Chapter 6 Kinetic formulations of parabolic and hyperbolic PDEs: From theory to numerics

Handbook of Differential Equations: Evolutionary Equations ◽

10.1016/s1874-5717(04)80008-2 ◽

2002 ◽

pp. 437-471 ◽

Author(s):

Benoît Perthame

Keyword(s):

Hyperbolic Pdes

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Tailoring High Order Time Discretizations for Use with Spatial Discretizations of Hyperbolic PDEs

10.21236/ada627006 ◽

2015 ◽

Author(s):

Sigal Gottlieb

Keyword(s):

Hyperbolic Pdes ◽

High Order Time

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Multiresolution based adaptive schemes for second order hyperbolic PDEs in elastodynamic problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.09.004 ◽

2013 ◽

Vol 37 (12-13) ◽

pp. 7095-7127 ◽

Author(s):

Hassan Yousefi ◽

Asadollah Noorzad ◽

Jamshid Farjoodi

Keyword(s):

Second Order ◽

Hyperbolic Pdes ◽

Adaptive Schemes

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Adaptive Regulation- Triggered Control of Hyperbolic PDEs by Batch Least-Squares

2021 American Control Conference (ACC) ◽

10.23919/acc50511.2021.9483396 ◽

2021 ◽

Author(s):

Ji Wang ◽

Miroslav Krstic ◽

Iasson Karafyllis

Keyword(s):

Least Squares ◽

Hyperbolic Pdes ◽

Adaptive Regulation

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Exponential stabilization of a class of 1-D hyperbolic PDEs

Journal of Evolution Equations ◽

10.1007/s00028-015-0317-z ◽

2016 ◽

Vol 16 (3) ◽

pp. 665-679 ◽

Author(s):

Abdelhadi Elharfi

Keyword(s):

Exponential Stabilization ◽

Hyperbolic Pdes

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Automatic Generation of Wave Digital Structures for Numerically Integrating Linear Symmetric Hyperbolic PDEs

Multidimensional Systems and Signal Processing ◽

10.1007/s11045-005-4125-4 ◽

2005 ◽

Vol 16 (4) ◽

pp. 369-396 ◽

Author(s):

Michael Vollmer

Keyword(s):

Automatic Generation ◽

Hyperbolic Pdes

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Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.08.018 ◽

2018 ◽

Vol 457 (1) ◽

pp. 751-775 ◽

Author(s):

Qigui Yang ◽

Qiaomin Xiang

Keyword(s):

Boundary Conditions ◽

Second Order ◽

Chaotic Oscillations ◽

Hyperbolic Pdes ◽

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Minimum Time Disturbance Rejection and Tracking Control of $n+m$ Linear Hyperbolic PDEs

2018 Annual American Control Conference (ACC) ◽

10.23919/acc.2018.8430998 ◽

2018 ◽

Author(s):

Henrik Anfinsen ◽

Ole Morten Aamo

Keyword(s):

Disturbance Rejection ◽

Tracking Control ◽

Minimum Time ◽

Hyperbolic Pdes

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Identification of unknown sinusoids in 2 × 2 linear hyperbolic PDEs

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7798714 ◽

2016 ◽

Author(s):

Henrik Anfinsen ◽

Timm Strecker ◽

Ole Morten Aamo

Keyword(s):

Hyperbolic Pdes

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Chapter 9: First-Order Hyperbolic PDEs and Delay Equations

Boundary Control of PDEs ◽

10.1137/1.9780898718607.ch9 ◽

2008 ◽

pp. 109-114

Keyword(s):

Delay Equations ◽

Hyperbolic Pdes ◽

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Finite Difference Methods for Hyperbolic PDEs

Numerical Solutions for Partial Differential Equations ◽

10.1201/9780203745311-2 ◽

2017 ◽

pp. 9-154

Author(s):

Victor G. Ganzha ◽

Evgenii V. Vorozhtsov

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Hyperbolic Pdes ◽

Difference Methods

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