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Course: M 348, Fall 2009School: University of Texas
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Homework M348 10 Due 4/18/08 in class 1. (10 points) BF 5.11 # 1(b). (Use a C++ code) 2. (20 points) Solve BF 5.11 # 1(b) by implicit Euler method, and compare results with Problem 1. (Use a C++ code) 3. (20 points) Solve BF 5.11 # 1(b) by implicit Trapezoidal method, and compare results with Problem 1. (Use a C++ code) 4. (20 points) BF 6.1 # 3(a). (Solve it by hand, step by step.) 5. (20 points) the Solve...
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Homework M348 10
Due 4/18/08 in class
1. (10 points) BF 5.11 # 1(b). (Use a C++ code) 2. (20 points) Solve BF 5.11 # 1(b) by implicit Euler method, and compare results with Problem 1. (Use a C++ code) 3. (20 points) Solve BF 5.11 # 1(b) by implicit Trapezoidal method, and compare results with Problem 1. (Use a C++ code) 4. (20 points) BF 6.1 # 3(a). (Solve it by hand, step by step.) 5. (20 points) the Solve problem above by a naive Gaussian elimination code. Hint, see class notes. 6. (10 points) For what value of does naive Gaussian elimination fails, explain what happens in the computer. x1 + x2 = 2 . x1 + x2 = 2 + Write...
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2 = 2 2G|k | + k 2 Vs 2 = 2 2G|k | F (, k, R )(Gas) (Stars)(r) = GV(r ) 3 dr |r r| r r (r ) d3 r |r r|3F(r) = (r) = GV F(r) = 4G(r)2 2(r) = 4G(r) (r) = 04GM = 4GV(r) d3 r F(r) d3 r =A 3=VF(r) d2 S | |2 d3 rV1
University of Texas - M - 348
M348 Homework 11Due 4/25/08 in class1. (20 points) BF 6.2 # 6. 2. (10 points) BF 6.2 # 9(a). 3. (10 points) BF 6.2 # 15(a). 4. (40 points) BF 6.3 # 1. (If a matrix is nonsingular, use a C+ code to compute its inverse.) 5. (20 points) BF 6.4 # 7. W
University of Texas - M - 348
M348 Homework 2Due 2/1/08 in class1. BF 2.1 # 3. (Please show the sequence of p s you got. Do not solve it by a computer program.) 2. Write a C+ code to solve BF 2.1 # 5(c). You may use the code posted on the HW page as reference. 3. BF 2.1 # 15 4
University of Texas - M - 348
M348 Homework 3Due 2/8/08 in class1. BF 2.2 # 4. 2. BF 2.2 # 12(a). (In part (ii), perform the calculations by hand and show the sequence {pn }.) 3. BF 2.2 # 12(c). (In part (ii), solve this by a C+ code. Attach both the code and the results.) 4.
University of Texas - M - 348
M348 Homework 5Due 2/29/08 in class1. BF 3.3 # 1(a). (Solve it by the method taught in class. Not by Theorem 3.9 or Algorithm 3.3) 2. BF 3.4 # 3(c). 3. BF 3.4 # 11. 4. BF 3.4 # 14. 5. Derive by Taylor series an approximation of f (x) using three p
UVA - ASTR - 553
% 8 G & # % & 7 & 6 & C 3 & % 8 S & 4 9 & I 7 0 9 65" T0 & C & % 0 2 & T0 D # 1" 8 # i 1" 3 0 C 3 8 2 G 1 8" 2 % & I2 " 9 63" H 85 & T 5 0 % 3 1 & H & C 3 # 1" 2 0 & % H 1" 6 4 I 8 85 @H 0 4 9 & & S & C 3 3 $ H p G h t P 2 & 5 4 & & s g % & @ " % 3
UVA - ASTR - 553
UVA - ASTR - 553
UVA - ASTR - 553
UVA - ASTR - 553
UVA - ASTR - 553
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UVA - ASTR - 553
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UVA - ASTR - 553
UVA - ASTR - 553
UVA - ASTR - 553
UVA - ASTR - 553
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Georgia Tech - CS - 7450
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