A family of methods for the wave equation in one- and two-space dimensions

E. H. Twizell; S. I. A. Tirmizi

doi:10.1002/num.1690010203

A family of methods for the wave equation in one- and two-space dimensions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690010203 ◽

1985 ◽

Vol 1 (2) ◽

pp. 105-125 ◽

Cited By ~ 3

Author(s):

E. H. Twizell ◽

S. I. A. Tirmizi

Keyword(s):

Wave Equation ◽

Two Space Dimensions

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Approximation and Support Theorem for a Wave Equation in Two Space Dimensions

Bernoulli ◽

10.2307/3318761 ◽

2000 ◽

Vol 6 (5) ◽

pp. 887 ◽

Cited By ~ 21

Author(s):

Annie Millet ◽

Marta Sanz-Solé ◽

Marta Sanz-Sole

Keyword(s):

Wave Equation ◽

Support Theorem ◽

Two Space Dimensions

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Scattering for a critical nonlinear wave equation in two space dimensions

Mathematische Annalen ◽

10.1007/s00208-015-1282-0 ◽

2015 ◽

Vol 365 (3-4) ◽

pp. 969-985 ◽

Cited By ~ 1

Author(s):

Martin Sack ◽

Michael Struwe

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Two Space Dimensions

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Blowup of Small Data Solutions for a Quasilinear Wave Equation in Two Space Dimensions

Annals of Mathematics ◽

10.2307/121020 ◽

1999 ◽

Vol 149 (1) ◽

pp. 97 ◽

Cited By ~ 34

Author(s):

Serge Alinhac

Keyword(s):

Wave Equation ◽

Small Data ◽

Quasilinear Wave Equation ◽

Two Space Dimensions

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Radially symmetric weak solutions for a quasilinear wave equation in two space dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2005.02.004 ◽

2005 ◽

Vol 219 (2) ◽

pp. 306-322 ◽

Cited By ~ 2

Author(s):

João-Paulo Dias ◽

Hermano Frid

Keyword(s):

Wave Equation ◽

Weak Solutions ◽

Quasilinear Wave Equation ◽

Two Space Dimensions

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Global well-posedness for the nonlinear wave equation with a cubic nonlinearity in two space dimensions

Nonlinear Analysis ◽

10.1016/j.na.2015.11.017 ◽

2016 ◽

Vol 132 ◽

pp. 274-287

Author(s):

Wei Han

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Well Posedness ◽

Cubic Nonlinearity ◽

Two Space Dimensions

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ON THE CAUCHY PROBLEM FOR THE WAVE EQUATION IN TWO SPACE DIMENSIONS

The Quarterly Journal of Mathematics ◽

10.1093/qmath/16.1.9 ◽

1965 ◽

Vol 16 (1) ◽

pp. 9-12

Author(s):

H. DAVIES

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

The Cauchy Problem ◽

Two Space Dimensions

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On a stochastic wave equation in two space dimensions: regularity of the solution and its density

Stochastic Processes and their Applications ◽

10.1016/s0304-4149(99)00090-3 ◽

2000 ◽

Vol 86 (1) ◽

pp. 141-162 ◽

Cited By ~ 10

Author(s):

Annie Millet ◽

Pierre-Luc Morien

Keyword(s):

Wave Equation ◽

Stochastic Wave Equation ◽

Two Space Dimensions

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Convergence of finite difference methods for the wave equation in two space dimensions

Mathematics of Computation ◽

10.1090/mcom/3319 ◽

2018 ◽

Vol 87 (314) ◽

pp. 2737-2763 ◽

Cited By ~ 4

Author(s):

Siyang Wang ◽

Anna Nissen ◽

Gunilla Kreiss

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Methods ◽

Two Space Dimensions ◽

Difference Methods

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Scattering for a massless critical nonlinear wave equation in two space dimensions

Analysis & PDE ◽

10.2140/apde.2014.7.701 ◽

2014 ◽

Vol 7 (3) ◽

pp. 701-715 ◽

Cited By ~ 2

Author(s):

Martin Sack

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Two Space Dimensions

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Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2018072 ◽

2018 ◽

Vol 17 (4) ◽

pp. 1499-1510 ◽

Cited By ~ 5

Author(s):

Ning-An Lai ◽

◽

Yi Zhou ◽

Keyword(s):

Wave Equation ◽

Boundary Value Problem ◽

Blow Up ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Semilinear Wave Equation ◽

Two Space Dimensions ◽

Initial Boundary Value

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