Numerical solution of partial differential equations in science and engineering.

*(English)*Zbl 0584.65056
A Wiley-Interscience Publication. New York etc.: John Wiley & Sons, Inc. IV, 667 p. (1982).

From the preface: ”This book was written to provide a text for graduate and undergraduate students who took our courses in numerical methods. It incorporates the essential elements of all the numerical methods currently used extensively in the solution of partial differential equations encountered regularly in science and engineering. Because our courses were typically populated by students from varied backgrounds and with diverse interests, we have attempted to eliminate jargon or nomenclature that would render the work unintelligible to any student. Moreover, in response to student needs, we have incorporated not only classical (and not so classical) finite-difference methods but also finite-element, collocation, and boundary-element procedures. After an introduction to the various numerical schemes, each equation type - parabolic, elliptic, and hyperbolic - is allocated a separate chapter. Within each of these chapters the material is presented by numerical method. Thus one can read the book either by equation-type or numerical approach.” Contents: Chapter 1. Fundamental concepts; Chapter 2. Basic concepts in the finite difference and finite element methods; Chapter 3. Finite elements on irregular subspaces; Chapter 4. Parabolic partial differential equations; Chapter 5. Elliptic partial differential equations; Chapter 6. Hyperbolic partial differential equations; Index.

{Editor’s remark: The publisher did not send a copy for reviewing.}

{Editor’s remark: The publisher did not send a copy for reviewing.}

##### MSC:

65Mxx | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |

65Nxx | Numerical methods for partial differential equations, boundary value problems |

65-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis |

00A06 | Mathematics for nonmathematicians (engineering, social sciences, etc.) |

35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |

35K05 | Heat equation |

35L05 | Wave equation |