Advanced Numerical Methods in Applied Sciences

Advanced Numerical Methods in Applied Sciences

The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to g...

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Bibliographic Details
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:
adaptive methods
analytical solution
asymptotic stability
B-spline
B-splines
barrier options
boundary element method
BS methods
Cholesky factorization
collocation method
collocation methods
conservative problems
constrained Hamiltonian problems
continuous geometric average
convergence
curl-curl operator
discontinuous Galerkin methods
discretization of systems of differential equations
displacement rank
edge-histogram
edge-preserving smoothing
elementary differential
energy-conserving methods
finite difference method
finite difference methods
floating strike Asian options
fractional derivative
Galerkin method
generalized locally Toeplitz sequences
generalized Schur algorithm
gradient system
Hamiltonian Boundary Value Methods
Hamiltonian PDEs
Hamiltonian problems
HBVMs
Hermite-Obreshkov methods
hierarchical splines
high order discontinuous Galerkin finite element schemes
high performance computing
higher-order finite element methods
highly oscillatory problems
histogram specification
hyperbolic partial differential equations
initial value problems
isogeometric analysis
limited memory
line integral methods
linear systems
local refinement
low rank completion
matrix ODEs
mean-square stability
mixed-index problems
multistep methods
null-space
numerical analysis
numerical methods
one-step methods
optimal basis
order
ordinary differential equations
Poisson problems
preconditioners
Runge-Kutta
scientific computing
shock waves and discontinuities
spectral (eigenvalue) and singular value distributions
stochastic differential equations
stochastic multistep methods
stochastic Volterra integral equations
structured matrices
stump
symplecticity
THB-splines
time fractional differential equations
time harmonic Maxwell's equations and magnetostatic problems
tree
vectorization and parallelization
Volterra integral equations
Volterra integro-differential equations
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