Rigorous numerics for the Pekeris problem

Richard B. Evans

doi:10.1121/10.0009201

The Conley Index and Rigorous Numerics for Attracting Periodic Orbits

Variational and Topological Methods in the Study of Nonlinear Phenomena ◽

10.1007/978-1-4612-0081-9_5 ◽

2002 ◽

pp. 65-74 ◽

Cited By ~ 2

Author(s):

M. Mrozek ◽

P. Pilarczyk

Keyword(s):

Periodic Orbits ◽

Conley Index ◽

Rigorous Numerics

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Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112607 ◽

2020 ◽

Vol 374 ◽

pp. 112607 ◽

Cited By ~ 1

Author(s):

Kaname Matsue ◽

Akitoshi Takayasu

Keyword(s):

Blow Up ◽

Rigorous Numerics ◽

Exponential Nonlinearity

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Introduction to rigorous numerics in dynamics: General functional analytic setup and an example that forces chaos

Rigorous Numerics in Dynamics - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/074/01 ◽

2018 ◽

pp. 1-25 ◽

Cited By ~ 1

Author(s):

Jan van den Berg

Keyword(s):

Rigorous Numerics

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Rigorous numerics for critical orbits in the quadratic family

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0012822 ◽

2020 ◽

Vol 30 (7) ◽

pp. 073143

Author(s):

A. Golmakani ◽

C. E. Koudjinan ◽

S. Luzzatto ◽

P. Pilarczyk

Keyword(s):

Rigorous Numerics ◽

Quadratic Family

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Rigorous numerics for stationary solutions of dissipative PDEs - Existence and local dynamics -

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.4.62 ◽

2013 ◽

Vol 4 (1) ◽

pp. 62-79 ◽

Cited By ~ 4

Author(s):

Kaname Matsue

Keyword(s):

Stationary Solutions ◽

Rigorous Numerics ◽

Local Dynamics

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Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach

Mathematics of Computation ◽

10.1090/mcom/3046 ◽

2015 ◽

Vol 85 (299) ◽

pp. 1427-1459 ◽

Cited By ~ 34

Author(s):

Allan Hungria ◽

Jean-Philippe Lessard ◽

J. D. Mireles James

Keyword(s):

Differential Equations ◽

Analytic Solutions ◽

Rigorous Numerics

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Rigorous Numerics for Dissipative Partial Differential Equations II. Periodic Orbit for the Kuramoto?Sivashinsky PDE?A Computer-Assisted Proof

Foundations of Computational Mathematics ◽

10.1007/s10208-002-0080-8 ◽

2004 ◽

Vol 4 (2) ◽

pp. 157-185 ◽

Cited By ~ 29

Author(s):

Piotr Zgliczynski

Keyword(s):

Partial Differential Equations ◽

Periodic Orbit ◽

Differential Equations ◽

Computer Assisted ◽

Partial Differential ◽

Rigorous Numerics ◽

Computer Assisted Proof ◽

Dissipative Partial Differential Equations

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Rigorous numerics for nonlinear operators with tridiagonal dominant linear part

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2015.35.4765 ◽

2015 ◽

Vol 35 (10) ◽

pp. 4765-4789 ◽

Cited By ~ 1

Author(s):

Maxime Breden ◽

◽

Laurent Desvillettes ◽

Jean-Philippe Lessard ◽

Keyword(s):

Linear Part ◽

Rigorous Numerics ◽

Nonlinear Operators

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Continuation of solutions and studying delay differential equations via rigorous numerics

Rigorous Numerics in Dynamics - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/074/00637 ◽

2018 ◽

pp. 81-122 ◽

Cited By ~ 2

Author(s):

Jean-Philippe Lessard

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Rigorous Numerics ◽

Delay Differential

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Eigenvalues and delay differential equations: periodic coefficients, impulses and rigorous numerics

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-020-09900-0 ◽

2020 ◽

Cited By ~ 1

Author(s):

Kevin E. M. Church

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Rigorous Numerics ◽

Periodic Coefficients ◽

Delay Differential

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