A Symbolic Framework for Operations on Linear Boundary Problems (original) (raw)

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases

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An algebraic foundation for factoring linear boundary problems

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A New Symbolic Method for Linear Boundary Value Problems Using Groebner Bases

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Solving and factoring boundary problems for linear ordinary differential equations in differential algebras

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Symbolic Algorithm to Solve Initial Value Problems for Partial Differential Equations

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Maple Implementation of A Symbolic Method for Fully Inhomogeneous Boundary Value Problems

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A Unified Approach to Boundary Value Problems

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Regular and Singular Boundary Problems in Maple

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Lecture Notes in Computer Science, 2011

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A General Symbolic PDE Solver Generator: Beyond Explicit Schemes

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Scientific Programming, 2003

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A General Symbolic PDE Solver Generator: Explicit Schemes

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The homotopy operator method for symbolic integration by parts and inversion of divergences with applications

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Solving Linear Boundary Value Problems via Non-Commutative

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On the extraction technique in boundary integral equations

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A symbolic algorithm for computing recursion operators of nonlinear partial differential equations

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A Symbolic Algorithm for Solving Two-Point BVPs on the Operator Level

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Symbolic calculus for boundary value problems on manifolds with edges

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Integral Equations and Operator Theory, 2003

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Solving Linear Boundary Value Problems Via Non-commutative Gr�bner Bases

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Solving Linear Boundary Value Problems Via Non-commutative Gröbner Bases

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Solving systems of linear differential equations over integro-differential algebras

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Continuous and discrete homotopy operators and the computation of conservation laws

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A Hybrid Symbolic-Numerical Simulation Method for Some Typical Boundary Control Problems

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On Symbolic Approaches to Integro-Differential Equations

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Boundary Integral Equations - A Personal View

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Generalizing Bagarello's operator approach to solve a class of partial differential equations

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arXiv: Mathematical Physics, 2015

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Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions

Willy A Hereman

2006

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Obstacles to the Factorization of Linear Partial Differential Operators into Several Factors

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The Symbolic Integration of Exact PDEs

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Study of differential operators in the context of the semi-analytical wall boundary conditions

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Theory and Application of Steklov-Poincaré Operators for Boundary-Value Problems

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