Welcome to the Numerical Analysis and Scientific Computing Group

At the Department of Applied Mathematics, University of Waterloo.

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We do research on numerical analysis and scientific computing, with focus areas in hyperbolic conservation laws, numerical linear algebra, and large-scale applications in engineering and technology.

We hold research seminars, and have links to Waterloo's Centre for Computational Mathematics and School of Computer Science, and to SHARCNET/Compute Canada.

Read about Waterloo's innovation-focused campus culture in this New York Times article: "The University of Waterloo, ... , is one of the world’s best technology schools."

Faculty members:

  • Professor Hans De Sterck (numerical linear algebra, multigrid, finite volume methods for hyperbolic conservation laws, large-scale applications in information technology (tensors, graphs, networks) and in space physics) (on leave at Monash University)
  • Professor Lilia Krivodonova (discontinuous Galerkin methods, error estimation and adaptive methods, finite element methods, musical acoustics, hyperbolic conservation laws, GPU computing)
  • Professor Sander Rhebergen (discontinuous Galerkin finite element methods, space-time finite element methods for deforming domain problems, higher-order accurate finite element methods, preconditioners, fluid dynamics, aerodynamics, magma/mantle dynamics, two-phase flows)
  • Professor Giang Tran (sparse modeling and sparse optimization methods, data science, image processing and medical imaging, compressed sensing)


  • Tamas Horvath (Rhebergen)

PhD students:

  • Giselle Sosa Jones (Rhebergen)

  • Abdullah Ali Sivas (Rhebergen)

  • Janelle Resch (Krivodonova)

  • Andrew Giuliani (Krivodonova)

Master's students:

  • Keegan Kirk (Rhebergen)

  • Khalida Parveen (Krivodonova)

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