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Dec 15, 2023 · In these studies the backward difference based procedures are compared to Runge–Kutta methods for a non-smooth problem. An ℓ2ℓ2 norm of the error is used as the ...
Jul 3, 2024 · The advantage of adaptive Runge-Kutta methods is that they can achieve the desired level of accuracy while minimizing computational cost by taking larger steps ...
May 8, 2024 · Schädle, Fast Runge--Kutta approximation of inhomogeneous parabolic equations, Numer. ... Theta-type convolution quadrature OSC method for nonlocal ...
Jun 5, 2024 · Applying the Runge–Kutta based convolution quadrature method combined with a Raviart–Thomas boundary element discretization yields stable and convergent ...
Dec 1, 2023 · Fast and Parallel Runge--Kutta Approximation of Fractional Evolution Equations · Marina Fischer. SIAM Journal on Scientific Computing, Vol. 41, No. 2 | 28 ...
Jan 13, 2024 · The idea of the method is strongly linked to the discrete-time PINN presented in Paragraph 2.2.2.1, where a reformulation of the Runge-Kutta method yields the ...
Jun 30, 2024 · ... Kutta or linear multi-step methods, and can ... Research in explicit Runge-Kutta methods is producing continual improvements to the original algorithms ...
Electrical and Computer Engineering Department Courses
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Sep 21, 2024 · Linear multistep methods and Runge-Kutta methods for ordinary differential equations: stability, order and convergence. Stiffness. Differential algebraic ...
Aug 30, 2024 · ... multistep Runge--Kutta methods with extended real stability interval . . . . . . . . . . . 183--209 J. R. Cash and A. Singhal Mono-implicit Runge--Kutta ...
Jun 14, 2024 · ... multistep methods or Runge-Kutta methods do not possess the correct stability properties for such doubling-splitting systems. This is due to the fact that.