TY - BOOK AU - Gockenbach Mark S TI - Partial Differential Equations: analytical and numerical methods SN - 9789386235404 U1 - 515.353 PY - 2011/// CY - Hyderabad PB - Universities Press KW - Partial Differential Equations KW - Analytical Methods KW - Numerical Methods KW - Differential Equations KW - Mathematics N1 - Includes bibliographical references and index; Preface; 1 Classification of Differential Equations; 2 Models in One Dimension; 3 Essential Linear Algebra; 4 Essential Ordinary Differential Equations; 5 Boundary Value Problems in Statics; 6 Heat Flow and Diffusion; 7 Waves; 8 First-Order PDEs and the Method of Characteristics; 9 Green’s Functions; 10 Sturm–Liouville Eigenvalue Problems; 11 Problems in Multiple Spatial Dimensions; 12 More about Fourier Series; 13 More about Finite Element Methods; Appendix A Proof of Theorem 3.47; Appendix B Shifting the Data in Two Dimensions; Bibliography; Index ER -