Roderick V. Nicholas Melnik
Personal Home Page
http://www.mci.sdu.dk/rm/
Articles in Scholarly Journals [Incomplete List]
- Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods
Applied Numerical Mathematics, vol. 58, no. 4, pp. 511–524, 2008 - 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 - 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 - 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 - Electromechanical interactions in a carbon nanotube based thin film field emitting diode
Nanotechnology, vol. 19, no. 2, p. 025701, 2008 - Electromechanical effects in electron structure for GaN/AlN quantum dots
Journal of Physics: Conference Series, vol. 107, p. 012008, 2008 - 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 - Design of Micro-Fluidic Bio-Reactors Using Topology Optimization
Journal of Computational and Theoretical Nanoscience, vol. 4, no. 4, pp. 814–816, 2007 - 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 - 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 - Numerical model for vibration damping resulting from the first-order phase transformations
Applied Mathematical Modelling, vol. 31, no. 9, pp. 2008–2018, 2007 - 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 - 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 - 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 - Coupled effects in quantum dot nanostructures with nonlinear strain and bridging modelling scales
Computers & Structures, vol. 85, no. 11-14, pp. 698–711, 2007 - 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 -
Guest Editorial
International Journal for Computational Methods in Engineering Science and Mechanics, vol. 8, no. 2, pp. 51–51, 2007 - 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 - 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 - Vibration of piezoelectric elements surrounded by fluid media
Ultrasonics, vol. 44, no. 1, pp. 64–72, 2006 - Mechanically induced phase combination in shape memory alloys by Chebyshev collocation methods
Materials Science and Engineering: A, vol. 438-440, pp. 427–430, 2006 - Model-based analysis and simulation of regenerative heat wheel
Energy and Buildings, vol. 38, no. 5, pp. 502–514, 2006 - Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys
Heat and Mass Transfer, vol. 43, no. 6, pp. 535–546, 2006 - Differential-algebraic approach to coupled problems of dynamic thermoelasticity
Applied Mathematics and Mechanics, vol. 27, no. 9, pp. 1185–1196, 2006 - 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 - 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 - Electronic structure of free-standing InP and InAs nanowires
Journal of Materials Research, vol. 21, no. 11, pp. 2927–2935, 2006 -
Two-Dimensional Analysis of Shape Memory Alloys under Small Loadings
International Journal for Multiscale Computational Engineering, vol. v4, no. i2, pp. 291–304, 2006 - 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 - The Gating Efficiency of Single-Molecule Transistors
Journal of Computational and Theoretical Nanoscience, vol. 3, no. 6, pp. 951–956, 2006 - 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 - Determination of Distance from a 2D Picture
Journal of Physics: Conference Series, vol. 52, pp. 46–57, 2006 - 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 - 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 - Non-linear strain theory for low-dimensional semiconductor structures
Nonlinear Analysis, vol. 63, no. 5-7, pp. e1607–e1617, 2005 - Nonlinear strain models in the analysis of quantum dot molecules
Nonlinear Analysis, vol. 63, no. 5-7, pp. e2165–e2176, 2005 - 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 - Electronic structure of wurtzite quantum dots with cylindrical symmetry
Applied Physics Letters, vol. 87, no. 4, p. 041906, 2005 - A general treatment of deformation effects in Hamiltonians for inhomogeneous crystalline materials
Journal of Mathematical Physics, vol. 46, no. 11, p. 112102, 2005 - Nano Letters, vol. 4, no. 2, pp. 289–292, 2004
- Prediction of barrier localization in modulated nanowires
Journal of Applied Physics, vol. 96, no. 8, p. 4660, 2004 - Modeling a nanowire superlattice using the finite difference method in cylindrical polar coordinates
Computer Physics Communications, vol. 157, no. 2, pp. 147–159, 2004 - Modeling anti-islanding protection devices for photovoltaic systems
Renewable Energy, vol. 29, no. 15, pp. 2195–2216, 2004 - Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison
Solid State Communications, vol. 132, no. 3-4, pp. 141–149, 2004 - Dynamics of shape memory alloys patches
Materials Science and Engineering A, vol. 378, no. 1-2, pp. 470–474, 2004 - 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 - Quantum confinement phenomena in nanowire superlattice structures
Mathematics and Computers in Simulation, vol. 65, no. 4-5, pp. 385–397, 2004 - 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 - Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity
Applied Numerical Mathematics, vol. 48, no. 1, pp. 41–62, 2004 - Computational models for multi-scale coupled dynamic problems
Future Generation Computer Systems, vol. 20, no. 3, pp. 453–464, 2004 - 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 - Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions
Engineering Computations, vol. 21, no. 8, pp. 834–847, 2004 - Modelling nonlinear dynamics of shape-memory-alloys with approximate models of coupled thermoelasticity
ZAMM, vol. 83, no. 2, pp. 93–104, 2003 - Computationally efficient algorithms for modelling thermal degradation and spiking phenomena in polymeric materials
Computers & Chemical Engineering, vol. 27, no. 10, pp. 1473–1484, 2003 - 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 - 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 - MODELLING COUPLED DYNAMICS: PIEZOELECTRIC ELEMENTS UNDER CHANGING TEMPERATURE CONDITIONS
International Communications in Heat and Mass Transfer, vol. 30, no. 1, pp. 83–92, 2003 - Distance geometry algorithms in molecular modelling of polymer and composite systems
Computers & Mathematics with Applications, vol. 45, no. 1-3, pp. 515–534, 2003 - Bandstructures of conical quantum dots with wetting layers
Nanotechnology, vol. 15, no. 1, pp. 1–8, 2003 - Computational analysis of temperature rise phenomena in electric induction motors
Applied Thermal Engineering, vol. 23, no. 7, pp. 779–795, 2003 - 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 - 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 - Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models
Computational Mechanics, vol. 29, no. 1, pp. 16–26, 2002 - 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 - Computational analysis of coupled physical fields in piezothermoelastic media
Computer Physics Communications, vol. 142, no. 1-3, pp. 231–237, 2001 - 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 - Discrete models of coupled dynamic thermoelasticity for stress–temperature formulations
Applied Mathematics and Computation, vol. 122, no. 1, pp. 107–132, 2001 - Bit Numerical Mathematics, vol. 41, no. 4, pp. 748–775, 2001
- COUPLED THERMOMECHANICAL WAVES IN HYPERBOLIC THERMOELASTICITY
Journal of Thermal Stresses, vol. 24, no. 2, pp. 121–140, 2001 - Journal of Engineering Mathematics, vol. 38, no. 3, pp. 233–263, 2000
- 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 - Modelling dynamics of piezoelectric solids in the two-dimensional case
Applied Mathematical Modelling, vol. 24, no. 3, pp. 147–163, 2000 - 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 - 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 - Modelling and Simulation in Materials Science and Engineering, vol. 8, no. 2, pp. 133–149, 2000
- Topological analysis of eigenvalues in engineering computations
Engineering Computations, vol. 17, no. 4, pp. 386–416, 2000 - Book review: Idempotency, edited by J. Gunawardena
Discrete Dynamics in Nature and Society, vol. 5, no. 1, pp. 75–79, 2000 - 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 - ??????? ??????? ?????????? ?????? ??? ?????????????? ???????? ??????? ???????
Ukrainian Mathematical Journal, vol. 51, no. 2, pp. 281–284, 1999 - On the Levy-Baxter theorems for shot-noise fields. II
Ukrainian Mathematical Journal, vol. 51, no. 1, pp. 11–33, 1999 - 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 - 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 - 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 - Dynamic system evolution and markov chain approximation
Discrete Dynamics in Nature and Society, vol. 2, no. 1, pp. 7–39, 1998 - 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 - On consistent regularities of control and value functions
Numerical Functional Analysis and Optimization, vol. 18, no. 3, pp. 401–426, 1997