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Publication Date1998, Stability and control, ISBN 9056991078, Volume 6, xv, 418
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AIP Conference Proceedings, ISSN 0094-243X, 07/2019, Volume 2116, Issue 1
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 07/2018, Volume 1978, Issue 1
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 07/2017, Volume 1863, Issue 1
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Loading Rights2019, ISBN 3038976679
The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable...
structured matrices | curl | numerical methods | time fractional differential equations | hierarchical splines | finite difference methods | null-space | highly oscillatory problems | stochastic Volterra integral equations | differential equations | displacement rank | constrained Hamiltonian problems | Hermite | hyperbolic partial differential equations | higher-order finite element methods | continuous geometric average | Volterra integro | spectral (eigenvalue) and singular value distributions | generalized locally Toeplitz sequences | Obreshkov methods | B-spline | discontinuous Galerkin methods | adaptive methods | Cholesky factorization | energy-conserving methods | order | collocation method | Poisson problems | time harmonic Maxwell’s equations and magnetostatic problems | tree | multistep methods | stochastic differential equations | optimal basis | finite difference method | elementary differential | gradient system | Runge | conservative problems | line integral methods | stochastic multistep methods | Hamiltonian Boundary Value Methods | Kutta | limited memory | boundary element method | convergence | analytical solution | preconditioners | asymptotic stability | collocation methods | histogram specification | local refinement | edge-preserving smoothing | numerical analysis | THB-splines | BS methods | barrier options | stump | shock waves and discontinuities | mean-square stability | Volterra integral equations | high order discontinuous Galerkin finite element schemes | B-splines | vectorization and parallelization | initial value problems | one-step methods | scientific computing | fractional derivative | linear systems | Hamiltonian problems | low rank completion | ordinary differential equations | mixed-index problems | edge-histogram | Hamiltonian PDEs | matrix ODEs | HBVMs | floating strike Asian options | generalized Schur algorithm | Galerkin method | symplecticity | high performance computing | isogeometric analysis | discretization of systems of differential equations | curl operator
structured matrices | curl | numerical methods | time fractional differential equations | hierarchical splines | finite difference methods | null-space | highly oscillatory problems | stochastic Volterra integral equations | differential equations | displacement rank | constrained Hamiltonian problems | Hermite | hyperbolic partial differential equations | higher-order finite element methods | continuous geometric average | Volterra integro | spectral (eigenvalue) and singular value distributions | generalized locally Toeplitz sequences | Obreshkov methods | B-spline | discontinuous Galerkin methods | adaptive methods | Cholesky factorization | energy-conserving methods | order | collocation method | Poisson problems | time harmonic Maxwell’s equations and magnetostatic problems | tree | multistep methods | stochastic differential equations | optimal basis | finite difference method | elementary differential | gradient system | Runge | conservative problems | line integral methods | stochastic multistep methods | Hamiltonian Boundary Value Methods | Kutta | limited memory | boundary element method | convergence | analytical solution | preconditioners | asymptotic stability | collocation methods | histogram specification | local refinement | edge-preserving smoothing | numerical analysis | THB-splines | BS methods | barrier options | stump | shock waves and discontinuities | mean-square stability | Volterra integral equations | high order discontinuous Galerkin finite element schemes | B-splines | vectorization and parallelization | initial value problems | one-step methods | scientific computing | fractional derivative | linear systems | Hamiltonian problems | low rank completion | ordinary differential equations | mixed-index problems | edge-histogram | Hamiltonian PDEs | matrix ODEs | HBVMs | floating strike Asian options | generalized Schur algorithm | Galerkin method | symplecticity | high performance computing | isogeometric analysis | discretization of systems of differential equations | curl operator
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Loading RightsNumerical Methods for Partial Differential Equations, ISSN 0749-159X, 07/2019, Volume 35, Issue 4, pp. 1343 - 1362
In this paper we study the geometric numerical solution of the so called “good” Boussinesq equation. This goal is achieved by using a convenient space...
spectral methods | Hamiltonian PDEs | energy‐conserving methods | blended iteration | “good” Boussinesq equation | Hamiltonian boundary value methods | energy-conserving methods | Runge-Kutta method | Boussinesq equations | Time integration | Numerical methods
spectral methods | Hamiltonian PDEs | energy‐conserving methods | blended iteration | “good” Boussinesq equation | Hamiltonian boundary value methods | energy-conserving methods | Runge-Kutta method | Boussinesq equations | Time integration | Numerical methods
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Loading RightsAxioms, ISSN 2075-1680, 06/2018, Volume 7, Issue 2, p. 36
In recent years, the numerical solution of differential problems, possessing constants of motion, has been attacked by imposing the vanishing of a...
Poisson problems | Highly oscillatory problems | Energy-conserving methods | Hamiltonian PDEs | Conservative problems | HBVMs | Constrained Hamiltonian problems | Hamiltonian problems | Line integral methods | Hamiltonian boundary value methods | Problems | Numerical analysis | Algebra | Partial differential equations | Energy | Integrals | Ordinary differential equations | Methods | constrained Hamiltonian problems | conservative problems | line integral methods | highly oscillatory problems | Hamiltonian Boundary Value Methods | energy-conserving methods
Poisson problems | Highly oscillatory problems | Energy-conserving methods | Hamiltonian PDEs | Conservative problems | HBVMs | Constrained Hamiltonian problems | Hamiltonian problems | Line integral methods | Hamiltonian boundary value methods | Problems | Numerical analysis | Algebra | Partial differential equations | Energy | Integrals | Ordinary differential equations | Methods | constrained Hamiltonian problems | conservative problems | line integral methods | highly oscillatory problems | Hamiltonian Boundary Value Methods | energy-conserving methods
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 06/2016, Volume 1738, Issue 1
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 06/2016, Volume 1738, Issue 1
We sketch out the use of the line integral as a tool to devise numerical methods suitable for conservative and, in particular, Hamiltonian problems. The...
multiple invariants | Conservative problems | Geometric integrators | HBVMs | Line Integral Methods | Hamiltonian problems | Hamiltonian Boundary Value Methods | energy-conserving methods | Integrals | Numerical methods
multiple invariants | Conservative problems | Geometric integrators | HBVMs | Line Integral Methods | Hamiltonian problems | Hamiltonian Boundary Value Methods | energy-conserving methods | Integrals | Numerical methods
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Loading RightsSIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2012, Volume 50, Issue 6, pp. 2897 - 2916
We introduce a new family of symplectic integrators for canonical Hamiltonian systems. Each method in the family depends on a real parameter α. When α = 0 we...
State vectors | Numerical integration | Energy conservation | Energy value | Mathematical independent variables | Polynomials | Textual collocation | Mathematics | Hamiltonian functions | Runge Kutta method | Hamiltonian systems | Collocation Runge-Kutta methods | Energy-preserving methods | Symplectic integrators | MATHEMATICS, APPLIED | symplectic integrators | energy-preserving methods | NONLINEAR DYNAMICS | HAMILTONIAN-SYSTEMS | collocation Runge-Kutta methods | Integrators | Mathematical models | Numerical analysis | Collocation | Perturbation methods
State vectors | Numerical integration | Energy conservation | Energy value | Mathematical independent variables | Polynomials | Textual collocation | Mathematics | Hamiltonian functions | Runge Kutta method | Hamiltonian systems | Collocation Runge-Kutta methods | Energy-preserving methods | Symplectic integrators | MATHEMATICS, APPLIED | symplectic integrators | energy-preserving methods | NONLINEAR DYNAMICS | HAMILTONIAN-SYSTEMS | collocation Runge-Kutta methods | Integrators | Mathematical models | Numerical analysis | Collocation | Perturbation methods
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 07/2018, Volume 1978
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Loading RightsJournal of Computational Physics, ISSN 0021-9991, 11/2019, Volume 396, pp. 209 - 227
In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within...
Plasma physics | Line Integral Methods | Charged particle dynamics | Lorentz force system | Energy-conserving methods | Hamiltonian Boundary Value Methods | INVARIANTS | IMPLEMENTATION | PHYSICS, MATHEMATICAL | IMPLICIT METHODS | BOUNDARY-VALUE METHODS | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GAUSS COLLOCATION | CONSERVATION | HBVMS | SYSTEMS | SCHEMES | Analysis | Methods | Runge-Kutta method | Computer simulation | Charged particles | Integrals | Mathematics - Numerical Analysis
Plasma physics | Line Integral Methods | Charged particle dynamics | Lorentz force system | Energy-conserving methods | Hamiltonian Boundary Value Methods | INVARIANTS | IMPLEMENTATION | PHYSICS, MATHEMATICAL | IMPLICIT METHODS | BOUNDARY-VALUE METHODS | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GAUSS COLLOCATION | CONSERVATION | HBVMS | SYSTEMS | SCHEMES | Analysis | Methods | Runge-Kutta method | Computer simulation | Charged particles | Integrals | Mathematics - Numerical Analysis
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 07/2019, Volume 2116, Issue 1
In this note, we extend a technique recently used to devise a novel class of geometric integrators named Hamil-tonian Boundary Value Methods, to cope with...
Nonlinear equations | Boundary value problems | Integrators | Fields (mathematics) | Differential equations
Nonlinear equations | Boundary value problems | Integrators | Fields (mathematics) | Differential equations
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Loading RightsNumerical Algorithms, ISSN 1017-1398, 2019
Numerical Algorithms (2019) Recently, the numerical solution of stiffly/highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary...
Legendre polynomials | Spectral methods | HBVMs | SHBVMs | Hamiltonian boundary value methods | Mathematics - Numerical Analysis
Legendre polynomials | Spectral methods | HBVMs | SHBVMs | Hamiltonian boundary value methods | Mathematics - Numerical Analysis
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Loading RightsAxioms, ISSN 2075-1680, 01/2019, Volume 8, Issue 1, p. 16
The use of scientific computing tools is, nowadays, customary for solving problems in Applied Sciences at several levels of complexity. The great need for...
scientific computing | numerical methods | numerical analysis
scientific computing | numerical methods | numerical analysis
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Loading RightsAIP Conference Proceedings, ISSN 0094-243X, 07/2017, Volume 1863
Conference Proceeding
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Loading Rights2016, Monographs and research notes in mathematics, ISBN 9781482263848
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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2012, Volume 236, Issue 16, pp. 3855 - 3856
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Loading RightsJournal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2012, Volume 236, Issue 16, pp. 3855 - 3856
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Iterative solution of piecewise linear systems and applications to flows in porous media
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2009, Volume 31, Issue 3, pp. 1858 - 1873
The correct numerical modeling of free-surface hydrodynamic problems often requires to have the solution of special linear systems whose coefficient matrix is...
Conflnod-unconfined aquifers | Free-surface hydrodynamics | Piecewise linear systems | Flows in porous media | Wotting and drying | COMPLEMENTARITY-PROBLEMS | MATHEMATICS, APPLIED | AQUIFER | free-surface hydrodynamics | wetting and drying | EQUATIONS | piecewise linear systems | confined-unconfined aquifers | flows in porous media | Computational fluid dynamics
Conflnod-unconfined aquifers | Free-surface hydrodynamics | Piecewise linear systems | Flows in porous media | Wotting and drying | COMPLEMENTARITY-PROBLEMS | MATHEMATICS, APPLIED | AQUIFER | free-surface hydrodynamics | wetting and drying | EQUATIONS | piecewise linear systems | confined-unconfined aquifers | flows in porous media | Computational fluid dynamics
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