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math.NA2026
Asymptotic-Preserving Exponential Integrators applied to the Hyperbolic Korteweg-de Vries System
Abhijit Biswas, Sebastiano Boscarino, David I. Ketcheson +1
We study the application of exponential time integration methods, coupled with Fourier pseudospectral space discretization, to the hyperbolic Korteweg-de Vries (KdVH) system. We in…
math.NA2026
Adaptive Diagonally Implicit Runge-Kutta Methods Devoid of Order Reduction for Semilinear ODEs
Steven B. Roberts, Abhijit Biswas, David Shirokoff +1
Diagonally implicit Runge-Kutta (DIRK) methods are a prominent class of numerical methods for solving stiff systems of ordinary differential equations (ODEs). Stiffness does not on…