A pipeline for high precision partial differential equation computation

A pipeline for high precision partial differential equation computation

<p>In this thesis, we investigate the application of the cubature on Wiener space method(also known as the Kusuoka-Lyons-Victoir algorithm) to solving parabolic type lin-ear partial differential equation problems. The framework for the cubature methodwas first developed in the seminal...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолч:	Pan, W
Бусад зохиолчид:	Lyons, T
Формат:	Дипломын ажил
Хэл сонгох:	English
Хэвлэсэн:	2021
Нөхцлүүд:	Differential equations, Partial > Numerical solutions Stochastic differential equations > Numerical solutions

Ижил төстэй зүйлс

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Multistep block methods for solving higher order delay differential equations
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One-step block methods for solving ordinary and delay differential equations
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Block backward differentiation methods for single delay differential equations
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Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
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Хэвлэсэн: (2020)

Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications
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Two-point block backward differentiation formula for solving higher order ordinary differential equations
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Block hybrid methods for numerical treatment of differential equations with applications
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Diagonal R-point variable step variable order block method for solving second order ordinary differential equations
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Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods
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Numerical methods for solving first and second order fuzzy differential equations
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Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
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Хэвлэсэн: (2011)

Block backward differentiation formulas for solving first and second order fuzzy differential equations
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Direct two-point block methods for solving nonstiff higher order Ordinary Differential Equations using Backward Difference formulation
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Hybrid methods for solving higher order ordinary differential equations
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Coupled block method for solving ordinary and delay differential equations
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Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
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Хэвлэсэн: (2021)

Diagonally implicit two point block backward differentiation formulas for solving stiff ordinary differential equations and fuzzy differential equations
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Хэвлэсэн: (2014)

Second derivative block methods for solving first and higher order ordinary differential equations
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Хэвлэсэн: (2018)

Block multistep methods for solving first order retarded and neutral delay differential equations
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Хэвлэсэн: (2015)

Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
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Хэвлэсэн: (2019)

Direct one-step block methods for solving general second order non-stiff ordinary differential equations
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Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
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Methods for the numerical solution of partial differential equations
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Block one-step methods for solving stiff differential equations
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Хэвлэсэн: (2014)

Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations
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Хэвлэсэн: (2021)

DWNN: Deep Wavelet Neural Network for Solving Partial Differential Equations
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Хэвлэсэн: (2022-06-01)

Stochastic ordinary and stochastic partial differential equations : transition from microscopic to macroscopic equations /
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Хэвлэсэн: (2008)

Application of dm methods for problems with partial differential equations
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Хэвлэсэн: (2002-12-01)

Block methods based on Newton interpolation for solving special second order ordinary differential equations directly
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Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods
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Numerical time-dependent Partial differential equations for scientists and engineers /
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Numerical solution of newton´s cooling differential equation by the methods of euler and runge-kutta
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Stochastic partial differential equations /
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Stochastic partial differential equations /
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New Numerical Approach of Solving Highly Nonlinear Fractional Partial Differential Equations via Fractional Novel Analytical Method
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Хэвлэсэн: (2022-09-01)