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Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

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Cover of 'Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Numerical Homogenization Methods for Parabolic Monotone Problems
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    Chapter 2 Virtual Element Implementation for General Elliptic Equations
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    Chapter 3 On Quasi-Interpolation Operators in Spline Spaces
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    Chapter 4 Stabilised Finite Element Methods for Ill-Posed Problems with Conditional Stability
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    Chapter 5 Static Condensation, Hybridization, and the Devising of the HDG Methods
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    Chapter 6 Robust DPG Methods for Transient Convection-Diffusion
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    Chapter 7 A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods
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    Chapter 8 A Survey of Trefftz Methods for the Helmholtz Equation
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    Chapter 9 Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains
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    Chapter 10 Discretization of Mixed Formulations of Elliptic Problems on Polyhedral Meshes
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    Chapter 11 Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors
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    Chapter 12 Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods
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    Chapter 13 Foundations of the MHM Method
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    Chapter 14 Erratum to: A Survey of Trefftz Methods for the Helmholtz Equation
Attention for Chapter 8: A Survey of Trefftz Methods for the Helmholtz Equation
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