Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
In this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-?? method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatia...
| Main Authors: | Radwan, H., Vignal, P., Collier, N., Dalcin, L., Santillana, M., Calo, Victor |
|---|---|
| Format: | Journal Article |
| Published: |
2012
|
| Online Access: | http://hdl.handle.net/20.500.11937/51503 |
Similar Items
Time adaptivity in the diffusive wave approximation to the shallow water equations
by: Collier, N., et al.
Published: (2013)
by: Collier, N., et al.
Published: (2013)
Diffusive wave approximation to the shallow water equations: Computational approach
by: Collier, N., et al.
Published: (2011)
by: Collier, N., et al.
Published: (2011)
An energy-stable convex splitting for the phase-field crystal equation
by: Vignal, P., et al.
Published: (2015)
by: Vignal, P., et al.
Published: (2015)
Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
by: Côrtes, A., et al.
Published: (2014)
by: Côrtes, A., et al.
Published: (2014)
Modeling phase-transitions using a high-performance, isogeometric analysis framework
by: Vignal, P., et al.
Published: (2014)
by: Vignal, P., et al.
Published: (2014)
Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration
by: Vignal, P., et al.
Published: (2015)
by: Vignal, P., et al.
Published: (2015)
PetIGA: A framework for high-performance isogeometric analysis
by: Dalcin, L., et al.
Published: (2016)
by: Dalcin, L., et al.
Published: (2016)
An energy-stable time-integrator for phase-field models
by: Vignal, P., et al.
Published: (2016)
by: Vignal, P., et al.
Published: (2016)
Numerical solution of higher order functional differential equation by collocation method via hermite polynomials
by: Muhammad, Bilal, et al.
Published: (2020)
by: Muhammad, Bilal, et al.
Published: (2020)
An energy-stable generalized-α method for the Swift-Hohenberg equation
by: Sarmiento, A., et al.
Published: (2017)
by: Sarmiento, A., et al.
Published: (2017)
Phase field modeling using petiGA
by: Vignal, P., et al.
Published: (2013)
by: Vignal, P., et al.
Published: (2013)
Gradient-based estimation of Manning's friction coefficient from noisy data
by: Calo, Victor, et al.
Published: (2013)
by: Calo, Victor, et al.
Published: (2013)
Convergence of the Variable Order
and Variable Stepsize Direct Integration Methods
for the Solution of the Higher
Order Ordinary Differential Equations
by: Suleiman, Mohamed
Published: (1985)
by: Suleiman, Mohamed
Published: (1985)
On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
by: Collier, N., et al.
Published: (2014)
by: Collier, N., et al.
Published: (2014)
Solutions Of Polynomial Equations
by: Ng , Siew Lean
Published: (2008)
by: Ng , Siew Lean
Published: (2008)
Preconditioners based on the Alternating-Direction-Implicit algorithm for the 2D steady-state diffusion equation with orthotropic heterogeneous coefficients
by: Gao, L., et al.
Published: (2015)
by: Gao, L., et al.
Published: (2015)
An energy-stable time-integrator for phase-field models
by: Vignal, P., et al.
Published: (2017)
by: Vignal, P., et al.
Published: (2017)
Matrix form of Legendre polynomials for solving linear integro-differential equations of high order
by: Kammuji, M., et al.
Published: (2016)
by: Kammuji, M., et al.
Published: (2016)
Third order convergence iterative method for multiple roots of nonlinear equation
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)
DSW Solutions Sdn Bhd - Challenges for a Small & Medium Size Enterprise (SME) it Company in the Malaysian Environment
by: Yusof, Mohar
Published: (1998)
by: Yusof, Mohar
Published: (1998)
Homotopy decomposition method for solving higher-order time-fractional diffusion equation via modified beta derivative
by: Abuasad, Salah, et al.
Published: (2018)
by: Abuasad, Salah, et al.
Published: (2018)
The cost of continuity: Performance of iterative solvers on isogeometric finite elements
by: Collier, N., et al.
Published: (2013)
by: Collier, N., et al.
Published: (2013)
On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
by: Monsi, Mansor, et al.
Published: (2013)
by: Monsi, Mansor, et al.
Published: (2013)
On Solutions of Some Polynomial-Functional Equations.
by: Bekbaev, U. D.
Published: (2002)
by: Bekbaev, U. D.
Published: (2002)
Numerical solution of fractional diffusion wave equation and fractional klein–gordon equation via two-dimensional genocchi polynomials with a ritz–galerkin method
by: Kanwal, Afshan, et al.
Published: (2018)
by: Kanwal, Afshan, et al.
Published: (2018)
A multi-point iterative method for solving nonlinear equations with optimal order of convergence
by: Nik Long, Nik Mohd Asri, et al.
Published: (2018)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2018)
Convergence of variational iteration method for solving singular partial differential equations of fractional order
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
New third order convergence iterative method for finding multiple roots of nonlinear equations
by: Jamaludin, Nur Alif Akid, et al.
Published: (2018)
by: Jamaludin, Nur Alif Akid, et al.
Published: (2018)
Numerical Solution of Second Order Delay Type Differential equation by Collocation Method via First Boubeker Polynomials
by: Bilal, Muhammad, et al.
Published: (2017)
by: Bilal, Muhammad, et al.
Published: (2017)
Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)
Micropolar nano fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)
by: Sarmiento, A., et al.
Published: (2014)
Isogeometric shell formulation based on a classical shell model
by: Niemi, A., et al.
Published: (2012)
by: Niemi, A., et al.
Published: (2012)
Micropolar fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)
by: Sarmiento, A., et al.
Published: (2014)
The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
by: Collier, N., et al.
Published: (2012)
by: Collier, N., et al.
Published: (2012)
A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem
by: Côrtes, A., et al.
Published: (2016)
by: Côrtes, A., et al.
Published: (2016)
Exponential sums for some higher degree polynomials
by: Low, Chee Wai
Published: (2018)
by: Low, Chee Wai
Published: (2018)
The complete solution to the Sylvester-polynomial-conjugate matrix equations
by: Wu, A., et al.
Published: (2011)
by: Wu, A., et al.
Published: (2011)
Dixon Resultant's Solution of Systems of Geodetic Polynomial Equations
by: Pala´ncz, B., et al.
Published: (2008)
by: Pala´ncz, B., et al.
Published: (2008)
Convergence analysis of a block improvement method for polynomial optimization over unit spheres
by: Wang, Y., et al.
Published: (2015)
by: Wang, Y., et al.
Published: (2015)
On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros
by: Monsi, Mansor, et al.
Published: (2015)
by: Monsi, Mansor, et al.
Published: (2015)
Similar Items
-
Time adaptivity in the diffusive wave approximation to the shallow water equations
by: Collier, N., et al.
Published: (2013) -
Diffusive wave approximation to the shallow water equations: Computational approach
by: Collier, N., et al.
Published: (2011) -
An energy-stable convex splitting for the phase-field crystal equation
by: Vignal, P., et al.
Published: (2015) -
Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
by: Côrtes, A., et al.
Published: (2014) -
Modeling phase-transitions using a high-performance, isogeometric analysis framework
by: Vignal, P., et al.
Published: (2014)