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
Main Authors:	Iavernaro, Felice, Brugnano, Luigi
Format:	Online
Language:	English
Published:	MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:	QA1-939 Q1-390 structured matrices numerical methods time fractional differential equations hierarchical splines finite difference methods null-space highly oscillatory problems stochastic Volterra integral equations displacement rank constrained Hamiltonian problems hyperbolic partial differential equations higher-order finite element methods continuous geometric average spectral (eigenvalue) and singular value distributions generalized locally Toeplitz sequences Volterra integro–differential equations 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 curl–curl operator conservative problems line integral methods stochastic multistep methods Hamiltonian Boundary Value Methods limited memory boundary element method convergence analytical solution preconditioners asymptotic stability collocation methods histogram specification local refinement Runge–Kutta 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 Hermite–Obreshkov methods generalized Schur algorithm Galerkin method symplecticity high performance computing isogeometric analysis discretization of systems of differential equations bic Book Industry Communication::P Mathematics & science
Online Access:	33693
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Advanced Numerical Methods in Applied Sciences

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