Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs
Fuente:
arXiv
Saved in:
| Main Authors: | Reisch, Cordula, Ranocha, Hendrik |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Splitting Techniques for DAEs with port-Hamiltonian Applications
by: Bartel, Andreas, et al.
Published: (2024)
by: Bartel, Andreas, et al.
Published: (2024)
Stability of step size control based on a posteriori error estimates
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024)
by: Biswas, Abhijit, et al.
Published: (2024)
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Error estimation for numerical approximations of ODEs via composition techniques. Part II: BDF methods
by: Deeb, Ahmad, et al.
Published: (2026)
by: Deeb, Ahmad, et al.
Published: (2026)
Derive boundary conditions for holistic discretisations of Burgers' equation
by: Roberts, A. J.
Published: (2001)
by: Roberts, A. J.
Published: (2001)
Holistic projection of initial conditions onto a finite difference approximation
by: Roberts, A. J.
Published: (2001)
by: Roberts, A. J.
Published: (2001)
A holistic finite difference approach models linear dynamics consistently
by: Roberts, A. J.
Published: (2000)
by: Roberts, A. J.
Published: (2000)
Multi-Order Monte Carlo IMEX hierarchies for uncertainty quantification in multiscale hyperbolic systems
by: Bertaglia, Giulia, et al.
Published: (2025)
by: Bertaglia, Giulia, et al.
Published: (2025)
Second order explicit stabilized multirate method for stiff differential equations with error control
by: Benninghoff, Mathieu, et al.
Published: (2025)
by: Benninghoff, Mathieu, et al.
Published: (2025)
Using Machine Learning to Design Time Step Size Controllers for Stable Time Integrators
by: Izgin, Thomas, et al.
Published: (2023)
by: Izgin, Thomas, et al.
Published: (2023)
Long-term behaviour of symmetric partitioned linear multistep methods I. Global error and conservation of invariants
by: Cano, B., et al.
Published: (2024)
by: Cano, B., et al.
Published: (2024)
Efficient implementation of Radau collocation methods
by: Brugnano, L., et al.
Published: (2013)
by: Brugnano, L., et al.
Published: (2013)
Multirate methods for ordinary differential equations
by: Günther, Michael, et al.
Published: (2025)
by: Günther, Michael, et al.
Published: (2025)
Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)
A new way of deriving implicit Runge-Kutta methods based on repeated integrals
by: Mizerová, Hana, et al.
Published: (2024)
by: Mizerová, Hana, et al.
Published: (2024)
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Multi-Order Runge-Kutta Methods or how to numerically solve initial value problems of any order
by: Petronijevic, Loris
Published: (2025)
by: Petronijevic, Loris
Published: (2025)
Linear multistep methods with repeated global Richardson extrapolation
by: Fekete, Imre, et al.
Published: (2023)
by: Fekete, Imre, et al.
Published: (2023)
Explicit Runge-Kutta-Chebyshev methods of second order with monotonic stability polynomial
by: Faleichik, Boris, et al.
Published: (2025)
by: Faleichik, Boris, et al.
Published: (2025)
Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)
by: Stepanov, Misha
Published: (2023)
by: Stepanov, Misha
Published: (2023)
Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property
by: Stepanov, Misha
Published: (2021)
by: Stepanov, Misha
Published: (2021)
Computational and Analytical Study of Variations and Generalizations of the FC-Gram Approximation Algorithm
by: Nainwal, Prakash, et al.
Published: (2026)
by: Nainwal, Prakash, et al.
Published: (2026)
Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods
by: Thein, Ferdinand, et al.
Published: (2025)
by: Thein, Ferdinand, et al.
Published: (2025)
Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations
by: Öffner, Philipp, et al.
Published: (2024)
by: Öffner, Philipp, et al.
Published: (2024)
Stability theory of TASE-Runge-Kutta methods with inexact Jacobian
by: Conte, D., et al.
Published: (2024)
by: Conte, D., et al.
Published: (2024)
A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems
by: Buvoli, Tommaso, et al.
Published: (2024)
by: Buvoli, Tommaso, et al.
Published: (2024)
Implicit-Explicit Multirate Infinitesimal Stage-Restart Methods
by: Fish, Alex C., et al.
Published: (2023)
by: Fish, Alex C., et al.
Published: (2023)
Spectral Deferred Corrections in the framework of Runge-Kutta methods
by: Bronasco, Eugen, et al.
Published: (2026)
by: Bronasco, Eugen, et al.
Published: (2026)
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
by: Amodio, P., et al.
Published: (2022)
by: Amodio, P., et al.
Published: (2022)
A new interpolated pseudodifferential preconditioner for the Helmholtz equation in heterogeneous media
by: Acosta, Sebastian, et al.
Published: (2024)
by: Acosta, Sebastian, et al.
Published: (2024)
Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators
by: Huang, Qiumei, et al.
Published: (2025)
by: Huang, Qiumei, et al.
Published: (2025)
A Multi-Invariant Preserving Discrete Gradient Methods
by: Pu, Haodong, et al.
Published: (2026)
by: Pu, Haodong, et al.
Published: (2026)
Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
by: Gurioli, Gianmarco, et al.
Published: (2024)
by: Gurioli, Gianmarco, et al.
Published: (2024)
A note on the stability of two families of two-step schemes
by: Wang, Xiaoming, et al.
Published: (2024)
by: Wang, Xiaoming, et al.
Published: (2024)
Multirate Runge-Kutta for Nonlinearly Partitioned Systems
by: Buvoli, Tommaso, et al.
Published: (2025)
by: Buvoli, Tommaso, et al.
Published: (2025)
Splitting Schemes for ODEs with Goal-Oriented Error Estimation
by: Weyl, Erik, et al.
Published: (2026)
by: Weyl, Erik, et al.
Published: (2026)
On Trigonometric Interpolation and Its Applications
by: Zou, Xiaorong
Published: (2025)
by: Zou, Xiaorong
Published: (2025)
The Lax-Wendroff theorem for Patankar-type methods applied to hyperbolic conservation laws
by: Bender, Janina, et al.
Published: (2025)
by: Bender, Janina, et al.
Published: (2025)
A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
by: Liao, Hong-lin, et al.
Published: (2026)
by: Liao, Hong-lin, et al.
Published: (2026)
Similar Items
-
Splitting Techniques for DAEs with port-Hamiltonian Applications
by: Bartel, Andreas, et al.
Published: (2024) -
Stability of step size control based on a posteriori error estimates
by: Ranocha, Hendrik, et al.
Published: (2023) -
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024) -
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023) -
Error estimation for numerical approximations of ODEs via composition techniques. Part II: BDF methods
by: Deeb, Ahmad, et al.
Published: (2026)