The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet it only achieves first-order spatial accuracy near embedded boundaries. In this paper, we introduce a new high-order numerical method
Guy, Robert D. +2 more
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Stability of Travelling Waves for Reaction-Diffusion Equations with Multiplicative Noise
We consider reaction-diffusion equations that are stochastically forced by a small multiplicative noise term. We show that spectrally stable travelling wave solutions to the deterministic system retain their orbital stability if the amplitude of the ...
Hamster, C. H. S., Hupkes, H. J.
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Periodic solutions for some fully nonlinear fourth order differential equations [PDF]
In this paper we present sufficient conditions for the existence of periodic solutions to some nonlinear fourth order boundary value problems u(4)(x) = f(x; u(x); u′(x); u′′(x); u′′′(x)) u(i)(a) = u(i)(b); i = 0; 1; 2; 3; To the best of our knowledge ...
Minhós, Feliz
core
Higher order functional boundary value problems: existence and location results [PDF]
This paper considers a nth-order phi-laplacian differential equation with functional boundary conditions satisfying certain monotonicity assumptions.
Graef, John +2 more
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Intrinsic noise induced resonance in presence of sub-threshold signal in Brusselator
In a system of non-linear chemical reactions called the Brusselator, we show that {\it intrinsic noise} can be regulated to drive it to exhibit resonance in the presence of a sub-threshold signal.
Bartholomay A. F. +4 more
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Travelling waves in nonlinear diffusion-convection-reaction [PDF]
The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes.
Gilding, B.H., Kersner, R.
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Convergence and qualitative properties of modified explicit schemes for BSDEs with polynomial growth [PDF]
The theory of Forward-Backward Stochastic Differential Equations (FBSDEs) paves a way to probabilistic numerical methods for nonlinear parabolic PDEs.
Lionnet, Arnaud +2 more
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Optimising DTwP-containing vaccine infant immunisation schedules (OptImms) - a protocol for two parallel, open-label, randomised controlled trials. [PDF]
Kelly S +35 more
europepmc +1 more source
In vitro modeling of the human dopaminergic system using spatially arranged ventral midbrain-striatum-cortex assembloids. [PDF]
Reumann D +17 more
europepmc +1 more source
Autonomous learning of nonlocal stochastic neuron dynamics. [PDF]
Maltba TE, Zhao H, Tartakovsky DM.
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