ontents 12 Numerical Solutions to Partial Differential Equations 713 12.1 Elliptic Partial Differential Equations 716 12.2 Parabolic Partial Differential Equations 725 12.3 Hyperbolic Partial Differential Equations 739 12. 4 An Introduction to the Finite-Element Method 746 12.5 Survey of Methods and Software 760 Bibliography 763 Answers to selected exercises 773 Index 863 Copyright 2010 Cengage Learning. All Rights t materially affect the overall leaming eaperience Cengage Learning reserves the right to remo rty commen may be suppressed from the eBook andor eChaptert'sh. May no be copied, scanned, or duplicated, in whole or in part Due toviii Contents 12 Numerical Solutions to Partial Differential Equations 713 12.1 Elliptic Partial Differential Equations 716 12.2 Parabolic Partial Differential Equations 725 12.3 Hyperbolic Partial Differential Equations 739 12.4 An Introduction to the Finite-Element Method 746 12.5 Survey of Methods and Software 760 Bibliography 763 Answers to Selected Exercises 773 Index 863 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it