Implementing Spectral Methods for Partial Differential Equations

• Fourth-order paired-explicit Runge-Kutta methods

  2025 Computational Science and Engineering article Mathematics Numerical methods for differential equations Open access

  2

  citations
• Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations

  2024 Journal of Scientific Computing article Mathematics Numerical methods for differential equations Open access

  7

  citations
• Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws

  2023 ACM Transactions on Mathematical Software article Engineering Computational Fluid Dynamics and Aerodynamics Open access

  19

  citations
• Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes

  2023 Journal of Computational Physics article Engineering Computational Fluid Dynamics and Aerodynamics Open access

  6

  citations
• On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics

  2023 Communications on Applied Mathematics and Computation article Engineering Computational Fluid Dynamics and Aerodynamics Open access

  14

  citations
• Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations

  2021 Numerische Mathematik article Engineering Computational Fluid Dynamics and Aerodynamics Open access

  10

  citations
• Length-Scales for Efficient Cfl Conditions in High-Order Methods with Distorted Meshes: Application to Local-Timestepping for P-Multigrid

  2021 SSRN Electronic Journal preprint Engineering Computational Fluid Dynamics and Aerodynamics Open access

  1

  citations
• An Investigation of Different Splitting Techniques for the Isentropic Euler Equations

  2020 Fluid mechanics and its applications book-chapter Engineering Computational Fluid Dynamics and Aerodynamics

  2

  citations

8 results