Roderick V. Nicholas Melnik

Personal Home Page

http://www.mci.sdu.dk/rm/

Articles in Scholarly Journals [Incomplete List]

  1. Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods
    Applied Numerical Mathematics, vol. 58, no. 4, pp. 511–524, 2008
  2. Markov chain network training and conservation law approximations: Linking microscopic and macroscopic models for evolution
    Applied Mathematics and Computation, vol. 199, no. 1, pp. 315–333, 2008
  3. A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers
    International Journal of Heat and Mass Transfer, vol. 51, no. 7-8, pp. 1979–1995, 2008
  4. Modifying macroscale variant combinations in a two-dimensional structure using mechanical loadings during thermally induced transformation
    Materials Science and Engineering: A, vol. 481-482, pp. 190–193, 2008
  5. Electromechanical interactions in a carbon nanotube based thin film field emitting diode
    Nanotechnology, vol. 19, no. 2, p. 025701, 2008
  6. Electromechanical effects in electron structure for GaN/AlN quantum dots
    Journal of Physics: Conference Series, vol. 107, p. 012008, 2008
  7. Monte Carlo test of the Goldstone mode singularity in 3D XY model
    The European Physical Journal B, vol. 55, no. 4, pp. 363–370, 2007
  8. Design of Micro-Fluidic Bio-Reactors Using Topology Optimization
    Journal of Computational and Theoretical Nanoscience, vol. 4, no. 4, pp. 814–816, 2007
  9. Finite Element Modelling and Simulation of Phase Transformations in Shape Memory Alloy Thin Films
    International Journal for Multiscale Computational Engineering, vol. 5, no. 1, pp. 65–71, 2007
  10. Finite element approach to modelling evolution of 3D shape memory materials
    Mathematics and Computers in Simulation, vol. 76, no. 1-3, pp. 141–148, 2007
  11. Numerical model for vibration damping resulting from the first-order phase transformations
    Applied Mathematical Modelling, vol. 31, no. 9, pp. 2008–2018, 2007
  12. Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition
    Applied Numerical Mathematics, vol. 57, no. 5-7, pp. 510–520, 2007
  13. Model-based analysis and simulation of airflow control systems of ventilation units in building environments
    Building and Environment, vol. 42, no. 1, pp. 203–217, 2007
  14. Effect of internal viscosity on Brownian dynamics of DNA molecules in shear flow
    Computational Biology and Chemistry, vol. 31, no. 2, pp. 110–114, 2007
  15. Coupled effects in quantum dot nanostructures with nonlinear strain and bridging modelling scales
    Computers & Structures, vol. 85, no. 11-14, pp. 698–711, 2007
  16. Thermo-Mechanical Wave Propagations in Shape Memory Alloy Rod with Phase Transformations
    Mechanics of Advanced Materials and Structures, vol. 14, no. 8, pp. 665–676, 2007
  17. Guest Editorial
    International Journal for Computational Methods in Engineering Science and Mechanics, vol. 8, no. 2, pp. 51–51, 2007
  18. Finite Element Analysis of Phase Transformation Dynamics in Shape Memory Alloys with a Consistent Landau-Ginzburg Free Energy Model
    Mechanics of Advanced Materials and Structures, vol. 13, no. 6, pp. 443–455, 2006
  19. Dynamic coupling of piezoelectric effects, spontaneous polarization, and strain in lattice-mismatched semiconductor quantum-well heterostructures
    Journal of Applied Physics, vol. 100, no. 2, p. 024302, 2006
  20. Vibration of piezoelectric elements surrounded by fluid media
    Ultrasonics, vol. 44, no. 1, pp. 64–72, 2006
  21. Mechanically induced phase combination in shape memory alloys by Chebyshev collocation methods
    Materials Science and Engineering: A, vol. 438-440, pp. 427–430, 2006
  22. Model-based analysis and simulation of regenerative heat wheel
    Energy and Buildings, vol. 38, no. 5, pp. 502–514, 2006
  23. Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys
    Heat and Mass Transfer, vol. 43, no. 6, pp. 535–546, 2006
  24. Differential-algebraic approach to coupled problems of dynamic thermoelasticity
    Applied Mathematics and Mechanics, vol. 27, no. 9, pp. 1185–1196, 2006
  25. A finite difference method for studying thermal deformation in a thin film exposed to ultrashort-pulsed lasers
    International Journal of Heat and Mass Transfer, vol. 49, no. 15-16, pp. 2712–2723, 2006
  26. A finite difference method for studying thermal deformation in a double-layered thin film exposed to ultrashort pulsed lasers
    International Journal of Thermal Sciences, vol. 45, no. 12, pp. 1179–1196, 2006
  27. Electronic structure of free-standing InP and InAs nanowires
    Journal of Materials Research, vol. 21, no. 11, pp. 2927–2935, 2006
  28. Two-Dimensional Analysis of Shape Memory Alloys under Small Loadings
    International Journal for Multiscale Computational Engineering, vol. v4, no. i2, pp. 291–304, 2006
  29. A Special Issue on Theoretical and Computational Studies of Interlocked Molecules and Molecular Devices
    Journal of Computational and Theoretical Nanoscience, vol. 3, no. 6, pp. 1–2, 2006
  30. The Gating Efficiency of Single-Molecule Transistors
    Journal of Computational and Theoretical Nanoscience, vol. 3, no. 6, pp. 951–956, 2006
  31. Semi-Classical Quantization of the Shuttling Eigenstates in a [2]Rotaxane
    Journal of Computational and Theoretical Nanoscience, vol. 3, no. 6, pp. 982–988, 2006
  32. Determination of Distance from a 2D Picture
    Journal of Physics: Conference Series, vol. 52, pp. 46–57, 2006
  33. Thermal behavior of absorbing and scattering glass media containing molecular water impurity
    International Journal of Thermal Sciences, vol. 44, no. 2, pp. 107–114, 2005
  34. The Fourth World Congress of Nonlinear Analysts: Modelling, control and analysis of coupled problems, processes and phenomena
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e1421–e1423, 2005
  35. Non-linear strain theory for low-dimensional semiconductor structures
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e1607–e1617, 2005
  36. Nonlinear strain models in the analysis of quantum dot molecules
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e2165–e2176, 2005
  37. Nonlinear Analysis of Rubber-Based Polymeric Materials with Thermal Relaxation Models
    Numerical Heat Transfer: Part A: Applications, vol. 47, no. 6, pp. 549–569, 2005
  38. Electronic structure of wurtzite quantum dots with cylindrical symmetry
    Applied Physics Letters, vol. 87, no. 4, p. 041906, 2005
  39. A general treatment of deformation effects in Hamiltonians for inhomogeneous crystalline materials
    Journal of Mathematical Physics, vol. 46, no. 11, p. 112102, 2005
  40. Nano Letters, vol. 4, no. 2, pp. 289–292, 2004
  41. Prediction of barrier localization in modulated nanowires
    Journal of Applied Physics, vol. 96, no. 8, p. 4660, 2004
  42. Modeling a nanowire superlattice using the finite difference method in cylindrical polar coordinates
    Computer Physics Communications, vol. 157, no. 2, pp. 147–159, 2004
  43. Modeling anti-islanding protection devices for photovoltaic systems
    Renewable Energy, vol. 29, no. 15, pp. 2195–2216, 2004
  44. Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison
    Solid State Communications, vol. 132, no. 3-4, pp. 141–149, 2004
  45. Dynamics of shape memory alloys patches
    Materials Science and Engineering A, vol. 378, no. 1-2, pp. 470–474, 2004
  46. Wave phenomena in physics and engineering: new models, algorithms, and applications
    Mathematics and Computers in Simulation, vol. 65, no. 4-5, pp. 299–302, 2004
  47. Quantum confinement phenomena in nanowire superlattice structures
    Mathematics and Computers in Simulation, vol. 65, no. 4-5, pp. 385–397, 2004
  48. Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials
    Mathematics and Computers in Simulation, vol. 65, no. 4-5, pp. 489–509, 2004
  49. Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity
    Applied Numerical Mathematics, vol. 48, no. 1, pp. 41–62, 2004
  50. Computational models for multi-scale coupled dynamic problems
    Future Generation Computer Systems, vol. 20, no. 3, pp. 453–464, 2004
  51. Finite element analysis of coupled electronic states in quantum dot nanostructures
    Modelling and Simulation in Materials Science and Engineering, vol. 12, no. 3, pp. 465–477, 2004
  52. Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions
    Engineering Computations, vol. 21, no. 8, pp. 834–847, 2004
  53. Modelling nonlinear dynamics of shape-memory-alloys with approximate models of coupled thermoelasticity
    ZAMM, vol. 83, no. 2, pp. 93–104, 2003
  54. Computationally efficient algorithms for modelling thermal degradation and spiking phenomena in polymeric materials
    Computers & Chemical Engineering, vol. 27, no. 10, pp. 1473–1484, 2003
  55. The synergistic integration of mathematics, software engineering, and user-centred design: exploring new trends in education
    Future Generation Computer Systems, vol. 19, no. 8, pp. 1299–1307, 2003
  56. Numerical analysis of dynamic characteristics of coupled piezoelectric systems in acoustic media
    Mathematics and Computers in Simulation, vol. 61, no. 3-6, pp. 497–507, 2003
  57. MODELLING COUPLED DYNAMICS: PIEZOELECTRIC ELEMENTS UNDER CHANGING TEMPERATURE CONDITIONS
    International Communications in Heat and Mass Transfer, vol. 30, no. 1, pp. 83–92, 2003
  58. Distance geometry algorithms in molecular modelling of polymer and composite systems
    Computers & Mathematics with Applications, vol. 45, no. 1-3, pp. 515–534, 2003
  59. Bandstructures of conical quantum dots with wetting layers
    Nanotechnology, vol. 15, no. 1, pp. 1–8, 2003
  60. Computational analysis of temperature rise phenomena in electric induction motors
    Applied Thermal Engineering, vol. 23, no. 7, pp. 779–795, 2003
  61. On computational control of flow in airblast atomisers for pulmonary drug delivery
    International Journal of Pharmaceutics, vol. 239, no. 1-2, pp. 23–35, 2002
  62. Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes
    Journal of Computational and Applied Mathematics, vol. 147, no. 1, pp. 233–262, 2002
  63. Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models
    Computational Mechanics, vol. 29, no. 1, pp. 16–26, 2002
  64. Models for coupled kinetics and heat transfer in processing polymeric materials with applications to biochemical engineering
    Modelling and Simulation in Materials Science and Engineering, vol. 10, no. 3, pp. 341–357, 2002
  65. Computational analysis of coupled physical fields in piezothermoelastic media
    Computer Physics Communications, vol. 142, no. 1-3, pp. 231–237, 2001
  66. Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena
    Mechanics Research Communications, vol. 28, no. 6, pp. 637–651, 2001
  67. Discrete models of coupled dynamic thermoelasticity for stress–temperature formulations
    Applied Mathematics and Computation, vol. 122, no. 1, pp. 107–132, 2001
  68. Bit Numerical Mathematics, vol. 41, no. 4, pp. 748–775, 2001
  69. COUPLED THERMOMECHANICAL WAVES IN HYPERBOLIC THERMOELASTICITY
    Journal of Thermal Stresses, vol. 24, no. 2, pp. 121–140, 2001
  70. Journal of Engineering Mathematics, vol. 38, no. 3, pp. 233–263, 2000
  71. Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory
    Applied Mathematics and Computation, vol. 107, no. 1, pp. 27–55, 2000
  72. Modelling dynamics of piezoelectric solids in the two-dimensional case
    Applied Mathematical Modelling, vol. 24, no. 3, pp. 147–163, 2000
  73. Quasi-hydrodynamic modelling and computer simulation of coupled thermo-electrical processes in semiconductors
    Mathematics and Computers in Simulation, vol. 52, no. 3-4, pp. 273–287, 2000
  74. Computing dynamics of copper-based SMA via centre manifold reduction of 3D models
    Computational Materials Science, vol. 18, no. 3-4, pp. 255–268, 2000
  75. Modelling and Simulation in Materials Science and Engineering, vol. 8, no. 2, pp. 133–149, 2000
  76. Topological analysis of eigenvalues in engineering computations
    Engineering Computations, vol. 17, no. 4, pp. 386–416, 2000
  77. Book review: Idempotency, edited by J. Gunawardena
    Discrete Dynamics in Nature and Society, vol. 5, no. 1, pp. 75–79, 2000
  78. Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information
    Journal of Computational and Applied Mathematics, vol. 110, no. 1, pp. 45–72, 1999
  79. ??????? ??????? ?????????? ?????? ??? ?????????????? ???????? ??????? ???????
    Ukrainian Mathematical Journal, vol. 51, no. 2, pp. 281–284, 1999
  80. On the Levy-Baxter theorems for shot-noise fields. II
    Ukrainian Mathematical Journal, vol. 51, no. 1, pp. 11–33, 1999
  81. A note on the class of weakly coupled problems of non-stationary piezoelectricity
    Communications in Numerical Methods in Engineering, vol. 14, no. 9, pp. 839–847, 1998
  82. A note on the class of weakly coupled problems of non-stationary piezoelectricity
    Communications in Numerical Methods in Engineering, vol. 14, no. 9, pp. 839–847, 1998
  83. Convergence of the operator-difference scheme to generalized solutions of a coupled field theory problem
    Journal of Difference Equations and Applications, vol. 4, no. 2, pp. 185–212, 1998
  84. Dynamic system evolution and markov chain approximation
    Discrete Dynamics in Nature and Society, vol. 2, no. 1, pp. 7–39, 1998
  85. The Stability Condition and Energy Estimate for Nonstationary Problems of Coupled Electroelasticity
    Mathematics and Mechanics of Solids, vol. 2, no. 2, pp. 153–180, 1997
  86. On consistent regularities of control and value functions
    Numerical Functional Analysis and Optimization, vol. 18, no. 3, pp. 401–426, 1997