Theory and Practice of Finite Elements
This book presents the mathematical theory of finite elements, starting from basic results on approximation theory and finite element interpolation and building up to more recent research topics, such as and Discontinuous Galerkin, subgrid viscosity
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Springer Science+Business Media, LLC
Applied Mathematical Sciences I. John: Partial Differential Equations, 4th ed. 2. Sirovich: Teclmiques of Asymptotic Analysis. 3. Hale: Theory of Functional Differential Equations, 2nded. 4. Percus: Combinatorial Methods. 5. von Mises!Friedrichs: Fluid Dynamics. 6. Freiberger!Grenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacaglia: Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. II. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. Bluman/Cole: Similarity Methods for Differential Equations. 14. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications, 3rd ed. 16. Lefschetz: Applications of Algebraic Topology. 17. Collatz!Wetterling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol. I. 19. Marsden/McCracken: Hopf Bifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/Friedrichs: Supersonic Flow and Shock Waves. 22. Rouche/Habets/Laloy: Stability Theory by Liapunov's Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grenander: Pattern Analysis: Lectures in Pattern Theory, Vol. II. 25. Davies: Integral Transforms and Their Applications, 2nd ed. 26. Kushner!Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. 27. de Boor: A Practical Guide to Splines: Revised Edition. 28. Keilson: Markov Chain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Sniatycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. Meis!Markowitz: Numerical Solution of Partial Differential Equations.
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Grenander: Regular Structures: Lectures in Pattern Theory, Vol. III. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. Carr: Applications of Centre Manifold Theory. Bengtsson/Ghil/Kiilltin: Dynamic Meteorology: Data Assimilation Methods. Saperstone: Semidynamical Systems in Infirtite Dimensional Spaces. Lichtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed. Piccini!Stampacchia!Vidossich: Ordinary Differential Equations in R•. Naylor/Sell: Linear Operator Theory in Engineering and Science. Sparrow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. Guckenheimer!Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Ockendon/Taylor: Inviscid Fluid Flows. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations. Glashojj7Gustafson: Linear Operations and Approximation: An Introduction to the Theoretical Analysis and Numerical Treat
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