By Hans Petter Langtangen,Aslak Tveito
A light creation to complicated themes akin to parallel computing, multigrid equipment, and particular equipment for platforms of PDEs. The target of all chapters is to ‘compute’ strategies to difficulties, therefore algorithmic and software program concerns play a relevant function. All software program examples use the Diffpack programming atmosphere - a few event with Diffpack is needed. There also are a few chapters overlaying entire functions, i.e., the best way from a version, expressed as platforms of PDEs, via to discretization tools, algorithms, software program layout, verification, and computational examples. compatible for readers with a history in easy finite aspect and finite distinction equipment for partial differential equations.
Read or Download Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming (Lecture Notes in Computational Science and Engineering) PDF
Best differential equations books
The sequence of texts on Classical Theoretical Physics relies at the hugely winning classes given via Walter Greiner. The volumes supply an entire survey of classical theoretical physics and a huge variety of labored out examples and problems.
This ebook offers a coherent framework for realizing the dynamics of piecewise-smooth and hybrid platforms. an off-the-cuff creation expounds the ubiquity of such versions through various. the consequences are provided in a casual sort, and illustrated with many examples. The booklet is aimed toward a large viewers of utilized mathematicians, engineers and scientists in the beginning postgraduate point.
This booklet provides a brand new method of the research of networks, which emphasizes how you can compress a community whereas conserving all details relative to the network's spectrum. along with those compression strategies, the authors introduce a couple of different isospectral ameliorations and reveal how, jointly, those tools could be utilized to realize new ends up in a few parts.
This worthwhile monograph is dedicated to a speedily constructing zone at the study of qualitative conception of fractional traditional and partial differential equations. It presents the readers the mandatory heritage fabric required to head extra into the topic and discover the wealthy study literature.
- Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric Analysis of Surfaces (Lecture Notes in Mathematics)
- Dynamics of Evolutionary Equations (Applied Mathematical Sciences)
- Handbook of Differential Equations:Stationary Partial Differential Equations: 2 (Handbook of Differential Equations: Stationary Partial Differential Equations)
- Recent Progress in the Theory of the Euler and Navier–Stokes Equations (London Mathematical Society Lecture Note Series)
- Numerical Methods for Ordinary Differential Equations
- Exactly Solvable Models of Biological Invasion (Chapman & Hall/CRC Mathematical and Computational Biology)
Additional resources for Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming (Lecture Notes in Computational Science and Engineering)