Xiaochuan Tian
Scholar

Xiaochuan Tian

Google Scholar ID: Buy_bG0AAAAJ
University of California, San Diego
Mathematics
Citations & Impact
All-time
Citations
1,444
 
H-index
21
 
i10-index
31
 
Publications
20
 
Co-authors
37
list available
Resume (English only)
Background
  • Associate Professor in the Department of Mathematics at UC San Diego
  • Research focuses on mathematical modeling, applied analysis, and numerical methods for partial differential and integro-differential equations
  • Particular interest in nonlocal modeling and meshfree approaches for solving PDEs/IDEs
  • Current research topics include: Calculus of variations, theory of nonlocal function spaces, asymptotic analysis, Γ-convergence; high-order numerical methods, meshfree methods, Petrov-Galerkin methods, multiscale and adaptive methods, asymptotically compatible schemes; nonlocal modeling in continuum mechanics
  • Research interests include numerical analysis, applied PDEs, nonlocal models, fractional PDEs, and multiscale modeling