DOI10.1137/0518035zbMath0619.35017OpenAlexW1990124464MaRDI QIDQ3755834
Pham Ngoc Dinh, Alain, Eduardo L. Ortiz
Publication date: 1987
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0518035
On the nonlinear wave equation \(u_{tt}-B(t,\|u\|^2, \|u_{x}\|^2, \|u_t\|^2)u_{xx}= f(x,t,u,u_x,u_t,\|u\|^2,\|u_x\|^2,\|u_t\|^2)\) associated with mixed homogeneous conditions.,
Towards a Lanczos' \(\tau \)-method toolkit for differential problems,
Spectral Lanczos’ Tau Method for Systems of Nonlinear Integro-Differential Equations,
The algebraic kernel method for the numerical solution of partial differential equations,
Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method,
On a nonlinear wave equation associated with Dirichlet conditions: solvability and asymptotic expansion of solutions in many small parameters,
On the nonlinear wave equation \(u_{tt}-B(\|u_{x} {\|}^{2})u_{xx}\) = \(f(x,t,u,u_{x},u_{t},{\|}u_{x}{\|}^{2})\) associated with the mixed homogeneous conditions,
A Tau method based on non-uniform space-time elements for the numerical simulation of solitons,
Some remarks on structural relations between the tau method and the finite element method,
Dealing with functional coefficients within tau method,
On the nonlinear wave equation \(u_{tt}-B(t,\| u \|^2, \| u_x\|^2)u_{xx}=f(x,t,u,u_x,u_t,\| u\|^2,\| u_x\|^2)\) associated with the mixed homogeneous conditions,
Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator,
On the nonlinear wave equation with the mixed nonhomogeneous conditions: linear approximation and asymptotic expansion of solutions,
An n-order iterative scheme for a nonlinear wave equation containing a nonlocal term,
High-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed homogeneous conditions,
A high order iterative scheme for a nonlinear Kirchhoff wave equation in the unit membrane,
On the nonlinear wave equation \(U_{tt}-B(t,\| U_{x}\|^{2})U_{xx}=f(x,t,U,U_{x},U_{t},\| U_{x}\|^{2})\) associated with the mixed nonhomogeneous conditions,
Mixed problem for some semi-linear wave equation with a nonhomogeneous condition,
Unnamed Item,
The \(n\)-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed inhomogeneous conditions,
Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation,
On the nonlinear wave equation \(u_{tt}-B(t,\|u_{x}\|^{2})u_{xx} = f(x,t,u,u_{x},u_{t})\) associated with the mixed homogeneous conditions,
Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method,
Linear recursive schemes associated with the nonlinear wave equation involving Bessel's operator,
A recursive formulation of Galerkin's method in terms of the tau method: Bounded and unbounded domains,
Numerical treatment of moving and free boundary value problems with the tau method
