semi-linear elliptic equations. Applied Mathematics Letters 58: 103-109. http://dx.doi.org/10.1016/j.aml.2016.02.009
    • Vo Anh Khoa, Nguyen Huy Tuan, Le Trong Lan, Nguyen Thi Yen Ngoc. 2015. A finite difference scheme for nonlinear ultra-parabolic equations. Applied Mathematics Letters 46: 70-76. http://dx.doi.org/10.1016/j.aml.2015.02.007
    • Van Thinh Nguyen, Huy Tuan Nguyen, Thanh Binh Tran, Anh Khoa Vo. 2015. On an inverse problem in the parabolic equation arising from ground water pollution problem. Boundary Value Problems 2015(67): http://dx.doi.org/10.1186/s13661-015-0319-3
    • Nguyen Huy Tuan, Vo Anh Khoa, Le Trong Lan, Tran The Hung. 2015. On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data. Journal of Inequalities and Applications 2015(13): http://dx.doi.org/10.1186/s13660-014-0526-y
    • Nguyen Huy Tuan, Le Duc Thang, Vo Anh Khoa. 2015. A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source. Applied Mathematics and Computation 265: 245-265. http://dx.doi.org/10.1016/j.amc.2015.03.115
    • Nguyen Huy Tuan, Le Duc Thang, Dang Duc Trong, Vo Anh Khoa. 2015. Approximation of mild solutions of the linear and nonlinear elliptic equations. Inverse Problems in Science and Engineering 23(7): 1237-1266. http://dx.doi.org/10.1080/17415977.2014.993983
    • Nguyen Huy Tuan, Le Duc Thang, Vo Anh Khoa, Thanh Tran. 2014. On an inverse boundary value problem of nonlinear elliptic equation in three dimensions. Journal of Mathematical Analysis and Applications 426(2): 1232-1261. http://dx.doi.org/10.1016/j.jmaa.2014.12.047
    • Nguyen Huy Tuan, Bui Thanh Duy, Nguyen Dang Minh, Vo Anh Khoa. 2014. Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension. Communications in Nonlinear Science and Numerical Simulation 23(1-3): 89-114. http://dx.doi.org/10.1016/j.cnsns.2014.10.027



    All publications as BibTeX-file: bibtex




Conferences, Workshops and Summer Schools



Visits


  • November, 2017: Faculty of Sciences, Hasselt University, Belgium. (Host: Prof. Dr. Iuliu Sorin Pop)

  • July, 2017: Institute for Numerical and Applied Mathematics, University of Goettingen, Germany. (Host: Prof. Dr. Thorsten Hohage)

  • February, 2016: Department of Mathematics and Computer Science, Karlstad University, Sweden. (Host: Prof. Dr. habil. Adrian Muntean)

  • January, 2016: Faculty of Mathematics and Statistics, Ton Duc Thang University, Vietnam. (Host: Assoc. Prof. Nguyen Huy Tuan)

  • September, 2015: Department of Mathematics and Computer Science, Eindhoven University of Technology, The Netherlands. (Host: Prof. Dr. habil. Adrian Muntean)



Main Collaborators


    Adrian Muntean (Karlstad, Sweden), Daniel Lesnic (Leeds, UK), Nguyen Huy Tuan (HCMC, VN), Mai Thanh Nhat Truong (Hankyong, South Korea), Tran The Hung (HCMC, VN), Mach Nguyet Minh (Helsinki, Finland), Thieu Thi Kim Thoa (L'Aquila, Italy), Ekeoma Rowland Ijioma (Limerick, Ireland)
Research Group Inverse Problems

 
   members of the research group