Solving Ordinary and Partial Boundary Value Problems in Science and Engineering (Computational Mechanics and Applied Analysis)

This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.
Discussions include:

ordinary differential equations

classical theory of partial differential equations

Laplace and Poisson equations

heat equation

variational methods of solution of corresponding boundary value problems

methods of solution for evolution partial differential equations
The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary.
Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.