David Shirokoff
David Shirokoff
Associate Professor, Mathematical Sciences
512 Cullimore Hall (CULM)
Education
Ph.D.; Massachusetts Institute of Technology; Mathematics; 2011
BASc, Bachelor of Applied Science (Engineering); University of Toronto; Engineering Physics; 2006
BASc, Bachelor of Applied Science (Engineering); University of Toronto; Engineering Physics; 2006
2025 Spring Courses
MATH 481 - ADVANCED CALCULUS
MATH 701B - MASTER'S THESIS
MATH 546 - ADVANCED CALCULUS II
MATH 491 - INDEPENDENT STDY IN MATH
MATH 790A - DOCT DISSERTATION & RES
MATH 792B - PRE DOCTORAL RESEARCH
MATH 701B - MASTER'S THESIS
MATH 546 - ADVANCED CALCULUS II
MATH 491 - INDEPENDENT STDY IN MATH
MATH 790A - DOCT DISSERTATION & RES
MATH 792B - PRE DOCTORAL RESEARCH
Past Courses
MATH 111: CALCULUS I
MATH 112: CALCULUS II
MATH 213: CALCULUS III B
MATH 331: INTRO PARTIAL DIFF EQ
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 440: ADV APPL NUMERICAL METH
MATH 440: ADVANCED APPLIED NUMERICAL METHODS
MATH 473: INTERMED DIFFEREN EQUATN
MATH 473: INTERMEDIATE DIFFERENTIAL EQUATIONS
MATH 480: INTRODUCTORY MATHEMATICAL ANALYSIS
MATH 481: ADVANCED CALCULUS
MATH 545: INTRODUCTORY MATHEMATICAL ANALYSIS
MATH 546: ADVANCED CALCULUS
MATH 573: INTERMED DIFF EQUATIONS
MATH 613: ADV APPLIED MATH-MODELNG
MATH 707: ADVANCED APPLIED MATHEMATICS IV: SPECIAL TOPICS
MATH 707: ST: OPTIMIZATION
MATH 707: ST: SPECIAL PROJECTS
MATH 112: CALCULUS II
MATH 213: CALCULUS III B
MATH 331: INTRO PARTIAL DIFF EQ
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 440: ADV APPL NUMERICAL METH
MATH 440: ADVANCED APPLIED NUMERICAL METHODS
MATH 473: INTERMED DIFFEREN EQUATN
MATH 473: INTERMEDIATE DIFFERENTIAL EQUATIONS
MATH 480: INTRODUCTORY MATHEMATICAL ANALYSIS
MATH 481: ADVANCED CALCULUS
MATH 545: INTRODUCTORY MATHEMATICAL ANALYSIS
MATH 546: ADVANCED CALCULUS
MATH 573: INTERMED DIFF EQUATIONS
MATH 613: ADV APPLIED MATH-MODELNG
MATH 707: ADVANCED APPLIED MATHEMATICS IV: SPECIAL TOPICS
MATH 707: ST: OPTIMIZATION
MATH 707: ST: SPECIAL PROJECTS
Journal Article
David G. Shirokoff, Dong Zhou, Benjamin Seibold, Rodolfo Rosales. 2024. “Spatial Manifestations of Order Reduction in Runge-Kutta Methods for Initial Boundary Value Problems.” Communications in Mathematical Sciences, pp. 42.
David G. Shirokoff, Abhijit Biswas, David Ketcheson, Benjamin Seibold. 2024. “Algebraic structure of the weak stage order conditions for Runge-Kutta methods.” SIAM Journal on Numerical Analysis.
Abhijit Biswas, David Ketcheson, Benjamin Seibold, David G. Shirokoff. 2023. “Design of DIRK Schemes with High Weak Stage Order.” Communications in Applied Mathematics and Computational Science, pp. 23.
Rodolfo Rosales, Benjamin Seibold, David G. Shirokoff, Dong Zhou. 2021. “High-order Finite Element Methods for a Pressure Poisson Equation Reformulation of the Navier-Stokes Equations with Electric Boundary Conditions.” Computer Methods in Applied Mechanics and Engineering, vol. 373, pp. 113451.
William Batson, Linda J. Cummings, David G. Shirokoff, Lou Kondic. 2019. “Oscillatory instability of liquid films nonlocally heated from below.” Journal of Fluid Mechanics, vol. 872, pp. 928-962.
David G. Shirokoff, Abhijit Biswas, David Ketcheson, Benjamin Seibold. 2024. “Algebraic structure of the weak stage order conditions for Runge-Kutta methods.” SIAM Journal on Numerical Analysis.
Abhijit Biswas, David Ketcheson, Benjamin Seibold, David G. Shirokoff. 2023. “Design of DIRK Schemes with High Weak Stage Order.” Communications in Applied Mathematics and Computational Science, pp. 23.
Rodolfo Rosales, Benjamin Seibold, David G. Shirokoff, Dong Zhou. 2021. “High-order Finite Element Methods for a Pressure Poisson Equation Reformulation of the Navier-Stokes Equations with Electric Boundary Conditions.” Computer Methods in Applied Mechanics and Engineering, vol. 373, pp. 113451.
William Batson, Linda J. Cummings, David G. Shirokoff, Lou Kondic. 2019. “Oscillatory instability of liquid films nonlocally heated from below.” Journal of Fluid Mechanics, vol. 872, pp. 928-962.
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Conference Proceeding
“DIRK Schemes with High Weak Stage Order”
August 2020.
August 2020.
Chapter
David Shirokoff, Benjamin Seibold, Dong Zhou, Rodolfo Rosales, Prince Chidyagwai. 2014. “Meshfree finite differences for a vector Poisson and pressure Poisson equation with electric boundary conditions.” In Griebel, M. and Schweitzer, M.A. (Eds.), pp. 223--246. Meshfree Methods for Partial Differential Equations VII, Springer, 2014.