Two classes of linearly implicit numerical methods for stiff problems: analysis and MATLAB software
DOI10.14658/PUPJ-DRNA-2022-2-6zbMATH Open1540.65178MaRDI QIDQ6556637
Giovanni Pagano, Dajana Conte, Beatrice Paternoster
Publication date: 17 June 2024
Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Software, source code, etc. for problems pertaining to numerical analysis (65-04) Numerical methods for stiff equations (65L04)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Construction of the ef-based Runge-Kutta methods revisited
- Explicit multi-step peer methods for special second-order differential equations
- An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
- Operations on oscillatory functions
- Error propagation for implicit-explicit general linear methods
- Optimally zero stable explicit peer methods with variable nodes
- Linearly implicit Runge-Kutta methods and approximate matrix factorization.
- Runge-Kutta method with equation dependent coefficients
- Two-step peer methods with equation-dependent coefficients
- Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems
- Exponentially fitted two-step peer methods for oscillatory problems
- AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model
- A comparison of one-step and two-step W-methods and peer methods with approximate matrix factorization
- Adapted explicit two-step peer methods
- Exponentially fitted IMEX methods for advection-diffusion problems
- W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs
- Explicit two-step peer methods
- Extrapolation-based implicit-explicit general linear methods
- Solving Ordinary Differential Equations I
- Some general implicit processes for the numerical solution of differential equations
- EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS
- Implicit Runge-Kutta Processes
- General linear methods
- Numerical Methods for Ordinary Differential Equations
- Exponentially fitted methods that preserve conservation laws
- Software for Approximation 2022 (SA2022)
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