Ming-Chih Lai

According to our database1, Ming-Chih Lai authored at least 45 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants.
J. Comput. Phys., February, 2024

2023
A cusp-capturing PINN for elliptic interface problems.
J. Comput. Phys., October, 2023

The Hard-Constraint PINNs for Interface Optimal Control Problems.
CoRR, 2023

A discontinuity and cusp capturing PINN for Stokes interface problems with discontinuous viscosity and singular forces.
CoRR, 2023

A convergent hybrid neural network and finite difference scheme for Stokes interface problems.
CoRR, 2023

2022
An immersed boundary projection method for solving the fluid-rigid body interaction problems.
J. Comput. Phys., 2022

A stable and accurate immersed boundary method for simulating vesicle dynamics via spherical harmonics.
J. Comput. Phys., 2022

A shallow Ritz method for elliptic problems with singular sources.
J. Comput. Phys., 2022

A discontinuity capturing shallow neural network for elliptic interface problems.
J. Comput. Phys., 2022

A hybrid neural-network and finite-difference method for solving Poisson equation with jump discontinuities on interfaces.
CoRR, 2022

A shallow physics-informed neural network for solving partial differential equations on surfaces.
CoRR, 2022

An energy stable finite difference method for anisotropic surface diffusion on closed curves.
Appl. Math. Lett., 2022

2021
An immersed boundary projection method for incompressible interface simulations in 3D flows.
J. Comput. Phys., 2021

2020
Spectrally Accurate Algorithm for Points Redistribution on Closed Curves.
SIAM J. Sci. Comput., 2020

An immersed boundary projection method for simulating the inextensible vesicle dynamics.
J. Comput. Phys., 2020

2019
Unconditionally Energy Stable Schemes for the Inextensible Interface Problem with Bending.
SIAM J. Sci. Comput., 2019

An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid.
J. Comput. Phys., 2019

A coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations.
J. Comput. Phys., 2019

A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant.
J. Comput. Phys., 2019

2018
Convergence of the MAC Scheme for the Stokes/Darcy Coupling Problem.
J. Sci. Comput., 2018

A level-set method for two-phase flows with soluble surfactant.
J. Comput. Phys., 2018

2017
A short note on Navier-Stokes flows with an incompressible interface and its approximations.
Appl. Math. Lett., 2017

2016
An immersed boundary method for simulating vesicle dynamics in three dimensions.
J. Comput. Phys., 2016

Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method.
J. Comput. Phys., 2016

2015
An Unconditionally Energy Stable Penalty Immersed Boundary Method for Simulating the Dynamics of an Inextensible Interface Interacting with a Solid Particle.
J. Sci. Comput., 2015

A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations.
J. Comput. Phys., 2015

2014
Numerical simulations of three-dimensional foam by the immersed boundary method.
J. Comput. Phys., 2014

An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows.
J. Comput. Phys., 2014

A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant.
J. Comput. Phys., 2014

2012
A Fractional Step Immersed Boundary Method for Stokes Flow with an Inextensible Interface Enclosing a Solid Particle.
SIAM J. Sci. Comput., 2012

New Numerical Results for the Surface Quasi-Geostrophic Equation.
J. Sci. Comput., 2012

2011
A note on pressure accuracy in immersed boundary method for Stokes flow.
J. Comput. Phys., 2011

2010
Numerical simulations of two-dimensional foam by the immersed boundary method.
J. Comput. Phys., 2010

Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method.
J. Comput. Phys., 2010

2009
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains.
J. Comput. Phys., 2009

2008
An immersed boundary method for interfacial flows with insoluble surfactant.
J. Comput. Phys., 2008

2006
An integral equation method for epitaxial step-flow growth simulations.
J. Comput. Phys., 2006

2005
Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows.
Appl. Math. Comput., 2005

2003
New Formulations for Interface Problems in Polar Coordinates.
SIAM J. Sci. Comput., 2003

2001
A Method for Computing Nearly Singular Integrals.
SIAM J. Numer. Anal., 2001

A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane.
Appl. Math. Lett., 2001

2000
A novel approach for functional coverage measurement in HDL.
Proceedings of the IEEE International Symposium on Circuits and Systems, 2000

CFMS - A Collaborative File Management System on WWW.
Proceedings of the High-Performance Computing and Networking, 8th International Conference, 2000

1996
Toward a New Educational Environment.
World Wide Web J., 1996

Synchronous Navigation Control for Distance Learning on the Web.
Comput. Networks, 1996


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