Listing 1 - 2 of 2 |
Sort by
|
Choose an application
Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.
Differential equations, Partial --- Computer-assisted instruction --- Computer-assisted instruction. --- MATLAB. --- Computer mathematics. --- Fourier analysis. --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Computational Mathematics and Numerical Analysis. --- Fourier Analysis. --- Analysis. --- Partial Differential Equations. --- Partial differential equations --- 517.1 Mathematical analysis --- Mathematical analysis --- Analysis, Fourier --- Computer mathematics --- Electronic data processing --- Mathematics --- Differential equations, Partial - Computer-assisted instruction
Choose an application
Differential equations, Partial --- Computer-assisted instruction --- 519.63 --- 517.9 --- 681.3*G18 --- Numerical methods for solution of partial differential equations --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Basic Sciences. Mathematics --- Computer-assisted instruction. --- Differential and Integral Equations --- MATLAB. --- Differential and Integral Equations. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 519.63 Numerical methods for solution of partial differential equations --- Partial differential equations --- MATLAB (Computer program) --- Matrix laboratory --- 681.3 *G18 --- MATLAB (Computer file) --- Differential equations, Partial - Computer-assisted instruction --- Acqui 2006
Listing 1 - 2 of 2 |
Sort by
|