David Shirokoff

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

MATH 791: GRADUATE SEMINAR

Linwan Feng, David G. Shirokoff, Wooyoung Choi. 2025. "Preconditioning and Linearly Implicit Time Integration for the Serre-Green-Naghdi Equations." Journal of Computational Physics, vol. 24, no. 3, pp. 2005-2043.

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.

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

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.