Jon Wilkening
Professor of Mathematics
Department of Mathematics
University of California
Berkeley, CA 94720-3840
wilkening@berkeley.edu
Office: 1051 Evans
(510) 643-7990 (campus)
(510) 486-7006 (
LBNL
)
publications
software
CV
seminars:
Applied Math Seminar
other Berkeley math seminars
awards and honors:
National Science Foundation Faculty Early Career Development Award (CAREER), 2010-2015.
Frederick A. Howes Scholar in Computational Science, 2003.
Department of Energy Computational Science Graduate Student Fellowship, 1997-2001.
Flinn Foundation Scholarship, 1992-1996.
current research interests:
water waves, vortex sheets, mode-locked lasers, periodic solutions
boundary value problems, adjoint methods, shape optimization, PDE-constrained optimization
Dirichlet to Neumann operators in solid and fluid mechanics, semigroup theory, grain-boundary diffusion
Numerical optimization, optimal transportation, high order time-stepping, spectral deferred correction
least squares finite elements, singular basis functions, interface problems in elasticity
perturbation methods, lubrication theory, stable representations of corner singularities
numerical linear algebra, multigrid, canonical forms of matrices, Jordan chains
generalized Gaussian quadrature rules, free space Poisson problems, micro-magnetics
editorial boards:
Advances in Computational Mathematics
Quarterly of Applied Mathematics
SIAM Journal on Applied Mathematics
(2017-25)
Pure and Applied Analysis
scientific advisory boards and conferences co-organized:
SIAM Northern and Central California Sectional Meeting (
NCC24
)
ICERM
scientific advisory board (2017-22)
ICERM semester program on
Singularities and Waves in Incompressible Fluids
(2017)
teaching:
Math 228B
: Numerical Solution of Differential Equations (Spring 2026)
Math 156
: Numerical Analysis for Data Science and Statistics (Spring 2025)
Math 156
: Numerical Analysis for Data Science and Statistics (Fall 2023)
Math 191
: Numerical Analysis for Data Science and Statistics (Spring 2023)
Math 228B
: Numerical Solution of Differential Equations (Spring 2023)
Math 118
: Fourier Analysis, Wavelets and Signal Processing (Fall 2022)
Math 228B
: Numerical Solution of Differential Equations (Spring 2021)
Math 228A
: Numerical Solution of Differential Equations (Fall 2020)
Math 16B
: Calculus and Analytic Geometry (Spring 2020)
Math 128A
: Numerical Analysis (Fall 2018)
Math 16B
: Calculus and Analytic Geometry (Spring 2018)
Math 224A
: Mathematical Methods for the Physical Sciences (Fall 2016)
Math 224B
: Mathematical Methods for the Physical Sciences (Spring 2015)
Math 128A
: Numerical Analysis (Fall 2014)
Math 224A
: Mathematical Methods for the Physical Sciences (Fall 2014)
Math 126
: Introduction to Partial Differential Equations (Fall 2012)
Math 16B
: Calculus and Analytic Geometry (Fall 2012)
Math 204
: Ordinary Differential Equations (Fall 2011)
Math 128A
: Numerical Analysis (Summer 2011)
Math 118
: Fourier Analysis, Wavelets and Signal Processing (Spring 2011)
Math 228B
: Numerical Solution of Differential Equations (Spring 2011)
Lecture notes (supplement to 2007 notes)
.
Math 16B
: Calculus and Analytic Geometry (Spring 2010)
Math 204
: Ordinary Differential Equations (Fall 2009)
Math 118
: Fourier Analysis, Wavelets and Signal Processing (Spring 2009)
Math 1B
: Calculus (Fall 2008),
homework page
Math 1A
: Calculus (Spring 2008),
homework page
Math 228A
: Numerical Solution of Differential Equations (Fall 2007)
Lecture notes
.
Math 228B
: Numerical Solution of Differential Equations (Spring 2007)
Lecture notes
.
Math 228A
: Numerical Solution of Differential Equations (Fall 2006)
Math 204A
: Ordinary and Partial Differential Equations (Fall 2006)
Math 224B
: Mathematical Methods for the Physical Sciences (Spring 2006)
Math 275
: Topics in Applied Mathematics (Fall 2005)