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Numerical partial differential equations

Numerical partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations… Expand
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Abstract additive Schwarz methodAdditive Schwarz methodAlgorithmBDDC
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2020
Review
2020
DeepXDE: A Deep Learning Library for Solving Differential Equations
Deep learning has achieved remarkable success in diverse applications; however, its use in solving partial differential equations… Expand
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Highly Cited
2009
Highly Cited
2009
Matrix approach to discrete fractional calculus II: Partial fractional differential equations
A new method that enables easy and convenient discretization of partial differential equations with derivatives of arbitrary real… Expand
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Highly Cited
2009
Highly Cited
2009
The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
Many applications in the natural and applied sciences require the solutions of partial differential equations (PDEs) on surfaces… Expand
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Highly Cited
2008
Highly Cited
2008
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
  • T. Mathew
  • Lecture Notes in Computational Science and…
  • 2008
    • Corpus ID: 38411331
Decomposition Frameworks.- Schwarz Iterative Algorithms.- Schur Complement and Iterative Substructuring Algorithms.- Lagrange… Expand
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Highly Cited
2001
Highly Cited
2001
Solution of stochastic partial differential equations using Galerkin finite element techniques
This paper presents a framework for the construction of Galerkin approximations of elliptic boundary-value problems with… Expand
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Highly Cited
1995
Highly Cited
1995
Numerical Solution of Partial Differential Equations: An Introduction
Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields… Expand
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Highly Cited
1990
Highly Cited
1990
Composite overlapping meshes for the solution of partial differential equations
Abstract We discuss the generation of curvilinear composite overlapping grids and the numerical solution of partial differential… Expand
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Highly Cited
1988
Highly Cited
1988
Numerical solution of partial differential equations by the finite element method
Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial… Expand
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Highly Cited
1974
Highly Cited
1974
On the Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an… Expand
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Highly Cited
1966
Highly Cited
1966
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
  • K. Yee
  • 1966
    • Corpus ID: 122712881
Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points… Expand
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