An Optimal Mass Transport Method for Random Genetic Drift
DOI10.1137/20M1389431zbMath1496.65109arXiv2012.15527OpenAlexW3116316308MaRDI QIDQ5080494
Qi Wang, Lin Chen, José Antonio Carrillo
Publication date: 31 May 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.15527
Newton-type methods (49M15) Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Protein sequences, DNA sequences (92D20) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44)
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Cites Work
- Long-time behavior of a fully discrete Lagrangian scheme for a family of fourth order equations
- A convergent Lagrangian discretization for a nonlinear fourth-order equation
- Nonlinear mobility continuity equations and generalized displacement convexity
- A Wasserstein approach to the numerical solution of the one-dimensional Cahn-Hilliard equation
- Fixation at a locus with multiple alleles: structure and solution of the Wright Fisher model
- From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective
- Lagrangian schemes for Wasserstein gradient flows
- Behavior of different numerical schemes for random genetic drift
- A hybrid mass transport finite element method for Keller-Segel type systems
- A non-standard evolution problem arising in population genetics
- Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms
- Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms
- Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations
- Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
- The Variational Formulation of the Fokker--Planck Equation
- 14. Convergence of a fully discrete variational scheme for a thin-film equation
- Numerical complete solution for random genetic drift by energetic variational approach
- Numerical Method for Multi-Alleles Genetic Drift Problem
- Lagrangian Numerical Approximations to One‐Dimensional Convolution‐Diffusion Equations
- Diffusion models in population genetics
- Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation
- Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations
- The Differential Equation of the Distribution of Gene Frequencies
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