- M353 Syllabus (S. Zhang) Last update: February 7, 2011.
- On a nested refinement of anisotropic tetrahedral grids under Hessian metrics
- M353 Hw 1 (S. Zhang) 0.2, 0.3. 0. 0.2: 2df, 4df
- M242 Hw9 (S. Zhang) 11.9, 10, 11. Friday, 10:10AM -11:00AM GOR103
- A new divergence-free interpolation operator with applications to the Darcy-Stokes-Brinkman equations
- Invertible Jacobian for Hexahedral Finite Elements. Part 1. Bijectivity
- M353 Hw 8 (S. Zhang) . 0. 5.2: 1c,2c,4c, a:Find the interpolation and error.
- M353 Hw10 (S. Zhang) 7.1-2 8.3. 0. 7.1: c1a(2 bisection Euler shooting on [0, 1] with h = 1/2, 5
- M353 7.1 (S. Zhang) shooting. (7.1:c1) Solve the boundary value problem
- M242 Hw7 (S. Zhang) 11.3-5 . 11.3: 6-13, 18-20, 34-37, 42
- M353 Matlab Tutorial 2 (S. Zhang) . 1. For x = 10p
- Subtetrahedral test for the positive Jacobian of hexahedral Shangyou Zhang
- On the full C1-Qk finite element spaces on rectangles and boxes Shangyou Zhang
- Divergence-free finite elements on tetrahedral grids for k 6 Shangyou Zhang
- Bases for C0-P1 divergence-free elements and for C1-P2 finite elements on union jack grids
- The divergence-free finite elements for the stationary Stokes equations
- M353 Matlab Project 2 (S. Zhang) Due 3/7, 7pm. 1. (1.1:c2b) Bisection to 8 decimal places (out put the num-
- M353 5.1 FD (S. Zhang) Practice . 0. 5.1: 1c, 2c, 3c, 4c, 5c, 6c, practice(not hw)
- M353 Matlab Tutorial 3 (S. Zhang) . Bisection to 6 decimal places (out put the number of iter-
- M353 Matlab Tutorial 7 (S. Zhang) . 1. (5.1:c1) Make a table of the error of 3-pt central differ-
- M353 Hw 3 (S. Zhang) 1.4, 1.5 2.1. 0. 1.4:1ab, 3, 5, a1
- M353 Hw 4 (S. Zhang) 2.1. 0. 2.1:2ab,3,4a,5,6
- M353 Hw 5 (S. Zhang) 2.3-4. 0. 2.3: 1b,2c, 4ab, 6ace, 13b, 15
- M353 Hw 7 (S. Zhang) . 0. 4.1: 1b, 2b, 3, 4, 7a, 8a, 9a, 10a, 12
- M242 Hw1 (S. Zhang) . 1.6: 35-36, 48-49, 61-63
- M242 Hw3 (S. Zhang) 6.3, 6.5. 6.3: 4-5, 10-11, 16-17, 22-24, 29-32, 39-41
- M242 Hw6 (S. Zhang) 8.1,11.1-2. 8.1: 1, 7-9, 16(x: 0 to 1),17(u2
- M242 Hw10 (S. Zhang) . 10.1: 1, 6-8, 11-13, 19
- M353 Matlab Tutorial 1 (S. Zhang) . 1. Getting started. Type in Command Window
- Quadratic divergence-free finite elements on Powell-Sabin tetrahedral grids
- Invertible Jacobian for Hexahedral Finite Elements. Part 2. Global Positivity
- M242 Hw2 (S. Zhang) 4.8, 6.1-2 . 4.8: 5-7, 11-12, 35-36
- M353 Hw 2 (S. Zhang) 0.4, 1.1, 1.2 . 0. 0.4: 1a, 2, a1-a2
- M353 Matlab Tutorial 5 (S. Zhang) . (2.1:c2a') Simple GE.
- A family of continuously differentiable finite elements on simplicial grids in four space dimensions
- M353 Hw 6 (S. Zhang) 2.5 3.1 3.2. 0. 2.5: 1ab, 2ab, 3a, 4a
- M353 Syllabus (S. Zhang) Last update: February 7, 2011.
- M353 Matlab Tutorial 11 (S. Zhang) . 0. 7.2:c1a;
- LLNL-JRNL-409341 A New Approach for Solving Stokes
- M353 (S. Zhang) 0.4. 0. 0.4: 1a, 2, a1-a2
- A lowest order divergence-free finite element on rectangular grids Yunqing Huang
- M353 Hw9 (S. Zhang) . 0. 6.1:3b,4ac,5b,6ac
- M242 Hw4 (S. Zhang) 7.1-3 . 7.1: 2-4, 7-10, 15, 17-18, 22-23, 27-29, 33-34, 47-48, 51-52.
- M242 Hw5 (S. Zhang) 7.4 , 7.7, 7.8. 7.4: 1,2a,3,4a, 7-12, 16-18, 39-40, 47-49, 51
- M242 Hw8 (S. Zhang) 11.6, 11.8: . 11.6: 4-8, 12-14, 20-23, 27-28, 31
- M242 Syllabus (S. Zhang) Last update: September 13, 2010.
- On the family of divergence-free finite elements on tetrahedral grids for the Stokes equations
- On the jump-independence of the weighted L2 Shangyou Zhang
- M426 Homework #1 (S. Zhang) 1.1-1.5 . 1. Find the Taylor series of f(x) = cos x at a = 0. Find the
- M426 Syllabus (S. Zhang) Last update: September 6, 2011.
- M611 Hw2 Solution (S. Zhang) . 1. (#3) Given the Newton's divided-differences table
- M611 Homework 5 (S. Zhang) Due 11/7 1. Let f(x) = sin x, x0 = /3. Approximate f (x0).
- M611 Project 3 (S. Zhang) Due 12/7, 5pm Instruction: Project format
- M426 Hw #1 Solution (S. Zhang) . 1. (#3) Find p(3) by Horner's method. Show all steps.
- M426 Hw#6 (S. Zhang) Due 11/11 1. Find the least square solution in the Krylov subspace K1(u),
- M426 Hw6 Solution (S. Zhang) Find the least square solution in the Krylov subspace
- M611 Tutorial 1 (S. Zhang) 1. For x = 10p
- M611 Hw5 Solution (S. Zhang) 1. (#2) Use the (3-pt) central difference to approximate
- M426 Hw8 Solution (S. Zhang) 1. (#2) For finding the root of the function in the given
- M611 Project 1 (S. Zhang) Due 11/7, 11pm Instruction: Project format
- M611 Hw6 Solution (S. Zhang) 1. (#4) Find the region of stability on the real line: h R1
- M611 Hw4 Solution (S. Zhang) . 1. (#1) Compute the integral on the grid by the midpoint
- M611 Hw1 Solution (S. Zhang) . 1. (#5) Find the IEEE double precision representation, and
- M426 Matlab Project 2 (S. Zhang) Due 11/4, 5pm Instruction: Project format
- M611 (S. Zhang) Lecture notes (11/21/2011) 1. Solve the finite difference equations for the Laplace equation
- M611 Hw3 Solution (S. Zhang) . 1. (#1) (9.11.3) Let a Lagrange quadrature formula on
- M426 Hw4 Solution (S. Zhang) . 1. (#2) (3.4.1) Show that if A is any nonzero m1 matrix,
- M426 Homework #2 (S. Zhang) . 1. Find an alternate formula for
- M426 Hw#7 (S. Zhang) Due 11/18 1. (1) Express the equation as a fixed point iteration in 3 ways.
- M611 Syllabus (S. Zhang) Last update: August 29, 2011.
- M611 Homework 1 (S. Zhang) . 1. Convert a = (101.01 101)2 to a base 10 fraction.
- M611 Homework 7 (S. Zhang) Due 11/28 1. Given an initial value problem
- M611 Homework 6 (S. Zhang) Due 11/16 1. Prove the discrete Cronwall inequality. Suppose
- M611 (S. Zhang) 1. Adaptive R-K with = 10-6
- M426 Tutorial 2. (S. Zhang) . 1. Using correct formula to find roots.
- M611 Hw7 Solution (S. Zhang) 1. (#1) Given an initial value problem
- M611 Homework 2 (S. Zhang) Due 10/5. 1. (8.10.7) Prove the recursive relation for Newton divided
- M426 Hw#5 (S. Zhang) Due 11/4 1. (4.5.2(a)) Find the Householder matrix and Hessenberg
- M426 Hw2 Solution (S. Zhang) . 1. (#1) Find an alternate formula for
- M426 Matlab Project 3 (S. Zhang) Due 11/16, 5pm Instruction: Project format
- M426 Hw5 Solution (S. Zhang) 1. (#1) (4.5.2(a)) Find the Householder matrix and Hes-
- M426 Hw#8 (S. Zhang) Due 11/28 1. For finding the root of the function
- M611 Homework 8 (S. Zhang) Due 12/5 Homework 8 and 9 will not be examined. Homework 8 is on
- M426 Matlab Project 4 (S. Zhang) Due 12/2, 5pm Instruction: Project format
- M426 Hw#3 (S. Zhang) Due 10/10. 1. Find x 1, x 2, x , A 1, A 2, A .
- M611 Project 2 (S. Zhang) Due 12/5, 11pm Instruction: Project format
- M426 Hw7 Solution (S. Zhang) 1. (#3) Find the convergence order and the rate of the New-
- M611 Homework 3 (S. Zhang) Due 10/12. 1. (9.11.3) Let a Lagrange quadrature formula on n + 1
- M426 Matlab Project 1 (S. Zhang) Due Oct 5, 5pm. 1. Approximate sin 1 and tan-1
- M426 (S. Zhang) 1. Use eig to find the eigenvalues of A and the eigenvector v1
- M838 Syllabus (S. Zhang) Last update: February 6, 2012
- A divergence-free finite element method for a type of 3D Maxwell equations
- M243 H12 (S. Zhang) . 0. 16.4: 1-6, 12-14, 17-18 (Green's Theorem)
- arXiv:submit/0383380[math.NA]19Dec2011 ON A ROBIN-ROBIN DOMAIN DECOMPOSITION METHOD WITH
- INTERNATIONAL JOURNAL OF c 2011 Institute for Scientific NUMERICAL ANALYSIS AND MODELING, SERIES B Computing and Information
- M243 H4 (S. Zhang) . 0. 13.2:3-5,13-16,19-23,37-40
- M243 Study Guide (for E3) (S. Zhang) Please practice them on your own. Solutions will be posted online.
- M243 Study Guide (for E3) (S. Zhang) Please practice them on your own. Solutions will be posted online.
- M243 H5 (S. Zhang) . 0. 14.1:6-9,17-20,27-29,39,47-48,61-62
- M243 Study Guide (for the Final, +G1+G2+G3) (S. (a) Show that the vector F is conservative.
- Jump-independent approximation in conforming and nonconforming finite element spaces
- Superconvergence of the Qk+1,k-Qk,k+1 divergence-free finite element
- M243 H10 (S. Zhang) . 0. 16.1: 3-4, 11-18, 24-26. (Vector fields).
- Front. Math. China 2011, 6(2): 253270 DOI 10.1007/s11464-011-0094-0
- M243 Syllabus (S. Zhang) Last update: February 14, 2010.
- M838 Project 1 (S. Zhang) Due 4/11, 11pm 1. We solve the Poisson equation
- MATHEMATICS OF COMPUTATION Volume 80, Number 274, April 2011, Pages 669695
- M243 H2 (S. Zhang) (February 26, 2010). 0. 12.3: 2, 5, 14, 18, 23, 25, 36, 37, 42, 44, 46, 51
- M243 H8 (S. Zhang) . 0. 15.1: 2,4, 12-13 (Double integrals over rectangles)
- M243 Study Guide (for E2) (S. Zhang) Please practice them on your own. Solutions will be posted online.
- A New Approach For Solving Stokes Systems Arising from a Distributive Relaxation Method
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. NUMER. ANAL. c 2011 Society for Industrial and Applied Mathematics
- M243 Homework 11, Due Thursday (S. Zhang) . 1. Evaluate the integral by reversing the order.
- M353 Tutorial 7 (S. Zhang) 1. (1.5:c2a) Apply False Position method to find the root to 8
- M243 Tutorial # 16 (S. Zhang) . 1. Find all the first and the second partial derivatives (upto 5 decimal places) at (1, 2)
- Applied Numerical Mathematics 59 (2009) 219233 www.elsevier.com/locate/apnum
- M243 Study Guide (for E1) (S. Zhang) Please practice them on your own. Solutions will be posted.
- M243 H13 (S. Zhang) . 0. 16.6: 24-26, 35-38, 42-46 Parametric surfaces and their areas.
- FINITE ELEMENT METHODS WITH COORDINATE CHARTS FOR SOLVING ELLIPTIC EQUATIONS ON MANIFOLDS
- M243 H6 (S. Zhang) 14.3,4,5. 0. 14.3: 31-33,46-49,,56-58,63-64, 73, 89, 94
- FLUX-CONSERVING FINITE ELEMENT METHODS SHANGYOU ZHANG , ZHIMIN ZHANG , AND QINGSONG ZOU
- M353 Tutorial 4 (S. Zhang) 1. (1.2:c2b) Fixed point iteration to 8 dec places
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. SCI. COMPUT. c 2010 Society for Industrial and Applied Mathematics
- Calcolo (2011) 48:211244 DOI 10.1007/s10092-010-0035-4
- M243 Homework 11, Due Thursday (S. Zhang) . 1. Evaluate the integral by reversing the order.
- M243 H9 (S. Zhang) . 0. 15.4: 11-16, 21-24, 31-32
