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

2025 Fall Courses

MATH 707 - ST: OPTIMIZATION

MATH 791 - GRADUATE SEMINAR

MATH 790A - DOCT DISSERTATION & RES

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 573: INTERMEDIATE DIFFERENTIAL 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, Abhijit Biswas, David Ketcheson, Steven Roberts, Benjamin Seibold. 2025. "Explicit Runge Kutta Methods that Alleviate Order Reduction." SIAM Journal on Numerical Analysis , vol. 63 , no. 4 , pp. 1398--1426.

David G. Shirokoff, Philip Zaleski. 2025. "Convergence of Markov Chains for Constant Step-size Stochastic Gradient Descent with Separable Functions." SIAM Journal on Applied and Dynamical Systems , vol. 24 , no. 3 , pp. 2005--2043.

Austin Juhl, David G. Shirokoff. 2024. "Algebraic Conditions for Stability in Runge-Kutta Methods and Their Certification via Semidefinite Programming." Applied Numerical Mathematics , vol. 207 , pp. 136-155.

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, Dong Zhou, Benjamin Seibold. 2019. "Unconditional Stability for Multistep ImEx Schemes: Practice." Journal of Computational Physics , vol. 376 , no. 1 , pp. 27.

David Shirokoff, Mahdi Bandegi. 2018. "Approximate global minimizers to pairwise interaction problems via convex relaxation." SIAM Journal on Applied Dynamical Systems , vol. 17 , no. 1 , pp. 40.

David G. Shirokoff, Dong Zhou, Benjamin Seibold, Rodolfo Rosales. 2017. "Unconditional Stability for Multistep ImEx Schemes: Theory." SIAM Journal on Numerical Analysis , vol. 55 , no. 5 , pp. 41.

David G. Shirokoff, Xinyu Cheng, Dong Li, Brian Wetton. 2016. "On the spectral gap of a square distance matrix." Journal of Statistical Physics , vol. 166 , no. 3-4 , pp. 1029–1035.

Ryan Galagusz, David G. Shirokoff, Jean-Christophe Nave. 2016. "A Fourier penalty method for solving the time dependent Maxwell's equations in domains with curved boundaries." Journal of Computational Physics/Elsevier , pp. 44.

David G. Shirokoff, Rustum Choksi, Jean-Christophe Nave. 2015. "Sufficient Conditions for Global Minimality of Metastable States in a Class of Non-convex Functionals: A Simple Approach Via Quadratic Lower Bounds." Journal of Nonlinear Science/Springer , pp. 44.

David G. Shirokoff. 2015. "A Sharp-interface active penalty method for the incompressible Navier-Stokes equations." Journal of Scientific Computing , vol. 62 , no. 1 , pp. 24.

Conference Proceeding

"DIRK Schemes with High Weak Stage Order"
August, 2020.

Chapter

David Shirokoff, Benjamin Seibold, Dong Zhou, Rodolfo Rosales, Prince Chidyagwai. "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.

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