Entering: Papers

Where I research

My research space. Academic work, papers, and research contributions in computational physics, quantum transport, and computational methods.

Journal Articles

Exponential functionally graded plates resting on Winkler–Pasternak foundation: Free vibration analysis by dynamic stiffness method

Archive of Applied MechanicsSeptember 2023

Manish Chauhan, Sarvagya Dwivedi, Ratneshwar Jha, Vinayak Ranjan

JOURNAL
Co-developed exponential-law DSM with neutral-surface correction; implemented custom eigenvalue solver.
Generated benchmark frequency tables and sensitivity plots across gradation indices and foundation stiffnesses.
Established exponential grading increases frequencies via stiffness; Winkler–Pasternak coupling critically affects modes.

Development of the Dynamic Stiffness Method for the Out-of-Plane Natural Vibration of an Orthotropic Plate

Applied SciencesVol. 12(20), Article 10453703October 2022

Manish Chauhan, Pawan Mishra, Sarvagya Dwivedi, Minvydas Ragulskis, Rafał Burdzik, Vinayak Ranjan

JOURNAL
Co-authored DSM derivation for orthotropic plates; integrated Wittrick–Williams algorithm for exact modal enumeration.
Validated against FEM benchmarks; published frequency datasets for analytical comparison.
Captured orthotropic coupling effects with excellent agreement to numerical and analytical results.

Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

Applied SciencesVol. 12(15), 7707August 2022

Baijnath Singh, R.N. Hota, Sarvagya Dwivedi, Ratneshwar Jha, Vinayak Ranjan, Kamil Řehák

JOURNAL
Built acoustic radiation solver using elemental radiator model with physical neutral-surface corrections.
Automated parametric simulations across power-law index, modulus ratio, and damping; visualized results.
Showed higher stiffness gradation and modulus ratio reduce sound-power peaks; constituent choice shifts resonance bands.

Acoustic Response of Sigmoid Functionally Graded Thin Plates: A Parametric Investigation

Journal of Vibration Engineering & TechnologiesSeptember 2022

Baij Nath Singh, R. N. Hota, Sarvagya Dwivedi, Ratneshwar Jha, Vinayak Ranjan

JOURNAL
Built vibro-acoustic solver coupling plate theory with Rayleigh integral for far-field radiation prediction.
Ran parametric sweeps across sigmoid index, damping, and boundary conditions; analyzed radiation efficiency vs frequency.
Found radiation efficiency peaks sharply near resonance, modulated by gradation law with low damping sensitivity.

Sigmoid functionally graded plates embedded on Winkler–Pasternak foundation: Free vibration analysis by dynamic stiffness method

Composite StructuresVol. 288, 115400May 2022

Manish Chauhan, Sarvagya Dwivedi, Ratneshwar Jha, Vinayak Ranjan, Prabhakar Sathujoda

JOURNAL
Implemented DSM with Wittrick–Williams modal count for sigmoid-graded plates on elastic foundations.
Coded eigen-solver with automated parameter sweeps across gradation, boundary, and foundation stiffness.
Achieved high-accuracy natural frequencies with faster convergence than FEM at lower computational cost.

Oral Presentations

Efficient Algorithmic Solution for Large-Scale Eigenvalue Problems: From Structural Vibrations to Complex Systems

Penn-York Undergraduate Research Conference, University of Pittsburgh at Bradford, PANovember 2025

Sarvagya Dwivedi

ORAL
Developed algorithmic framework coupling Dynamic Stiffness Method (DSM) with Wittrick–Williams eigenvalue search for efficient large-scale eigenvalue problems.
Implemented Python and MATLAB-based solver automating frequency-dependent DSM matrix assembly and eigenvalue computation for functionally graded plates.
Demonstrated computational efficiency improvements over conventional FEM approaches while maintaining high accuracy in natural frequency prediction.

Posters

Quantum Transport from First Principles: A Self-Consistent DFT + NEGF Implementation in Python

SURP Conference, Rowan UniversityAugust 2025

Sarvagya Dwivedi

POSTER
Coupled PySCF (DFT) with custom NEGF loop (Green's function, self-energy, broadening, transmission) for self-consistent transport.
Benchmarked zero-bias transmission spectra; identified delocalized, strongly coupled orbitals dominate conductance.
Outlined extensions to spin-polarized and MC-PDFT + NEGF for correlated-system transport.

Self-Consistent NEGF Approach for Molecular Transport: A Python-Based Computational Framework

Rowan University SSE SymposiumAugust 2025

Sarvagya Dwivedi

POSTER
Implemented self-consistent NEGF + DFT coupling solver in Python with Anderson mixing convergence acceleration.
Validated numerical equivalence to TranSiesta for Li-molecular devices, confirming framework accuracy.
Demonstrated capability for self-consistent transport calculations in molecular electronics.

Low-Rank Hankel SVD Spectral Learning for Regime Shift Detection in Financial Markets

Penn-York Undergraduate Research Conference, University of Pittsburgh at Bradford, PANovember 2025

Sarvagya Dwivedi

POSTER
Developed low-rank spectral learning framework using Hankel–SVD decomposition for detecting and characterizing regime shifts in financial markets.
Implemented multi-channel Hankel embedding (price, volume, momentum) to reconstruct latent state-space dynamics, defining Regime Coherence Index as interpretable stability indicator.
Demonstrated that coherent, low-rank spectral concentration corresponds to stable macro-regimes, while spectral flattening signals structural transitions such as the 2008 crisis and 2020 COVID-19 crash.

Conference Papers

Effect of Power-Law Index and Modulus Ratio on Sound Radiation from Functionally Graded Material Plates by Elemental Radiator Approach

Online Symposium on Fluid–Structure Interaction, Vibrations, Aeroelasticity (FSIVA), October 14–152021

Baijnath Singh, R.N. Hota, Sarvagya Dwivedi, Ratneshwar Jha, Vinayak Ranjan

CONFERENCE
Investigated sound radiation behavior of functionally graded material plates using elemental radiator approach.
Analyzed effects of power-law index and modulus ratio on acoustic radiation characteristics.
Established foundational methodology for subsequent vibro-acoustic analysis of graded plates.

Application of Dynamic Stiffness Method for Free Vibration Analysis of Thin Functionally Graded Plates

Online Symposium on Aeroelasticity, Fluid–Structure Interaction, and Vibrations (FSIVA), October 14–152021

Manish Chauhan, Prabhakar Sathujoda, Sarvagya Dwivedi, Ratneshwar Jha, Vinayak Ranjan

CONFERENCE
Applied Dynamic Stiffness Method (DSM) for free vibration analysis of thin functionally graded plates.
Developed computational framework for analyzing natural frequencies and mode shapes in graded structures.
Established methodology foundation for subsequent DSM-based FGM plate research.

Manuscripts in Preparation

Spectral State-Space Modeling of Financial Market Regimes Using Multi-Channel Hankel Low-Rank Embeddings

Intended: Physics D / Journal of Computational Finance2025MANUSCRIPT

Sarvagya Dwivedi

Developing spectral state-space modeling framework for financial market regime detection using multi-channel Hankel embeddings.
Extending low-rank spectral learning methods to characterize regime transitions and stability indicators.
Targeting submission to Physics D / Journal of Computational Finance.

Physics-Informed Surrogate Modeling of Functionally Graded Plate Natural Frequencies Using Hankel–SVD Features and the Wittrick–Williams Algorithm Derived from Dynamic Stiffness Data

Intended: Composite Structures / Applied Mathematical Modelling2025MANUSCRIPT

Sarvagya Dwivedi

Developing physics-informed surrogate models for rapid prediction of functionally graded plate natural frequencies.
Combining Hankel–SVD spectral features with Wittrick–Williams algorithm insights from dynamic stiffness data.
Aiming to compete for ICCS29 Best Student Paper Award.
Targeting submission to Composite Structures / Applied Mathematical Modelling.

Data-Driven Quantum Transport Simulation Using Multi-Functional Computational Methods

Intended: Computational Materials Science / Physical Chemistry Chemical Physics2025MANUSCRIPT

Sarvagya Dwivedi

Developing data-driven approaches for quantum transport simulation using multi-functional computational methods.
Integrating machine learning surrogates with traditional DFT + NEGF frameworks for accelerated calculations.
Targeting submission to Computational Materials Science / Physical Chemistry Chemical Physics.