World's Best Scientists 2026 revealed!

D-Index & Metrics

Computer Science

D-Index
33
Citations
5026
World Ranking
12626
National Ranking
5113

Research.com Recognitions

  • 2016 - SIAM Fellow For advances in scalable implicit methods for linear and nonlinear partial differential equations and wide application in science and engineering.

Overview

Xiao-Chuan Cai is affiliated with the University of Colorado Boulder in the United States. Their research primarily spans the fields of engineering, medicine, and computer science, with substantial contributions to computational mechanics and related subfields.

The scientist's work focuses on areas such as advanced numerical methods in computational mathematics, matrix theory and algorithms, numerical methods in engineering, and computational fluid dynamics and aerodynamics. Additional topics include cardiovascular health and disease prevention, lattice Boltzmann simulation studies, and elasticity and material modeling.

Frequent publication venues for Xiao-Chuan Cai include:

  • Journal of Computational Physics
  • International Journal for Numerical Methods in Biomedical Engineering
  • SIAM Journal on Scientific Computing
  • SSRN Electronic Journal
  • Journal of research in applied mathematics.

They have collaborated repeatedly with coauthors such as Rongliang Chen, Bokai Wu, Zhengzheng Yan, Yingzhi Liu, and Shanlin Qin.

Recent papers authored by Xiao-Chuan Cai showcase a focus on numerical simulation and parallel computing techniques applied to medical and engineering problems. These include:

  • Fusing 2D and 3D convolutional neural networks for the segmentation of aorta and coronary arteries from CT images, 2021, Artificial Intelligence in Medicine
  • Efficient parallel simulation of hemodynamics in patient-specific abdominal aorta with aneurysm, 2021, Computers in Biology and Medicine
  • Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids, 2020, Journal of Computational Physics
  • A parallel non-nested two-level domain decomposition method for simulating blood flows in cerebral artery of stroke patient, 2020, International Journal for Numerical Methods in Biomedical Engineering
  • Numerical Simulation of Blood Flows in Patient-specific Abdominal Aorta with Primary Organs, 2021, Biomechanics and Modeling in Mechanobiology

Xiao-Chuan Cai's contributions have been recognized by the Society for Industrial and Applied Mathematics (SIAM), which named them a SIAM Fellow in 2016. The citation for this distinction highlights advances in scalable implicit methods for linear and nonlinear partial differential equations and their wide application in science and engineering.

Best Publications

  • A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems

    Xiao-Chuan Cai;Marcus Sarkis

  • Nonlinearly Preconditioned Inexact Newton Algorithms

    Xiao-Chuan Cai;David E. Keyes

  • Additive Schwarz algorithms for parabolic convection-diffusion equations

    Xiao-Chuan Cai

  • Domain Decomposition Algorithms for Indefinite Elliptic Problems

    Xiao-Chuan Cai;Olof B. Widlund

  • Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation

    Xiao-Chuan Cai;William D. Gropp;David E. Keyes;Robin G. Melvin

  • Multiplicative Schwarz methods for parabolic problems

    Xiao-Chuan Cai

  • Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling

    Andrew T. Barker;Xiao-Chuan Cai

  • Newton-Krylov-Schwarz Methods in CFD

    X.-C. Cai;W. D. Gropp;D. E. Keyes;M. D. Tidriri

  • A fully implicit parallel algorithm for simulating the non‐linear electrical activity of the heart

    Maria Murillo;Xiao-Chuan Cai

  • A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation

    Yuqi Wu;Xiao-Chuan Cai

  • A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations

    Feng-Nan Hwang;Xiao-Chuan Cai

  • Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems

    Xiao-Chuan Cai;Olof B. Widlund

  • A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems

    Xiao‐Chuan ‐C Cai;William D Gropp;David E. Keyes;David E. Keyes

  • Non-linear additive Schwarz preconditioners and application in computational fluid dynamics

    Xiao-Chuan Cai;David E. Keyes;Leszek Marcinkowski

  • Overlapping domain decomposition algorithms for general sparse matrices

    Xiao Chuan Cai;Yousef Saad

  • Overlapping Nonmatching Grid Mortar Element Methods for Elliptic Problems

    Xiao-Chuan Cai;Maksymilian Dryja;Marcus Sarkis

  • Parallel Full Space SQP Lagrange--Newton--Krylov--Schwarz Algorithms for PDE-Constrained Optimization Problems

    Ernesto E. Prudencio;Richard Byrd;Xiao-Chuan Cai

  • Overlapping Schwarz Algorithms for Solving Helmholtz''s Equation

    X. Cai;M. A. Casarin;F. W. Elliot;O. B. Widlund

  • Some Domain Decomposition Algorithms for Nonselfadjoint Elliptic and Parabolic Partial Differential Equations

    Olof B. Widlund;Xiao-Chuan Cai

  • A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms ☆

    Feng Nan Hwang;Xiao Chuan Cai

Frequent Co-Authors

David E. Keyes
David E. Keyes King Abdullah University of Science and Technology
William Gropp
William Gropp University of Illinois at Urbana-Champaign
Jia Liu
Jia Liu Tsinghua University
Richard H. Byrd
Richard H. Byrd University of Colorado Boulder
Raymond S. Tuminaro
Raymond S. Tuminaro Sandia National Laboratories
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Yousef Saad
Yousef Saad University of Minnesota
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Howard C. Elman
Howard C. Elman University of Maryland, College Park
Sven Leyffer
Sven Leyffer Argonne National Laboratory

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