36:
222:
165:
68:
the second usually called truncation error is the difference between the exact mathematical solution and the approximate solution obtained when simplifications are made to the mathematical equations to make them more amenable to calculation. The term truncation comes from the fact that either these
43:
for the parameter m=2.0 which shows numerical error: "the plot of time series (plot of x variable with respect to number of iterations) stops fluctuating and no values are observed after n=50". Parameter m= 2.0, initial point is
35:
263:
206:
73:
expansion so as to make the computation possible and practical, or because the least significant bits of an arithmetic operation are thrown away.
292:
297:
140:
256:
199:
150:
282:
105:
58:
287:
249:
192:
115:
120:
83:
29:
172:
95:
17:
229:
100:
145:"Computational Error And Complexity In Science And Engineering", V. Lakshmikantham, S.K. Sen,
146:
136:
233:
176:
110:
70:
62:
276:
221:
21:
164:
40:
53:
It can be the combined effect of two kinds of error in a calculation.
34:
82:
Floating-point numerical error is often measured in ULP (
237:
180:
69:
simplifications usually involve the truncation of an
133:Accuracy and Stability of Numerical Algorithms
257:
200:
8:
264:
250:
207:
193:
7:
218:
216:
161:
159:
236:. You can help Knowledge (XXG) by
179:. You can help Knowledge (XXG) by
57:the first is caused by the finite
14:
220:
163:
1:
106:Error analysis (mathematics)
314:
293:Software engineering stubs
215:
158:
61:of computations involving
30:the numerical computations
298:Applied mathematics stubs
116:Kahan summation algorithm
232:-related article is a
175:-related article is a
135:, Nicholas J. Higham,
121:Numerical sign problem
84:unit in the last place
45:
38:
173:software-engineering
96:Loss of significance
18:software engineering
283:Computer arithmetic
230:applied mathematics
39:Time series of the
288:Numerical analysis
101:Numerical analysis
46:
245:
244:
188:
187:
65:or integer values
305:
266:
259:
252:
224:
217:
209:
202:
195:
167:
160:
28:is the error in
313:
312:
308:
307:
306:
304:
303:
302:
273:
272:
271:
270:
214:
213:
156:
129:
111:Round-off error
92:
80:
71:infinite series
51:
26:numerical error
12:
11:
5:
311:
309:
301:
300:
295:
290:
285:
275:
274:
269:
268:
261:
254:
246:
243:
242:
225:
212:
211:
204:
197:
189:
186:
185:
168:
154:
153:
143:
128:
125:
124:
123:
118:
113:
108:
103:
98:
91:
88:
79:
76:
75:
74:
66:
63:floating-point
50:
47:
13:
10:
9:
6:
4:
3:
2:
310:
299:
296:
294:
291:
289:
286:
284:
281:
280:
278:
267:
262:
260:
255:
253:
248:
247:
241:
239:
235:
231:
226:
223:
219:
210:
205:
203:
198:
196:
191:
190:
184:
182:
178:
174:
169:
166:
162:
157:
152:
148:
144:
142:
141:0-89871-355-2
138:
134:
131:
130:
126:
122:
119:
117:
114:
112:
109:
107:
104:
102:
99:
97:
94:
93:
89:
87:
85:
77:
72:
67:
64:
60:
56:
55:
54:
48:
42:
37:
33:
31:
27:
23:
19:
238:expanding it
227:
181:expanding it
170:
155:
132:
81:
52:
25:
15:
22:mathematics
277:Categories
151:0444518606
127:References
59:precision
90:See also
41:Tent map
78:Measure
44:random.
149:
139:
228:This
171:This
49:Types
234:stub
177:stub
147:ISBN
137:ISBN
20:and
86:).
32:.
16:In
279::
24:,
265:e
258:t
251:v
240:.
208:e
201:t
194:v
183:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
