Ebook: Solving Elliptic Problems Using ELLPACK
- Tags: Numerical Analysis
- Series: Springer Series in Computational Mathematics 2
- Year: 1985
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving environments or expert systems that will become common in the next decade. While it is still far removed from the goals of the future, it is also far advanced compared to the Fortran library approach in common current use. Many people will find ELLP ACK an easy way to solve simple or moderately complex elliptic problems. Others will be able to solve really hard problems by digging a little deeper into ELLP ACK. ELLP ACK is a research tool for the study of numerical methods for solving elliptic problems. Its original purpose was for the evaluation and comparison of numerical software for elliptic problems. Simple examples of this use are given in Chapters 9-11. The general conclusion is that there are many ways to solve most elliptic problems, there are large differences in their efficiency and the most common ways are often less efficient, sometimes dramatically so.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Introduction....Pages 3-24
The ELLPACK Language....Pages 25-47
Examples....Pages 49-59
Advanced ELLPACK Features....Pages 61-86
Extending ELLPACK to Nonstandard Problems....Pages 87-135
Front Matter....Pages 137-137
The ELLPACK Modules....Pages 139-235
ITPACK Solution Modules....Pages 237-258
Front Matter....Pages 259-259
Performance and its Evaluation....Pages 261-264
The Model Problems....Pages 265-268
Performance of Discretization Modules....Pages 269-294
Performance of Solution Modules....Pages 295-307
Front Matter....Pages 309-309
Software Parts for Elliptic Problems....Pages 311-318
Interface Specifications....Pages 319-342
Module Interface Access....Pages 343-346
Programming Standards....Pages 347-356
Preprocessor Data....Pages 357-370
Front Matter....Pages 371-371
Installing ELLPACK....Pages 373-391
Tailoring ELLPACK....Pages 393-414
Back Matter....Pages 415-497
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Introduction....Pages 3-24
The ELLPACK Language....Pages 25-47
Examples....Pages 49-59
Advanced ELLPACK Features....Pages 61-86
Extending ELLPACK to Nonstandard Problems....Pages 87-135
Front Matter....Pages 137-137
The ELLPACK Modules....Pages 139-235
ITPACK Solution Modules....Pages 237-258
Front Matter....Pages 259-259
Performance and its Evaluation....Pages 261-264
The Model Problems....Pages 265-268
Performance of Discretization Modules....Pages 269-294
Performance of Solution Modules....Pages 295-307
Front Matter....Pages 309-309
Software Parts for Elliptic Problems....Pages 311-318
Interface Specifications....Pages 319-342
Module Interface Access....Pages 343-346
Programming Standards....Pages 347-356
Preprocessor Data....Pages 357-370
Front Matter....Pages 371-371
Installing ELLPACK....Pages 373-391
Tailoring ELLPACK....Pages 393-414
Back Matter....Pages 415-497
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