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This archived information is dated to the 2008-09 academic year only and may no longer be current.

For currently applicable policies and information, see the current Stanford Bulletin.

Doctor of Philosophy in Computational and Mathematical Engineering

Up one level:

Graduate Programs in Computational and Mathematical Engineering

Applications to the Ph.D. program and all required supporting documents must be received by December 16, 2008. See http://icme.stanford.edu /admissions for up-to-date information. Prospective graduate students should see http://gradadmissions.stanford.edu for information and application materials. Applicants should take the Graduate Record Examination by October of the year the application is submitted.

Admission to the Ph.D. program does not imply that the student is a candidate for the Ph.D. degree. Advancement to candidacy requires superior academic achievement and passing the qualifying examination.

Requirements—

  1. Complete a minimum of 135 units of residency at Stanford, including:
    1. 45 units from the master's program,
    2. 27 units of focused electives in an area planned with the student's Ph.D. adviser; 12 of these units should come from iCME specialized electives with significant computational content such as the CME 320-380 series; the focused and specialized elective component of the iCME program is meant to be broad and inclusive of relevant courses of comparable rigor to iCME courses. The elective course list following represents automatically accepted electives within the program but is not limited to the list below and the list is expanded on a continuing basis; courses outside the list can be accepted as electives subject to approval by the student's iCME adviser.
    3. 60 units of thesis research
    4. 3 units of free elective
  2. Maintain a grade point average (GPA) of 3.5
  3. Pass the qualifying examination administered by iCME
  4. Complete an approved program of original research
  5. Complete a written dissertation based on research
  6. Pass the oral examination that is a defense of the dissertation research.

Elective List—See requirement 1b above.

CEE 362G. Stochastic Inverse Modeling and Data Assimilation Methods

CS 221. AI: Principles and Techniques

CS 228. Probabilistic Models in AI

CS 229. Machine Learning

CS 268. Geometric Algorithms

CS 348A. Computer Graphics: Geometric Modeling

EE 256. Numerical Electromagnetics

EE 363. Linear Dynamical Systems

EE364A,B. Convex Optimization I,II

EE 368. Digital Image Processing

MATH 221. Mathematical Methods of Imaging

MATH 227. Partial Differential Equations and Diffusion Processes

MATH 236. Introduction to Stochastic Differential Equations

MATH 237. Stochastic Equations and Random Media

MATH 238. Mathematical Finance

ME 335A/B. Finite Element Analysis

ME 335C. Introduction to Boundary Element Analysis

ME 351A/B. Fluid Mechanics

ME 361. Turbulence

ME 408. Spectral Methods in Computational Physics

ME 412. Engineering Functional Analysis and Finite Elements

MS&E 238. Network Structures and Analysis

MS&E 319. Approximation Algorithms

MS&E 336. Topics in Game Theory with Engineering Applications

STATS 360B. Methods of Applied Statistics

FINANCIAL ASSISTANCE

The department awards a limited number of fellowships, course assistantships, and research assistantships to incoming graduate students. Applying for such assistance is part of submitting the application for admission to the program. Students are appointed for half-time assistantships which provides a tuition scholarship at the 8, 9, 10 unit rate during the academic year and a monthly stipend. Half-time appointments generally require 20 hours of work per week. Most course assistantships and research assistantships are awarded to students in the doctoral program in iCME. If the number of Ph.D. students is not sufficient to staff all course and research assistantship positions available, these positions may be open to master's students. However, master's students are not guaranteed financial assistance.

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