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ORCIDRoderick V. N. Melnik
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- affiliation: Wilfrid Laurier University, Waterloo, ON, Canada
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Journal Articles
- 2024
[j20]Hina Shaheen
, Roderick Melnik, Sundeep Singh, Alzheimer's Disease Neuroimaging Initiative:
Data-driven stochastic model for quantifying the interplay between amyloid-beta and calcium levels in Alzheimer's disease. Stat. Anal. Data Min. 17(2) (2024)- 2022
- [j19]Hina Shaheen, Roderick Melnik:
Deep Brain Stimulation with a Computational Model for the Cortex-Thalamus-Basal-Ganglia System and Network Dynamics of Neurological Disorders. Comput. Math. Methods 2022: 1-17 (2022) - 2021
- [j18]Bosiljka Tadic, Roderick V. N. Melnik:
Microscopic dynamics modeling unravels the role of asymptomatic virus carriers in SARS-CoV-2 epidemics at the interplay between biological and social factors. Comput. Biol. Medicine 133: 104422 (2021) - [j17]Hina Shaheen, Sundeep Singh, Roderick N. V. Melnik:
A Neuron-Glial Model of Exosomal Release in the Onset and Progression of Alzheimer's Disease. Frontiers Comput. Neurosci. 15: 653097 (2021) - 2015
- [j16]Rakesh P. Dhote, Héctor Gómez, Roderick N. V. Melnik, Jean Zu:
Shape memory alloy nanostructures with coupled dynamic thermo-mechanical effects. Comput. Phys. Commun. 192: 48-53 (2015) - 2013
- [j15]Rakesh P. Dhote, Mauro Fabrizio, Roderick V. N. Melnik, Jean W. Zu:
Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg-Landau models. Commun. Nonlinear Sci. Numer. Simul. 18(9): 2549-2561 (2013) - [j14]Allen M. Tesdall, Jae-Hun Jung, Ilias S. Kotsireas, Roderick V. N. Melnik:
Preface. J. Comput. Sci. 4(1-2): 1-2 (2013) - 2009
- [j13]Roderick V. N. Melnik:
Coupling control and human factors in mathematical models of complex systems. Eng. Appl. Artif. Intell. 22(3): 351-362 (2009) - 2008
- [j12]Roderick V. N. Melnik:
Markov chain network training and conservation law approximations: Linking microscopic and macroscopic models for evolution. Appl. Math. Comput. 199(1): 315-333 (2008) - 2007
- [j11]Jack Xiao-Dong Yang, Roderick V. N. Melnik:
Effect of internal viscosity on Brownian dynamics of DNA molecules in shear flow. Comput. Biol. Chem. 31(2): 110-114 (2007) - [j10]D. Roy Mahapatra, Roderick V. N. Melnik:
Finite element approach to modelling evolution of 3D shape memory materials. Math. Comput. Simul. 76(1-3): 141-148 (2007) - 2004
- [j9]Roderick V. N. Melnik, Anthony H. Roberts:
Computational models for multi-scale coupled dynamic problems. Future Gener. Comput. Syst. 20(3): 453-464 (2004) - [j8]Roderick V. N. Melnik, Alex Povitsky:
Wave phenomena in physics and engineering: new models, algorithms, and applications. Math. Comput. Simul. 65(4-5): 299-302 (2004) - [j7]Morten Willatzen, Roderick V. N. Melnik, C. Galeriu, L. C. Lew Yan Voon:
Quantum confinement phenomena in nanowire superlattice structures. Math. Comput. Simul. 65(4-5): 385-397 (2004) - [j6]Piotr P. Matus, Roderick V. N. Melnik, Linxiang X. Wang, Iryna Rybak:
Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Math. Comput. Simul. 65(4-5): 489-509 (2004) - 2003
- [j5]Roderick V. N. Melnik:
Computationally efficient algorithms for modelling thermal degradation and spiking phenomena in polymeric materials. Comput. Chem. Eng. 27(10): 1473-1484 (2003) - [j4]Christo Angelov, Roderick V. N. Melnik, Jacob Buur:
The synergistic integration of mathematics, software engineering, and user-centred design: exploring new trends in education. Future Gener. Comput. Syst. 19(8): 1299-1307 (2003) - [j3]Roderick V. N. Melnik:
Numerical analysis of dynamic characteristics of coupled piezoelectric systems in acoustic media. Math. Comput. Simul. 61(3-6): 497-507 (2003) - 2001
- [j2]Roderick V. N. Melnik:
Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations. Appl. Math. Comput. 122(1): 107-132 (2001) - 2000
- [j1]Roderick V. N. Melnik:
Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory. Appl. Math. Comput. 107(1): 27-55 (2000)
Conference and Workshop Papers
- 2024
- [c35]Hina Shaheen, Roderick Melnik:
Neural Dynamics in Parkinson's Disease: Integrating Machine Learning and Stochastic Modelling with Connectomic Data. ICCS (4) 2024: 46-60 - [c34]Akshayveer, Federico C. Buroni, Roderick Melnik, Luis Rodriguez-Tembleque, Andrés Sáez:
Computational Modelling of Complex Multiphase Behavior of Environmentally-Friendly Materials for Sustainable Technological Solutions. ICCS (3) 2024: 145-153 - [c33]Swadesh Pal, Roderick Melnik:
Parkinson's Disease Progression and Treatment Dynamics Accounting for Nonlocality of Bioneurological Processes. IWBBIO (2) 2024: 42-54 - 2023
- [c32]Swadesh Pal, Roderick Melnik:
Modelling of Anti-amyloid-Beta Therapy for Alzheimer's Disease. IWBBIO (1) 2023: 431-442 - 2022
- [c31]Thi Kim Thoa Thieu, Roderick V. N. Melnik:
Effects of Noise on Leaky Integrate-and-Fire Neuron Models for Neuromorphic Computing Applications. ICCSA (1) 2022: 3-18 - [c30]Swadesh Pal, Hina Shaheen, Roderik Melnik:
The Influence of Amyloid-Beta on Calcium Dynamics in Alzheimer's Disease: A Spatio-Temporal Study. ICCSA (Workshops 1) 2022: 308-322 - [c29]Swadesh Pal, Roderick V. N. Melnik:
The Role of Astrocytes in Alzheimer's Disease Progression. IWBBIO (1) 2022: 47-58 - [c28]Thi Kim Thoa Thieu, Roderick V. N. Melnik:
Effects of Random Inputs and Short-Term Synaptic Plasticity in a LIF Conductance Model for Working Memory Applications. IWBBIO (1) 2022: 59-72 - 2021
- [c27]Swadesh Pal, Roderick V. N. Melnik:
Pathology Dynamics in Healthy-Toxic Protein Interaction and the Multiscale Analysis of Neurodegenerative Diseases. ICCS (5) 2021: 528-540 - 2020
- [c26]Sundeep Singh, Roderick V. N. Melnik:
Microtubule Biomechanics and the Effect of Degradation of Elastic Moduli. ICCS (6) 2020: 348-358 - [c25]Sundeep Singh, Roderick V. N. Melnik:
Coupled Electro-mechanical Behavior of Microtubules. IWBBIO 2020: 75-86 - 2019
- [c24]Sundeep Singh, Roderick V. N. Melnik:
Computational Analysis of Pulsed Radiofrequency Ablation in Treating Chronic Pain. ICCS (4) 2019: 436-450 - [c23]Sundeep Singh, Roderick V. N. Melnik:
Effects of Heterogeneous Surroundings on the Efficacy of Continuous Radiofrequency for Pain Relief. ICVISP 2019: 25:1-25:5 - [c22]Sundeep Singh, Roderick V. N. Melnik:
Radiofrequency Ablation for Treating Chronic Pain of Bones: Effects of Nerve Locations. IWBBIO (2) 2019: 418-429 - 2016
- [c21]Sanjay Prabhakar, Roderick V. N. Melnik, Luis L. Bonilla:
Modeling And Analysis Of Spin Splitting In Strained Graphene Nanoribbons. ECMS 2016: 388-392 - 2015
- [c20]Shyam R. Badu, Roderik Melnik, Sanjay Prabhakar:
Transport Properties of RNA Nanotubes Using Molecular Dynamics Simulation. IWBBIO (2) 2015: 578-583 - 2014
- [c19]Sanjay Prabhakar, Roderick V. N. Melnik, Ali Sebetci:
Modeling And Control Of Berry Phase In Quantum Dots. ECMS 2014: 166-170 - [c18]Shyam R. Badu, Roderik Melnik, Maxim V. Paliy, Sanjay Prabhakar, Ali Sebetci, Bruce A. Shapiro:
High Performance Computing Studies of RNA Nanotubes. IWBBIO 2014: 601-607 - 2013
- [c17]Rakesh P. Dhote, Héctor Gómez, Roderick N. V. Melnik, Jean Zu:
Isogeometric Analysis of Coupled Thermo-Mechanical Phase-Field Models for Shape Memory Alloys Using Distributed Computing. ICCS 2013: 1068-1076 - 2010
- [c16]Olena Tsviliuk, Roderick V. N. Melnik, Di Zhang:
Evolutionary Monte Carlo Based Techniques for First Passage Time Problems in Credit Risk and Other Applications in Finance. EvoApplications (2) 2010: 232-241 - [c15]Olena Tsviliuk, Di Zhang, Roderick V. N. Melnik:
Complex systems in finance: Monte Carlo evaluation of first passage time density functions. ICCS 2010: 2381-2389 - 2008
- [c14]Niraj Sinha, D. Roy Mahapatra, Roderick V. N. Melnik, John T. W. Yeow:
Computational Implementation of a New Multiphysics Model for Field Emission from CNT Thin Films. ICCS (2) 2008: 197-206 - 2007
- [c13]Jack Xiao-Dong Yang, Roderick V. N. Melnik:
A New Constitutive Model for the Analysis of Semi-flexible Polymers with Internal Viscosity. International Conference on Computational Science (1) 2007: 834-841 - [c12]Linxiang X. Wang, Morten Willatzen, Roderick V. N. Melnik:
Modelling of Reciprocal Transducer System Accounting for Nonlinear Constitutive Relations. World Congress on Engineering 2007: 1242-1246 - 2006
- [c11]D. Roy Mahapatra, Roderick V. N. Melnik:
Numerical Simulation of Phase Transformations in Shape Memory Alloy Thin Films. International Conference on Computational Science (2) 2006: 114-121 - 2005
- [c10]D. Roy Mahapatra, Roderick V. N. Melnik:
Computational Modeling of Coupled Dynamic Phase Transformations in Shape Memory Alloys. HPCS 2005: 267-273 - [c9]D. Roy Mahapatra, Roderick V. N. Melnik:
A Dynamic Model for Phase Transformations in 3D Samples of Shape Memory Alloys. International Conference on Computational Science (3) 2005: 25-32 - [c8]Xilin Wei, Roderick V. N. Melnik, Gabriel Moreno-Hagelsieb:
Modelling Dynamics of Genetic Networks as a Multiscale Process. International Conference on Computational Science (3) 2005: 134-138 - [c7]Linxiang X. Wang, Roderick V. N. Melnik:
Simulation of Nonlinear Thermomechanical Waves with an Empirical Low Dimensional Model. International Conference on Computational Science (1) 2005: 884-891 - 2004
- [c6]Linxiang X. Wang, Roderick V. N. Melnik:
Thermomechanical Waves in SMA Patches under Small Mechanical Loadings. International Conference on Computational Science 2004: 645-652 - [c5]Nenad Radulovic, Morten Willatzen, Roderick V. N. Melnik:
Resonant Tunneling Heterostructure Devices - Dependencies on Thickness and Number of Quantum Wells. ICCSA (3) 2004: 817-826 - 2003
- [c4]Roderick V. N. Melnik, Kate N. Zotsenko:
Computations of Coupled Electronic States in Quantum Dot/Wetting Layer Cylindrical Structures. International Conference on Computational Science 2003: 343-349 - [c3]Morten Willatzen, Roderick V. N. Melnik, C. Galeriu, L. C. Lew Yan Voon:
Finite Element Analysis of Nanowire Superlattice Structures. ICCSA (2) 2003: 755-763 - [c2]Roderick V. N. Melnik, Linxiang X. Wang, Piotr P. Matus, Iryna Rybak:
Computational Aspects of Conservative Difference Schemes for Shape Memory Alloys Applications. ICCSA (2) 2003: 791-800 - 2002
- [c1]Roderick V. N. Melnik, Anthony J. Roberts:
Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena. International Conference on Computational Science (2) 2002: 490-499
Reference Works
- 2009
- [r1]Roderick V. N. Melnik:
Nanoscale Processes, Modeling Coupled and Transport Phenomena in Nanotechnology. Encyclopedia of Complexity and Systems Science 2009: 5912-5925
Informal and Other Publications
- 2021
- [i10]Thi Kim Thoa Thieu, Roderick V. N. Melnik:
Reflecting stochastic dynamics of active-passive crowds in a queueing theory model. CoRR abs/2102.07766 (2021) - 2007
- [i9]Roderick V. N. Melnik:
Linking Microscopic and Macroscopic Models for Evolution: Markov Chain Network Training and Conservation Law Approximations. CoRR abs/cs/0702148 (2007) - [i8]Roderick V. N. Melnik:
Coupling Control and Human-Centered Automation in Mathematical Models of Complex Systems. CoRR abs/cs/0702149 (2007) - [i7]Di Zhang, Roderick V. N. Melnik:
First Passage Time for Multivariate Jump-diffusion Stochastic Models With Applications in Finance. CoRR abs/cs/0702163 (2007) - [i6]Di Zhang, Roderick V. N. Melnik:
Monte-Carlo Simulations of the First Passage Time for Multivariate Jump-Diffusion Processes in Financial Applications. CoRR abs/cs/0702164 (2007) - [i5]Di Zhang, Roderick V. N. Melnik:
Efficient estimation of default correlation for multivariate jump-diffusion processes. CoRR abs/cs/0702165 (2007) - [i4]Di Zhang, Roderick V. N. Melnik:
Solving Stochastic Differential Equations with Jump-Diffusion Efficiently: Applications to FPT Problems in Credit Risk. CoRR abs/cs/0702166 (2007) - [i3]Linxiang X. Wang, Roderick V. N. Melnik:
Finite Volume Analysis of Nonlinear Thermo-mechanical Dynamics of Shape Memory Alloys. CoRR abs/cs/0702167 (2007) - [i2]Linxiang X. Wang, Roderick V. N. Melnik:
Simulation of Phase Combinations in Shape Memory Alloys Patches by Hybrid Optimization Methods. CoRR abs/cs/0702168 (2007) - [i1]Linxiang X. Wang, Roderick V. N. Melnik:
Numerical Model For Vibration Damping Resulting From the First Order Phase Transformations. CoRR abs/cs/0702172 (2007)
Coauthor Index
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