2026

  1. M. Vasilyeva, R. Pangilinan (2026). Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow in Random Heterogeneous Porous Media. arXiv:2606.25820. Under review.

  2. M. Vasilyeva, Z. Wei, K. Gajamannage, H. Ji, A. Krasnikov, A. Sadovski (2026). Learning Ecological and Epidemic Processes using Neural ODEs, Kolmogorov–Arnold Network ODEs and SINDy. arXiv:2601.09811. Under review.

  3. M. Vasilyeva, J. Brannick, B. S. Southworth (2026). Multiscale Graph Reduction for Heterogeneous and Anisotropic Discrete Diffusion Processes. arXiv:2510.10894. Under review.

  4. M. Vasilyeva, B. S. Southworth, S. Fu (2026). An adaptive two-grid preconditioner and linearly implicit scheme for shale gas transport in fractured porous media. Computational Geosciences, 30(4), 55.

  5. M. Vasilyeva, B. S. Southworth, Y. He, M. Wang (2026). Implicit-Explicit Scheme with Multiscale Vanka Two-Grid Solver for Heterogeneous Unsaturated Poroelasticity. Electronic Transactions on Numerical Analysis, 66, 1–31.

  6. M. Vasilyeva, N. A. Mbroh, D. Spiridonov, T. Timofeeva (2026). An implicit-explicit scheme and adaptive multiscale approximation of generalized Forchheimer flow in fractured porous media. Computers & Mathematics with Applications, 211, 1–25.

2025

  1. M. Vasilyeva, G. Wimmer, B. S. Southworth (2025). Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow. Journal of Computational Physics, 538, 114201.

  2. M. Vasilyeva, A. Krasnikov, K. Gajamannage, M. Mehrubeoglu (2025). Multiscale method for image denoising using nonlinear diffusion process: Local denoising and spectral multiscale basis functions. Journal of Computational and Applied Mathematics, 470, 116733.

  3. N. A. Mbroh, S. Stepanov, M. Vasilyeva, A. Sadovski, H. Ji (2025). Multiscale scheme for a time-fractional multispecies reaction-diffusion model. Journal of Computational and Applied Mathematics, 117251.

  4. H. Ji, M. Vasilyeva, N. A. Mbroh, A. Sadovski (2025). Epidemic dynamics in the spatio-temporal predator-prey model. Frontiers in Applied Mathematics and Statistics, 11, 1642676.

  5. K. Gajamannage, D. I. Jayathilake, M. Vasilyeva (2025). Efficient and robust remote sensing image denoising—a manifold learning framework with randomized approximations. International Journal of Remote Sensing, 46(12), 4455–4478.

  6. M. Vasilyeva (2025). Generalized Multiscale Finite Element Method for discrete network (graph) models. Journal of Computational and Applied Mathematics, 457, 116275.

2024

  1. M. Vasilyeva (2024). Implicit-Explicit schemes for decoupling multicontinuum problems in porous media. Journal of Computational Physics, 519, 113425.

  2. M. Vasilyeva, R. Coffin, I. Pecher (2024). Decoupled multiscale numerical approach for reactive transport in marine sediment column. Computer Methods in Applied Mechanics and Engineering, 428, 117087.

  3. M. Vasilyeva, S. M. Mallikarjunaiah (2024). Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model. Multiscale Modeling & Simulation, 22(1), 334–368.

  4. D. Spiridonov, M. Vasilyeva (2024). Non-local multi-continuum method (NLMC) for Darcy–Forchheimer flow in fractured media. Journal of Computational and Applied Mathematics, 438, 115574.

2023

  1. M. Vasilyeva, N. A. Mbroh, M. Mehrubeoglu (2023). Lower-Dimensional Model of Flow and Transport Processes in Thin Domains by Numerical Averaging Technique. Fluids, 9(1), 4.

  2. M. Vasilyeva (2023). Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media. Journal of Computational Physics, 487, 112134.

  3. M. Vasilyeva, D. Spiridonov (2023). Multiscale Model Reduction with Local Online Correction for Polymer Flooding Process in Heterogeneous Porous Media. Mathematics, 11(14), 3104.

  4. R. Coffin, M. Vasilyeva, I. Pecher, D. McConnell (2023). The Importance of Secondary Traps and Sinks in Offshore CO2 Sequestration. Offshore Technology Conference, D011S002R009.

  5. A. Tyrylgin, M. Vasilyeva, A. Alikhanov, D. Sheen (2023). A computational macroscale model for time-fractional poroelasticity in fractured and heterogeneous media. Journal of Computational and Applied Mathematics, 418, 114670.

  6. M. Vasilyeva, S. Stepanov, A. Sadovski, S. Henry (2023). Uncoupling techniques for multispecies diffusion–reaction models. Computation, 11(8), 153.

  7. U. Kalachikova, M. Vasilyeva, I. Harris, E. T. Chung (2023). Generalized Multiscale Finite Element Method for scattering problems in heterogeneous media. Journal of Computational and Applied Mathematics, 424, 114977.

  8. M. Vasilyeva, A. Sadovski, D. Palaniappan (2023). Multiscale solver for multi-component reaction–diffusion systems in heterogeneous media. Journal of Computational and Applied Mathematics, 427, 115150.

  9. Y. Wang, M. Vasilyeva, S. Stepanov, A. Sadovski (2023). Numerical investigation and factor analysis of a two-species spatial-temporal competition system after catastrophic events. WSEAS Transactions on Systems, 22(1), 423–436.

  10. M. Vasilyeva, S. M. Mallikarjunaiah, D. Palaniappan (2023). Multiscale model reduction for fluid flows with heterogeneous porous inclusions. Journal of Computational and Applied Mathematics, 424, 114976.

  11. D. Ammosov, M. Vasilyeva (2023). Online Multiscale Finite Element Simulation of a Thermo-Mechanical Model with Phase Change. Computation, 11(4), 71.

2022

  1. M. Vasilyeva, Y. Wang, S. Stepanov, A. Sadovski (2022). Numerical investigation and factor analysis of the spatial-temporal multi-species competition problem. WSEAS Transactions on Mathematics.

  2. A. Tyrylgin, S. Stepanov, D. Ammosov, A. Grigorev, M. Vasilyeva (2022). Partial Learning using Partially Explicit Discretization for Multicontinuum/Multiscale Problems with Limited Observation. Mathematics, 10(15), 2629.

  3. D. Ammosov, Y. Efendiev, E. Grekova, M. Vasilyeva (2022). Generalized macroscale model for Cosserat elasticity using Generalized Multiscale Finite Element Method. Journal of Computational Physics, 461, 111011.

  4. D. Ammosov, V. Vasil'ev, M. Vasilyeva, S. Stepanov (2022). Multiscale model reduction for a thermoelastic model with phase change. Theoretical and Mathematical Physics, 211(2), 595–610.

  5. D. Spiridonov, M. Vasilyeva, M. Wang, E. T. Chung (2022). Mixed Generalized Multiscale Finite Element Method for flow in thin domains. Journal of Computational and Applied Mathematics, 114577.

  6. D. Ammosov, M. Vasilyeva, E. T. Chung (2022). Generalized Multiscale Finite Element Method for thermoporoelasticity problems in heterogeneous and fractured media. Journal of Computational and Applied Mathematics, 407, 113995.

  7. E. T. Chung, U. Kalachikova, M. Vasilyeva, V. Alekseev (2022). Generalized multiscale discontinuous Galerkin method for convection–diffusion in perforated media. Mathematics and Computers in Simulation, 193, 666–688.

  8. D. Ammosov, M. Vasilyeva, A. Nasedkin, Y. Efendiev (2022). Generalized Multiscale Finite Element Method for a piezoelectric problem in heterogeneous media. Engineering Analysis with Boundary Elements, 135, 12–25.

For publications from earlier years, see the full list on Google Scholar →

Proceedings

Conference papers

  1. M. Vasilyeva, A. Krasnikov, H. Ji, A. Sadovski. Averaged Dynamics of Eco-Epidemic Processes on Graph. International Conference on Bioinformatics and Computational Biology, pp. 62–75, Springer Nature Switzerland.
  2. H. Ji, M. Vasilyeva, A. Sadovski. Predicting Equilibrium in a Predator–Prey System with Disease. International Conference on Bioinformatics and Computational Biology, pp. 76–92, Springer Nature Switzerland.
  3. Y. Wang, M. Vasilyeva, A. Sadovski (2023). Prediction of the survival status for multispecies competition system. AIP Conference Proceedings, 2872(1).
  4. D. Palaniappan, M. Vasilyeva (2023). Numerical approach for incompressible fluid flows in and around a pair of porous elliptic cylinders. AIP Conference Proceedings, 2872(1).

2022–2026

Talks & presentations

Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow

41st Colorado Conference on Iterative and Multigrid Methods · Boulder, Colorado

Accelerated local-global coupling for non-isothermal multiphase reactive flow

27th Conference of the International Linear Algebra Society · Virginia Tech · Invited

Multiscale Graph Reduction for Discrete Diffusion

10th Coastal Bend Mathematics & Statistics Conference · Session organizer and speaker

Averaged Dynamics of Eco-Epidemic Processes on Graph

BICOB 2026 · Honolulu, Hawaii

Physics-guided Upscaling and Multiscale Solver for Highly Anisotropic Heat Flux

FEM Rodeo 2026 · University of Texas at Austin

Learning Ecological and Epidemic Processes

CBMS Conference: Research at the Interface of Applied Mathematics and Machine Learning · University of Houston

Explicit-Implicit Scheme and Two-Grid Preconditioner for Nonlinear Flow

SIAM Conference on Mathematical & Computational Issues in the Geosciences · Invited

Multiscale Graph Reduction for Heterogeneous and Anisotropic Discrete Diffusion

SIAM Texas–Louisiana Sectional Meeting · Session organizer and speaker

A semi-supervised learning of upscaled multicontinuum models

AWM Research Symposium · University of Wisconsin–Madison · Invited

An upscaled multicontinuum representation of discrete graph models

NSF CompMath Meeting · University of Utah

Multiscale two-grid preconditioner for heterogeneous and anisotropic diffusion

22nd Copper Mountain Conference on Multigrid Methods

Coarse grid approximation and two-grid preconditioner

9th Coastal Bend Mathematics and Statistics Conference · Laredo, Texas

Decoupling schemes for multiscale multicontinuum problems

SIAM CSE25 · Fort Worth, Texas · Invited

Coarse-graining of discrete graph models

ICERM: Fusing Theory and Practice of Graph Algorithms · Providence, Rhode Island

Multiscale methods for multicontinuum problems in fractured porous media

SIAM Texas–Louisiana Section Meeting · Session organizer and speaker

Learning macroscopic parameters in nonlinear nonlocal upscaling

SIAM Central States Section Meeting · Invited

Multiscale solver for heterogeneous and high-contrast structures

Scientific Computing Seminar · University of Houston · Invited

Decoupling schemes for multicontinuum problems in fractured porous media

AMS Fall Central Sectional Meeting · UT San Antonio

Multiscale model order reduction for applied problems

Mathematics Seminar Series · University of the West Indies · Invited

Multiscale model order reduction for network models

International Conference on Applied Mathematics · City University of Hong Kong · Invited

Multiscale model order reduction in heterogeneous media and structures

Workshop on Scale Bridging in Numerical Simulation · Los Alamos National Laboratory · Invited

Decoupling schemes for multiscale multicontinuum problems

Mathematical Sciences Colloquium · UTEP · Invited

Multiscale finite element method for spatial network models

31st Joint NMSU/UTEP Workshop

Numerical upscaling of network models using PETSc

Annual PETSc Meeting · Chicago, Illinois

Splitting schemes for multiscale multicontinuum problems

InterPore 2023 · Online

Coastal temporal-spatial systems of multi-species interactions

Gulf of Mexico Conference · Baton Rouge, Louisiana

Restoration time for coastal multi-species habitats after catastrophic events

Gulf of Mexico Conference · Baton Rouge, Louisiana

Thermo-hydro-mechanical model with phase change

Texas Women in Math Symposium · Rice University