几篇论文实现代码:《Pseudo Numerical Methods for Diffusion Models on Manifolds》(ICLR 2022) GitHub: github.com/luping-liu/PNDM 《DiffSinger: Singing Voice Synthesis via Shallow Diffusion Mechanism...
Under such a perspective, we propose pseudo numerical methods for diffusion models (PNDMs). Specifically, we figure out how to solve differential equations on manifolds and show that DDIMs are simple cases of pseudo numerical methods. We change several classical numerical methods to corresponding ...
Advection-diffusion-reactionTurbulenceWe present an overview of the Pseudo-Direct Numerical Simulation (P-DNS in short) method for the solution of multi-scale phenomena. The method can be seen as an adaptation of the variational multi-scale (VMS) method, where the fine solution is solved ...
Solving degenerate reaction-diffusion equations via variable step Peaceman-Rachford splitting The monotonicity and localized linear stability of the variable step scheme are investigated. We give some numerical examples to illustrate our results as ... H Cheng,L Ping,Q Sheng,... - 《Siam Journal On...
Numerical experiments with a stochastic zonal climate model In the base model, stochastic transport fluctuations are introduced by multiplying the eddy diffusion coefficients by Gaussian random deviates. For eddy coefficient variability of 50%, the base model generates an interannual temperature ......
Alikhanov, A.A., A New Difference Scheme for the Time Fractional Diffusion Equation, J. Comput. Phys., 2015, vol. 280, pp. 424–438. Taukenova, F.I. and Shkhanukov-Lafishev, M.H., Difference Methods for Solving Boundary Value Problems for Differential Equations of Fractional Order, ...
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Attractors for the nonclassical diffusion equations with fading memory The long-time dynamical behavior of the non-autonomous nonclassical diffusion equation with fading memory, when nonlinearity is critical, is discussed for ... W Xuan,C Zhong - 《Nonlinear Analysis Theory Methods & Applications》 被...
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Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology 2022, Chaos, Solitons and Fractals Show abstract Complex Turing patterns in chaotic dynamics of autocatalytic reactions with the Caputo fractional derivative 2023, Neural Computing and Applicatio...