Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory. - Roderick V. N. Melnik (Appl. Math. Comput., 2000)

Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations. - Roderick V. N. Melnik (Appl. Math. Comput., 2001)

Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena. - Roderick V. N. Melnik; Anthony J. Roberts (International Conference on Computational Science (2), 2002)

Computations of Coupled Electronic States in Quantum Dot/Wetting Layer Cylindrical Structures. - Roderick V. N. Melnik; Kate N. Zotsenko (International Conference on Computational Science, 2003)

Computational Aspects of Conservative Difference Schemes for Shape Memory Alloys Applications. - Roderick V. N. Melnik; Linxiang X. Wang; Piotr P. Matus; Iryna Rybak (ICCSA (2), 2003)

Finite Element Analysis of Nanowire Superlattice Structures. - Morten Willatzen; Roderick V. N. Melnik; C. Galeriu; L. C. Lew Yan Voon (ICCSA (2), 2003)

Computationally efficient algorithms for modelling thermal degradation and spiking phenomena in polymeric materials. - Roderick V. N. Melnik (Comput. Chem. Eng., 2003)

The synergistic integration of mathematics, software engineering, and user-centred design: exploring new trends in education. - Christo Angelov; Roderick V. N. Melnik; Jacob Buur (Future Gener. Comput. Syst., 2003)

Numerical analysis of dynamic characteristics of coupled piezoelectric systems in acoustic media. - Roderick V. N. Melnik (Math. Comput. Simul., 2003)

Thermomechanical Waves in SMA Patches under Small Mechanical Loadings. - Linxiang X. Wang; Roderick V. N. Melnik (International Conference on Computational Science, 2004)

Resonant Tunneling Heterostructure Devices - Dependencies on Thickness and Number of Quantum Wells. - Nenad Radulovic; Morten Willatzen; Roderick V. N. Melnik (ICCSA (3), 2004)

Computational models for multi-scale coupled dynamic problems. - Roderick V. N. Melnik; Anthony H. Roberts (Future Gener. Comput. Syst., 2004)

Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. - Piotr P. Matus; Roderick V. N. Melnik; Linxiang X. Wang; Iryna Rybak (Math. Comput. Simul., 2004)

Wave phenomena in physics and engineering: new models, algorithms, and applications. - Roderick V. N. Melnik; Alex Povitsky (Math. Comput. Simul., 2004)

Quantum confinement phenomena in nanowire superlattice structures. - Morten Willatzen; Roderick V. N. Melnik; C. Galeriu; L. C. Lew Yan Voon (Math. Comput. Simul., 2004)

Computational Modeling of Coupled Dynamic Phase Transformations in Shape Memory Alloys. - D. Roy Mahapatra; Roderick V. N. Melnik (HPCS, 2005)

A Dynamic Model for Phase Transformations in 3D Samples of Shape Memory Alloys. - D. Roy Mahapatra; Roderick V. N. Melnik (International Conference on Computational Science (3), 2005)

Simulation of Nonlinear Thermomechanical Waves with an Empirical Low Dimensional Model. - Linxiang X. Wang; Roderick V. N. Melnik (International Conference on Computational Science (1), 2005)

Modelling Dynamics of Genetic Networks as a Multiscale Process. - Xilin Wei; Roderick V. N. Melnik; Gabriel Moreno-Hagelsieb (International Conference on Computational Science (3), 2005)

Numerical Simulation of Phase Transformations in Shape Memory Alloy Thin Films. - D. Roy Mahapatra; Roderick V. N. Melnik (International Conference on Computational Science (2), 2006)

A New Constitutive Model for the Analysis of Semi-flexible Polymers with Internal Viscosity. - Jack Xiao-Dong Yang; Roderick V. N. Melnik (International Conference on Computational Science (1), 2007)

Modelling of Reciprocal Transducer System Accounting for Nonlinear Constitutive Relations. - Linxiang X. Wang; Morten Willatzen; Roderick V. N. Melnik (World Congress on Engineering, 2007)

Effect of internal viscosity on Brownian dynamics of DNA molecules in shear flow. - Jack Xiao-Dong Yang; Roderick V. N. Melnik (Comput. Biol. Chem., 2007)

Linking Microscopic and Macroscopic Models for Evolution: Markov Chain Network Training and Conservation Law Approximations - Roderick V. N. Melnik (CoRR, 2007)

Coupling Control and Human-Centered Automation in Mathematical Models of Complex Systems - Roderick V. N. Melnik (CoRR, 2007)

First Passage Time for Multivariate Jump-diffusion Stochastic Models With Applications in Finance - Di Zhang; Roderick V. N. Melnik (CoRR, 2007)

Monte-Carlo Simulations of the First Passage Time for Multivariate Jump-Diffusion Processes in Financial Applications - Di Zhang; Roderick V. N. Melnik (CoRR, 2007)

Efficient estimation of default correlation for multivariate jump-diffusion processes - Di Zhang; Roderick V. N. Melnik (CoRR, 2007)

Solving Stochastic Differential Equations with Jump-Diffusion Efficiently: Applications to FPT Problems in Credit Risk - Di Zhang; Roderick V. N. Melnik (CoRR, 2007)

Finite Volume Analysis of Nonlinear Thermo-mechanical Dynamics of Shape Memory Alloys - Linxiang X. Wang; Roderick V. N. Melnik (CoRR, 2007)

Simulation of Phase Combinations in Shape Memory Alloys Patches by Hybrid Optimization Methods - Linxiang X. Wang; Roderick V. N. Melnik (CoRR, 2007)

Numerical Model For Vibration Damping Resulting From the First Order Phase Transformations - Linxiang X. Wang; Roderick V. N. Melnik (CoRR, 2007)

Finite element approach to modelling evolution of 3D shape memory materials. - D. Roy Mahapatra; Roderick V. N. Melnik (Math. Comput. Simul., 2007)

Computational Implementation of a New Multiphysics Model for Field Emission from CNT Thin Films. - Niraj Sinha; D. Roy Mahapatra; Roderick V. N. Melnik; John T. W. Yeow (ICCS (2), 2008)

Markov chain network training and conservation law approximations: Linking microscopic and macroscopic models for evolution. - Roderick V. N. Melnik (Appl. Math. Comput., 2008)

Coupling control and human factors in mathematical models of complex systems. - Roderick V. N. Melnik (Eng. Appl. Artif. Intell., 2009)

Nanoscale Processes, Modeling Coupled and Transport Phenomena in Nanotechnology. - Roderick V. N. Melnik (Encyclopedia of Complexity and Systems Science, 2009)

Evolutionary Monte Carlo Based Techniques for First Passage Time Problems in Credit Risk and Other Applications in Finance. - Olena Tsviliuk; Roderick V. N. Melnik; Di Zhang (EvoApplications (2), 2010)

Complex systems in finance: Monte Carlo evaluation of first passage time density functions. - Olena Tsviliuk; Di Zhang; Roderick V. N. Melnik (ICCS, 2010)

Isogeometric Analysis of Coupled Thermo-Mechanical Phase-Field Models for Shape Memory Alloys Using Distributed Computing. - Rakesh P. Dhote; Héctor Gómez; Roderick N. V. Melnik; Jean Zu (ICCS, 2013)

Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg-Landau models. - Rakesh P. Dhote; Mauro Fabrizio; Roderick V. N. Melnik; Jean W. Zu (Commun. Nonlinear Sci. Numer. Simul., 2013)

Preface. - Allen M. Tesdall; Jae-Hun Jung; Ilias S. Kotsireas; Roderick V. N. Melnik (J. Comput. Sci., 2013)

Modeling And Control Of Berry Phase In Quantum Dots. - Sanjay Prabhakar; Roderick V. N. Melnik; Ali Sebetci (ECMS, 2014)

High Performance Computing Studies of RNA Nanotubes. - Shyam R. Badu; Roderik Melnik; Maxim V. Paliy; Sanjay Prabhakar; Ali Sebetci; Bruce A. Shapiro (IWBBIO, 2014)

Transport Properties of RNA Nanotubes Using Molecular Dynamics Simulation. - Shyam R. Badu; Roderik Melnik; Sanjay Prabhakar (IWBBIO (2), 2015)

Shape memory alloy nanostructures with coupled dynamic thermo-mechanical effects. - Rakesh P. Dhote; Héctor Gómez; Roderick N. V. Melnik; Jean Zu (Comput. Phys. Commun., 2015)

Modeling And Analysis Of Spin Splitting In Strained Graphene Nanoribbons. - Sanjay Prabhakar; Roderick V. N. Melnik; Luis L. Bonilla (ECMS, 2016)

Computational Analysis of Pulsed Radiofrequency Ablation in Treating Chronic Pain. - Sundeep Singh; Roderick V. N. Melnik (ICCS (4), 2019)

Effects of Heterogeneous Surroundings on the Efficacy of Continuous Radiofrequency for Pain Relief. - Sundeep Singh; Roderick V. N. Melnik (ICVISP, 2019)

Radiofrequency Ablation for Treating Chronic Pain of Bones: Effects of Nerve Locations. - Sundeep Singh; Roderick V. N. Melnik (IWBBIO (2), 2019)

Microtubule Biomechanics and the Effect of Degradation of Elastic Moduli. - Sundeep Singh; Roderick V. N. Melnik (ICCS (6), 2020)

Coupled Electro-mechanical Behavior of Microtubules. - Sundeep Singh; Roderick V. N. Melnik (IWBBIO, 2020)

Pathology Dynamics in Healthy-Toxic Protein Interaction and the Multiscale Analysis of Neurodegenerative Diseases. - Swadesh Pal; Roderick V. N. Melnik (ICCS (5), 2021)

Microscopic dynamics modeling unravels the role of asymptomatic virus carriers in SARS-CoV-2 epidemics at the interplay between biological and social factors. - Bosiljka Tadic; Roderick V. N. Melnik (Comput. Biol. Medicine, 2021)

Reflecting stochastic dynamics of active-passive crowds in a queueing theory model. - Thi Kim Thoa Thieu; Roderick V. N. Melnik (CoRR, 2021)

A Neuron-Glial Model of Exosomal Release in the Onset and Progression of Alzheimer's Disease. - Hina Shaheen; Sundeep Singh; Roderick N. V. Melnik (Frontiers Comput. Neurosci., 2021)

The Influence of Amyloid-Beta on Calcium Dynamics in Alzheimer's Disease: A Spatio-Temporal Study. - Swadesh Pal; Hina Shaheen; Roderik Melnik (ICCSA (Workshops 1), 2022)

Effects of Noise on Leaky Integrate-and-Fire Neuron Models for Neuromorphic Computing Applications. - Thi Kim Thoa Thieu; Roderick V. N. Melnik (ICCSA (1), 2022)

The Role of Astrocytes in Alzheimer's Disease Progression. - Swadesh Pal; Roderick V. N. Melnik (IWBBIO (1), 2022)

Effects of Random Inputs and Short-Term Synaptic Plasticity in a LIF Conductance Model for Working Memory Applications. - Thi Kim Thoa Thieu; Roderick V. N. Melnik (IWBBIO (1), 2022)

Deep Brain Stimulation with a Computational Model for the Cortex-Thalamus-Basal-Ganglia System and Network Dynamics of Neurological Disorders. - Hina Shaheen; Roderick Melnik (Comput. Math. Methods, 2022)

Modelling of Anti-amyloid-Beta Therapy for Alzheimer's Disease. - Swadesh Pal; Roderick Melnik (IWBBIO (1), 2023)

Computational Modelling of Complex Multiphase Behavior of Environmentally-Friendly Materials for Sustainable Technological Solutions. - Akshayveer; Federico C. Buroni; Roderick Melnik; Luis Rodríguez-Tembleque; Andrés Sáez (ICCS (3), 2024)

Neural Dynamics in Parkinson's Disease: Integrating Machine Learning and Stochastic Modelling with Connectomic Data. - Hina Shaheen; Roderick Melnik (ICCS (4), 2024)

Parkinson's Disease Progression and Treatment Dynamics Accounting for Nonlocality of Bioneurological Processes. - Swadesh Pal; Roderick Melnik (IWBBIO (2), 2024)

Data-driven stochastic model for quantifying the interplay between amyloid-beta and calcium levels in Alzheimer's disease. - Hina Shaheen; Roderick Melnik; Sundeep Singh; Alzheimer's Disease Neuroimaging Initiative (Stat. Anal. Data Min., 2024)

Brain Network Dynamics and Multiscale Modeling of Neurodegenerative Disorders: A Review. - Hina Shaheen; Roderick Melnik (IEEE Access, 2025)

Bayesian approaches for revealing complex neural network dynamics in Parkinson's disease. - Hina Shaheen; Roderick Melnik (J. Comput. Sci., 2025)

Complex non-Markovian dynamics and the dual role of astrocytes in Alzheimer's disease development and propagation. - Swadesh Pal; Roderick Melnik (Quant. Biol., 2025)

Nonlinear Dynamical Systems for Automatic Face Annotation in Head Tracking and Pose Estimation. - Thi Kim Thoa Thieu; Roderick Melnik (CoRR, 2025)

A Stochastic Nonlinear Dynamical System for Smoothing Noisy Eye Gaze Data. - Thoa Thieu; Roderick Melnik (CoRR, 2025)