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Mathematics

D-Index
51
Citations
10025
World Ranking
1029
National Ranking
478

Overview

Steven M. Wise is affiliated with the University of Tennessee at Knoxville in the United States. Their research spans multiple fields including Engineering, Materials Science, and Mathematics. Within these broader areas, their work focuses on subfields such as Materials Chemistry, Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis, and Applied Mathematics.

The scientist's research topics cover a wide range of subjects, including:

  • Solidification and crystal growth phenomena
  • Fluid Dynamics and Thin Films
  • Advanced Numerical Methods in Computational Mathematics
  • Differential Equations and Numerical Methods
  • Advanced Mathematical Modeling in Engineering
  • Block Copolymer Self-Assembly
  • Gas Dynamics and Kinetic Theory

Steven M. Wise has contributed to journal articles in several publication venues. The most frequent venues they have published in include:

  • arXiv (Cornell University)
  • Journal of Computational and Applied Mathematics
  • Journal of Scientific Computing
  • Mathematics of Computation
  • Communications in Computational Physics

Some notable recent papers authored or co-authored by Steven M. Wise include:

  • A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system (2021), Mathematics of Computation
  • A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters (2021), Journal of Computational Physics
  • Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System (2020), Journal of Scientific Computing
  • An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels (2021), Journal of Scientific Computing
  • Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation (2020), Journal of Computational Physics

The scientist has collaborated frequently with a number of co-authors, including:

  • Cheng Wang
  • Abner J. Salgado
  • Zhengru Zhang
  • Axel Voigt
  • Marco Salvalaglio

Steven M. Wise has also contributed to the publication of a book titled Classical Numerical Analysis, published by Cambridge University Press in 2022.

Best Publications

  • Nonlinear modelling of cancer: Bridging the gap between cells and tumours

    J. S. Lowengrub;H. B. Frieboes;H. B. Frieboes;F. Jin;F. Jin;Y. L. Chuang

  • Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method.

    S. M. Wise;J. S. Lowengrub;H. B. Frieboes;H. B. Frieboes;Vittorio Cristini

  • An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

    S. M. Wise;C. Wang;J. S. Lowengrub

  • Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy

    Jie Shen;Cheng Wang;Xiaoming Wang;Steven M. Wise

  • Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

    Z. Hu;S. M. Wise;C. Wang;J. S. Lowengrub

  • Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

    Vittorio Cristini;Xiangrong Li;John S. Lowengrub;Steven M. Wise

  • An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

    C. Wang;S. M. Wise

  • Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method.

    X. Zheng;S. M. Wise;Vittorio Cristini

  • Computer simulation of glioma growth and morphology.

    Hermann B. Frieboes;Hermann B. Frieboes;John S. Lowengrub;S. Wise;X. Zheng

  • Three-Dimensional Multispecies Nonlinear Tumor Growth–II: Tumor Invasion and Angiogenesis

    Hermann B. Frieboes;Fang Jin;Fang Jin;Yao-Li Chuang;Steven M. Wise

  • Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method

    Steven M. Wise;Junseok Kim;John S. Lowengrub

  • A new phase-field model for strongly anisotropic systems

    Solmaz Torabi;John Lowengrub;Axel Voigt;Steven Wise

  • Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations

    S. M. Wise

  • Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

    Arvind Baskaran;John S. Lowengrub;C. Wang;Steven M. Wise

  • Unconditionally stable schemes for equations of thin film epitaxy

    Cheng Wang;Xiaoming Wang;Steven M. Wise

  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan;Wenbin Chen;Cheng Wang;Steven M. Wise

  • Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

    Amanda E. Diegel;Cheng Wang;Xiaoming Wang;Steven M. Wise

  • An $H^2$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn–Hilliard equation

    Jing Guo;Cheng Wang;Steven M. Wise;Xingye Yue

  • Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations

    Zhen Guan;John S. Lowengrub;Cheng Wang;Steven M. Wise

  • Multiparameter Computational Modeling of Tumor Invasion

    Elaine L. Bearer;John S. Lowengrub;Hermann B. Frieboes;Yao Li Chuang

  • Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential

    Wenbin Chen;Cheng Wang;Xiaoming Wang;Xiaoming Wang;Xiaoming Wang;Steven M. Wise

  • INVITED ARTICLE: Nonlinear modelling of cancer: bridging the gap between cells and tumours

    John S. Lowengrub;H. B. Frieboes;Fengfei Jin;Y.-L. Chuang

Frequent Co-Authors

Cheng Wang
Cheng Wang University of Massachusetts Dartmouth
John Lowengrub
John Lowengrub University of California, Irvine
Axel Voigt
Axel Voigt TU Dresden
Junseok Kim
Junseok Kim Korea University
Jie Shen
Jie Shen Eastern Institute of Technology, Ningbo
Katsuyo Thornton
Katsuyo Thornton University of Michigan–Ann Arbor
Peter W. Voorhees
Peter W. Voorhees Northwestern University
Vivek B. Shenoy
Vivek B. Shenoy University of Pennsylvania
Mauro Ferrari
Mauro Ferrari Houston Methodist
Bobby G. Sumpter
Bobby G. Sumpter Oak Ridge National Laboratory

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