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09/04/2023
On the non-global linear stability and spurious fixed points of MPRK schemes with negative RK parameters
Recently, a stability theory has been developed to study the linear stab...
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05/23/2023
Order conditions for Runge–Kutta-like methods with solution-dependent coefficients
In recent years, many positivity-preserving schemes for initial value pr...
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01/25/2023
Lyapunov Stability of First and Second Order GeCo and gBBKS Schemes
In this paper we investigate the stability properties of fixed points of...
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10/21/2022
A Stability Analysis of Modified Patankar-Runge-Kutta methods for a nonlinear Production-Destruction System
Modified Patankar-Runge-Kutta (MPRK) methods preserve the positivity as ...
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05/03/2022
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes
In this paper, we perform stability analysis for a class of second and t...
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04/11/2022
Meshfree Collocation for Elliptic Problems with Discontinuous Coefficients
We present a meshfree generalized finite difference method (GFDM) for so...
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02/23/2022
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes
Higher-order time integration methods that unconditionally preserve the ...
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02/02/2022