Finite Volume Methods: Theorems, Proofs, and Python Implementations (Computational Mathematics Library)
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| Management number | 219446350 | Release Date | 2026/05/03 | List Price | $60.00 | Model Number | 219446350 | ||
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Master conservation-law discretization from first-order upwind to high-order WENO reconstruction with this graduate-level reference that unifies rigorous mathematics and fully executable Python code. Spanning 24 tightly written chapters, the book delivers:⢠Conservation Laws and Weak Solutions: BV theory, entropy conditions, RankineâHugoniot jumps⢠High-Resolution Schemes: Godunov flux, TVD limiters, WENO and MUSCL reconstructions⢠Riemann Solvers: Roe, HLL, AUSM with entropy compliance and positivity proofs⢠NavierâStokes Applications: Projection methods for incompressible flow and shock-capturing for compressible regimes⢠Unstructured and Curvilinear Grids: Geometric conservation, median-dual formulations, cubed-sphere examples⢠Adaptive Mesh Refinement and Multilevel Solvers: Hanging nodes, conservative prolongation, elliptic multigrid⢠Implicit NewtonâKrylov and Parallel Algorithms: Jacobian-free GMRES, domain decomposition scalability⢠Uncertainty Quantification: Polynomial chaos, multilevel Monte Carlo, mean-square stability analysis Read more
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