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College of Science and Mathematics

Mario Bencomo

Assistant Professor

Math | Office: Peters Business Building, Room 343

bencomo@csufresno.edu

Education

Ph.D. and M.A. in Computational and Applied Mathematics, Rice University
B.S. in Physics and Applied Mathematics, University of Texas at El Paso

Courses Taught

MATH 77: Calculus III
MATH 81: Elementary Differential Equations with Linear Algebra
MATH 121: Numerical Analysis I
MATH 122: Numerical Analysis II
MATH 152: Linear Algebra
MATH 181: Differential Equations
MATH 182: Partial Differential Equations
MATH 232: Mathematical Models with Technology

Dr. Mario Bencomo is an Assistant Professor of Mathematics at California State University, Fresno. His research focuses on numerical methods for partial differential equations, inverse problems, and scientific computing, with applications in wave propagation, heat conduction, and seismic imaging. He earned his Ph.D. in Computational and Applied Mathematics from Rice University and previously held postdoctoral positions at Rice and Brown University’s ICERM.

Dr. Bencomo is an active mentor and educator, recognized for his excellence in teaching and student research supervision. He has published in leading computational journals and contributes to open-source scientific software. Dr. Bencomo is particularly passionate about incorporating technology, programming, and applications into math courses through innovative teaching pedagogy.
  • Numerical methods for partial differential equations:
    • Finite difference methods for wave propagation problem with applications in seismology and acoustics.
    • Finite element methods for heat propagation with applications in cooking.
    • Relaxation Runge-Kutta methods for nonlinear problems.
  • Inverse problems and optimal control with applications in science and engineering.
    • Estimation of anisotropic point-sources is seismology.
    • Preconditioners for accelerating conjugate gradient iterations of multi-channel deconvolution problems.
    • Reduced order modeling methods for accelerating heat propagation simulations with applications in industrial cooking.
    • Efficient regularization techniques for large-scale ill-conditioned problems.
Previous publications
  • Bencomo, Chan. "Discrete adjoint computations for relaxation Runge-Kutta methods." Journal of Scientific Computing. 2023.
  • Chan, Bencomo, Del Rey Fernandez. "Mortar-based entropy stable discontinuous Galerkin methods for non-conforming quadrilateral and hexahedral meshes." Journal of Scientific Computing. 2021.
  • Bencomo, Symes. "Preconditioners for estimation of multipole sources via full waveform inversion." Journal of Computational Physics. 2020.
  • Bencomo, Symes. "Discretization of multipole sources in a finite difference setting for wave propagation problems." Journal of Computational Physics. 2019.

Previous independent studies and student projects
  • Independent studies:
    • The elasticity equations and finite difference methods.
    • Numerical linear algebra and topics from partial differential equations.
    • Application of Duhamel's principle for time-varying boundary value problems.
    • Reduced order modeling techniques for accelerating numerical simulations.
    • Analysis and implementation of finide difference methods.
  • Projects:
    • Recovering seismic sources via inversion and iterative techniques.
    • Deriving the finite element method and numerical examples.
    • Spectral method approach to solving the heat equation in cylindrical coordinates.