Sigal Gottlieb, PhD

Chancellor Professor

Mathematics

Curriculum Vitae

508-999-8205

508-910-6917

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Liberal Arts 394D

Education

1993Brown UniversitySc.B.
1995Brown UniversitySc.M.
1998Brown UniversityPhD

Teaching

  • Numerical Analysis
  • Scientific Computing
  • Differential Equations

Teaching

Programs

Teaching

Courses

Introduction to the diverse ethical concerns, challenges and responsibilities that arise when engaging in scientific research. Students will have opportunities to reflect upon and discuss their own ethical constructs in the face of practical ethical dilemmas.

A seminar series on interdisciplinary research topics by prominent speakers in EAS fields and student presentations on research in progress. May be repeated for credit.

Theory and computer-oriented practice in obtaining numerical solutions of various problems. Topics include stability and conditioning, nonlinear equations, systems of linear equations, interpolation and approximation theory.

Numerical methods for solving parabolic, hyperbolic, and elliptic partial differential equations. The course will emphasize the concepts of consistency, convergence and stability. Topics include: implicit and explicit methods, truncation error, Von Newmann stability analysis, and the Lax equivalence theorem.

Development, analysis, and implementation of numerical methods to approximate solutions of partial differential equations. An advanced study of numerical methods for approximating the solution of partial differential equations. Topics may include: numerical methods for hyperbolic PDEs; finite element methods; discontinuous Galerkin methods; spectral methods; pseudo spectral (collocation) methods; radial basis function methods; numerical methods for time-stepping of PDEs

Numerical methods for solving parabolic, hyperbolic, and elliptic partial differential equations. The course will emphasize the concepts of consistency, convergence and stability. Topics include: implicit and explicit methods, truncation error, Von Newmann stability analysis, and the Lax equivalence theorem.

Development, analysis, and implementation of numerical methods to approximate solutions of partial differential equations. An advanced study of numerical methods for approximating the solution of partial differential equations. Topics may include: numerical methods for hyperbolic PDEs; finite element methods; discontinuous Galerkin methods; spectral methods; pseudo spectral (collocation) methods; radial basis function methods; numerical methods for time-stepping of PDEs

Research

Research Awards

  • $650,000 Implementation of a Contextualized Computing Pedagogy in STEM Core Courses and Its Impact on Undergraduate Student Academic Success, Retention, and Graduation

Research

Research Interests

  • Numerical Analysis
  • Scientific Computing
  • Strong stability preserving methods
  • Weighted essentially non-oscillatory methods

External links

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