Doctor of Philosophy
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Applications to the Ph.D. program and all required supporting documents must be received by the deadline. 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:
- Complete a minimum of 135 units of
residency at Stanford, including:
- a) 45 units from the master's program; all six core courses have to be completed.
- b) 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. However, electives are 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.
- c) 60 units of thesis research.
- d) 3 units of free electives.
- Maintain a grade point average (GPA) of 3.5.
- Pass the qualifying examination administered by iCME.
- Complete an approved program of original research.
- Complete a written dissertation based on research.
- Pass the oral examination that is a defense of the dissertation research.
- Elective List—See requirement 1b above.
Units |
||
CEE 362G |
Stochastic Inverse Modeling and Data Assimilation Methods |
3-4 |
CME 364A/364B |
Convex Optimization I |
3 |
CS 348A |
Computer Graphics: Geometric Modeling |
3-4 |
EE 368 |
Digital Image Processing |
3 |
MATH 205A |
Real Analysis |
3 |
MATH 215A |
Complex Analysis, Geometry, and Topology |
3 |
MATH 217A |
Differential Geometry |
3 |
MATH 221A |
Mathematical Methods of Imaging |
3 |
MATH 221B |
Mathematical Methods of Imaging |
3 |
MATH 227 |
Partial Differential Equations and Diffusion Processes |
3 |
MATH 236 |
Introduction to Stochastic Differential Equations |
3 |
MATH 238 |
Mathematical Finance |
3 |
ME 335A/335B/335C |
Finite Element Analysis |
3 |
ME 346B |
Introduction to Molecular Simulations |
3 |
ME 351A/351B |
Fluid Mechanics |
3 |
ME 361 |
Turbulence |
3 |
ME 408 |
Spectral Methods in Computational Physics |
3 |
ME 412 |
Engineering Functional Analysis and Finite Elements |
3 |
ME 469 |
Computational Methods in Fluid Mechanics |
3 |
MS&E 319 |
Approximation Algorithms |
3 |
MS&E 336 |
Topics in Game Theory with Engineering Applications |
3 |
STATS 305 |
Introduction to Statistical Modeling |
2-4 |
STATS 306A/306B |
Methods for Applied Statistics |
2-4 |
STATS 318 |
Modern Markov Chains |
3 |
STATS 366 |
Modern Statistics for Modern Biology |
3 |
Note: All courses listed under "Requirement 3" under the "Master of Science in Computational and Mathematical Engineering" section can be used for fulfilling the general elective requirement.
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 provide 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.
Ph.D. Minor in Computational and Mathematical Engineering
For a minor in Computational and Mathematical Engineering (CME), a doctoral candidate must complete 20 units of approved graduate level courses. These should include three ICME core courses and three ICME graduate electives at the 300 level or above. All courses must be taken for a letter grade and passed with a grade of ‘B’ or better. Minor programs should be developed in close discussion between the student and the student's primary Ph.D. adviser.
