World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
11841
World Ranking
696
National Ranking
349

Engineering and Technology

D-Index
57
Citations
11909
World Ranking
2653
National Ranking
811

Research.com Recognitions

  • 2014 - SIAM Fellow For contributions to the development of mimetic finite difference methods for nonlinear systems of partial differential equations.

Overview

Mikhail Shashkov is affiliated with Los Alamos National Laboratory in the United States. Their research primarily spans the fields of Engineering and Computer Science, with substantial contributions in Computational Mechanics. Their work intersects multiple subfields including Computer Graphics and Computer-Aided Design, Nuclear and High Energy Physics, Computer Networks and Communications, and Surfaces, Coatings and Films.

The focal topics of Shashkov's research include Fluid Dynamics and Heat Transfer, Computational Fluid Dynamics and Aerodynamics, Computer Graphics and Visualization Techniques, Advanced Numerical Methods in Computational Mathematics, Fluid Dynamics Simulations and Interactions, Laser-Plasma Interactions and Diagnostics, and Advanced Data Storage Technologies.

Shashkov has published extensively, with a strong presence in high-impact journals such as the Journal of Computational Physics, Computers & Fluids, and Communications on Applied Mathematics and Computation. Frequent appearances in the SSRN Electronic Journal also form part of their publication record.

Recent notable papers authored by Shashkov are:

  • Moments-based interface reconstruction, remap and advection, 2023, Journal of Computational Physics
  • An adaptive moments-based interface reconstruction using intersection of the cell with one half-plane, two half-planes and a circle, 2023, Journal of Computational Physics

Other key papers relevant to their research area, though with different lead authors, include:

  • A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation, 2020, Computers & Fluids
  • Locally adaptive artificial viscosity strategies for Lagrangian hydrodynamics, 2020, Computers & Fluids
  • Machine Learning Approaches for the Solution of the Riemann Problem in Fluid Dynamics: a Case Study, 2024, Communications on Applied Mathematics and Computation

Shashkov has collaborated frequently with several researchers, including Konstantin Lipnikov, Mack Kenamond, Dmitri Kuzmin, Jan Velechovský, and Evgeny Kikinzon, with whom multiple joint publications have been produced.

Recognition of Shashkov's work includes being named a SIAM Fellow in 2014 for contributions to the development of mimetic finite difference methods for nonlinear systems of partial differential equations.

Best Publications

  • The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy

    E.J. Caramana;D.E. Burton;M.J. Shashkov;P.P. Whalen

  • Mimetic finite difference method

    Konstantin Lipnikov;Gianmarco Manzini;Mikhail Shashkov

  • Conservative Finite-Difference Methods on General Grids

    Mikhail Shashkov

  • Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

    Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov

  • Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations

    E.J. Caramana;M.J. Shashkov;P.P. Whalen

  • Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

    K. Lipnikov;M. Shashkov;D. Svyatskiy;Yu. Vassilevski

  • Natural discretizations for the divergence, gradient, and curl on logically rectangular grids☆

    J.M. Hyman;M. Shashkov

  • The Numerical Solution of Diffusion Problems in Strongly Heterogeneous Non-isotropic Materials

    James Hyman;Mikhail Shashkov;Stanly Steinberg

  • Solving Diffusion Equations with Rough Coefficients in Rough Grids

    Mikhail Shashkov;Stanly Steinberg

  • Multi-material interface reconstruction on generalized polyhedral meshes

    Hyung Taek Ahn;Mikhail Shashkov

  • Second-order sign-preserving conservative interpolation (remapping) on general grids

    L. G. Margolin;Mikhail Shashkov

  • Reconstruction of multi-material interfaces from moment data

    Vadim Dyadechko;Mikhail Shashkov

  • Elimination of Artificial Grid Distortion and Hourglass-Type Motions by Means of Lagrangian Subzonal Masses and Pressures

    E.J. Caramana;M.J. Shashkov

  • A tensor artificial viscosity using a mimetic finite difference algorithm

    J. C. Campbell;M. J. Shashkov

  • Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods

    Patrick Knupp;Len G. Margolin;Mikhail Shashkov

  • A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods

    Raphaël Loubère;Mikhail J. Shashkov

  • Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows

    Andrew J. Barlow;Pierre-Henri Maire;William J. Rider;Robert N. Rieben

  • Mimetic Finite Difference Methods for Diffusion Equations

    J. Hyman;M. Shashkov;S. Steinberg

  • A new discretization methodology for diffusion problems on generalized polyhedral meshes

    Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov;Valeria Simoncini

  • Adjoint operators for the natural discretizations of the divergence gradient and curl on logically rectangular grids

    James M. Hyman;Mikhail Shashkov

  • Mimetic Discretizations for Maxwell's Equations

    James M. Hyman;Mikhail Shashkov

Frequent Co-Authors

Konstantin Lipnikov
Konstantin Lipnikov Los Alamos National Laboratory
James M. Hyman
James M. Hyman Tulane University
Guglielmo Scovazzi
Guglielmo Scovazzi Duke University
Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
Gianmarco Manzini
Gianmarco Manzini Los Alamos National Laboratory
Ivan Yotov
Ivan Yotov University of Pittsburgh
Yuri Bazilevs
Yuri Bazilevs Brown University
David J. Benson
David J. Benson University of California, San Diego
Franco Brezzi
Franco Brezzi National Research Council (CNR)
Hong Luo
Hong Luo North Carolina State University

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