Analysis of numerical methods

... ANALYSIS OF NUMERICAL METHODS EUGENE ISAACSON Professor Emeritus of Mathematics Courant Institute of Mathematical Sciences New York University HERBERT BISHOP KELLER Profes~or of Applied ... present in any computation A most important feature of the later analysis of numerical methods is the incorporation of a treatment of the effects of such rounding errors Final...

Ngày tải lên: 01/04/2015, 19:34

... Come Analysis of Structures: An Introduction Including Numerical Methods The location of the resultant force is also depicted in Figure 1.6.5 Of course, surfaces are not always planar and rectangular ... Yet to Come Analysis of Structures: An Introduction Including Numerical Methods write down the three equations of static equilibrium and solve them for t...

Ngày tải lên: 16/03/2014, 22:20

Ngày tải lên: 13/11/2014, 11:08

... thesis modeling and simulation efforts are devoted to developing numerical methods for the electrical analysis of high- speed interconnects and multilayer circuits 1.1 Background 1.1.1 High- Speed Interconnects ... developing numerical methods for the electrical analysis of high- speed interconnects requiring full-wave modeling and multilayer ci...

Ngày tải lên: 16/09/2015, 15:55

... surface of cross section -118- 900 21 50 21 50 27 5 D2 D1 1700 25 0 P 325 P 1800 1700 100 520 0 Beam s A1 and A2 21 50 21 50 900 27 5 P D2 D1 1700 1800 375 325 P 1700 520 0 Beam s B1 21 50 21 50 900 27 5 D1 D2 ... e2θ ; * v1 = v1 ; * v2 = v2 ; θ 1* = θ ; * 2 = 2 ; where e1 and e2 are the eccentricities of cable at the deviators and 2, respectively -114- (6.7) u2*,v2*,θ 2* Ca...

Ngày tải lên: 07/11/2012, 11:04

... [K 11 ] 1 ({ΔF1 } + {R1 } − [K 21 ]{ΔU }) (2.22) {ΔF2 } = [K 22 ]{ΔU } + [K12 ]{ΔU } − {R2 } (2.23) K 12 ⎤ K 22 ⎥ ⎦ ⎧ ΔU ⎫ ⎬ ⎨ ⎩ΔU ⎭ (1) ⎧ ΔF ⎫ ⎧ R ⎫ = ⎨ 1 +⎨ 1 ⎩ΔF2 ⎭ ⎩ R2 ⎭ ⎡ K 11 ⎢K ⎣ 21 Solving ... (3 .18 a) 12 K 6K 12 K 6K ⎤ ⎡ ⎢0; − L3 ; − L2 ; 0; L3 ; − L2 ⎥ ⎣ ⎦ 12 K 1+ L2 (3 .18 b) ⎡ 12 ⎛ 12 K ⎞ 6 12 ⎛ 12 K ⎞ ⎤ 0; − + x; ⎜ − − ⎟ + x; 0; − x; ⎜ − ⎟ + x⎥ ⎢ L⎠ L ⎦ 12 K L...

Ngày tải lên: 07/11/2012, 11:04

... insight and extend our understanding of hedge fund risks to a wide range of equity oriented hedge fund strategies They characterised the risk exposures of hedge funds using buy -and- hold and option-based ... detailed analysis of hedge fund risks and returns is also important from the standpoint of asset pricing theory Understanding the hedge fund ris...

Ngày tải lên: 16/04/2013, 20:00

... concerns of random error, but round off error can be a persistent problem Numerical Methods and Data Analysis The extreme speed of contemporary machines has tremendously expanded the scope of numerical ... by the "right hand rule" while the magnitude depends on the rate of change of the x- and ycomponents of the vector field with respect to y and x 19 Numerical Methods an...

Ngày tải lên: 20/12/2013, 19:15

... perturbation method, the Neumann expansion series, or a projection on homogeneous chaos But all of these methods consider stochastic variables for which the density of probability is known (Gaussian ... the Interval Computations Applied to FEM amount of computations on simple discrete systems, as well as the accuracy of the solutions RESOLUTION OF INTERVAL LINEAR SYS...

Ngày tải lên: 12/01/2014, 21:45

... ASTM Annual Book of Standards, Part 31, D3694-78 “Standard Practices for Preparation of Sample Containers and for Preservation of Organic Constituents,” American Society for Testing and Materials, ... present, add 80 mg of sodium thiosulfate per liter of sample and mix well EPA Methods 330.4 and 330.5 may be used for measurement of residual chlorine.9 Field tes...

Ngày tải lên: 14/02/2014, 03:20

... secondary dilution standard be prepared at a concentration of 15 µg/mL of each internal standard compound The addition of 10 µL of this standard to 5.0 mL of sample or calibration standard would be ... the chemical analysis Additional references to laboratory safety are available and have been identified4,6 for the information of the analyst Apparatus and Materials 5.1 S...

Ngày tải lên: 14/02/2014, 03:20

... program consist of an initial demonstration of laboratory capability and an ongoing analysis of spiked samples to evaluate and document data quality The laboratory must maintain records to * ... µg/mL of each internal standard compound The addition of 10 µL of this standard to 5.0 mL of sample or calibration standard would be equivalent to 30 µg/L 7.3.3 Analyze eac...

Ngày tải lên: 05/03/2014, 21:20

... requirements of this program consist of an initial demonstration of laboratory capability and an ongoing analysis of spiked samples to evaluate and document data quality The laboratory must maintain records ... µL, analyze each calibration standard according to Section 11 and tabulate peak height or area responses against concentration for each compound and internal st...

Ngày tải lên: 05/03/2014, 21:20

... nested PCR principle can easily produce 3¢- end cDNA tag-specific frag- Methods for 3¢ end amplification from SAGE tags ments from the SAGE tags (see the protocol in Scheme in the Appendix for more ... (1999) Serial analysis of gene expression: rapid RT -PCR analysis of unknown SAGE tags Nucleic Acids Res 27, e17 34 Chen JJ, Rowley JD & Wang SM (2000) Ge...

Ngày tải lên: 07/03/2014, 00:20