![]() Text: Nagle, Saff, and Snider, Fundamentals of Differential Equations, 8th Edition. PSU offers Mathematics drop-in and online tutoring, ODEs/PDEs included! Office hours: McAllister 332, Mondays 9-10:30am, Wednesdays 3-4:30, and by appointment. Lectures: MWRF 12:20 - 1:10pm, Huck Life Sciences Bldg 011. 431–446.Math 251H, Section 1: Ordinary and Partial Differential Equations (Spring 2018) Tseng, A modified forward-backward splitting method for maximal monotone mappings, SIAM J. ![]() Linear/nonlinear iterative methods and verification of solution, (Matsuyama, 1993), J. Tseng, On linear convergence of iterative methods for the variational inequality problem. NFAODL 0163-0563 Crossref ISI Google Scholar Svaiter, A unified framework for some inexact proximal point algorithms, Numer. MOREDQ 0364-765X Crossref ISI Google Scholar Svaiter, An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions, Math. Svaiter, A hybrid projection-proximal point algorithm, J. Svaiter, A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator, Set-Valued Anal., 7 ( 1999), pp. Rockafellar, Monotone operators and the proximal point algorithm, SIAM J. TAMTAM 0002-9947 Crossref ISI Google Scholar Rockafellar, On the maximality of sums of nonlinear monotone operators, Trans. PJMAAI 0030-8730 Crossref ISI Google Scholar Rockafellar, On the maximal monotonicity of subdifferential mappings, Pacific J. MCMOEG 0895-7177 Crossref ISI Google Scholar ![]() Noor, An extraresolvent method for monotone mixed variational inequalities, Math. MHPGA4 0025-5610 Crossref ISI Google Scholar Nesterov, Dual extrapolation and its applications to solving variational inequalities and related problems, Math. Judin, Cesàro convergence of the gradient method for the approximation of saddle points of convex-concave functions, Dokl. Nemirovskiı˘, Effective iterative methods for solving equations with monotone operators, Èkonom. Nemirovski, Prox-method with rate of convergence $O(1/t)$ for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems, SIAM J. Svaiter, On the complexity of the hybrid proximal extragradient method for the iterates and the ergodic mean, SIAM J. ISJMAP 0021-2172 Crossref ISI Google Scholar Lions, Une méthode itérative de résolution d'une inéquation variationnelle, Israel J. Konnov, A combined method for solving variational inequalities with monotone operators, Zh. Svaiter, Enlargement of monotone operators with applications to variational inequalities, Set-Valued Anal., 5 ( 1997), pp. JMANAK 0022-247X Crossref ISI Google Scholar ![]() ![]() Bruck, On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space, J. ![]()
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