Search Results - "Schneider, Reinhold"

Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations by Bachmayr, Markus, Schneider, Reinhold, Uschmajew, André

“…Hierarchical tensors can be regarded as a generalisation, preserving many crucial features, of the singular value decomposition to higher-order tensors. For a…”
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On the microstructural characteristics influencing the yielding behavior of ultra-fine grained medium-Mn steels by Steineder, Katharina, Krizan, Daniel, Schneider, Reinhold, Béal, Coline, Sommitsch, Christof

“…This paper systematically investigated the influence of microstructural characteristics such as grain size and morphology on the yielding behavior of a cold…”
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Approximating the Stationary Bellman Equation by Hierarchical Tensor Products by Mathias Oster, Mathias Oster, Leon Sallandt, Leon Sallandt, Reinhold Schneider, Reinhold Schneider

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A Theoretical Analysis of Deep Neural Networks and Parametric PDEs by Kutyniok, Gitta, Petersen, Philipp, Raslan, Mones, Schneider, Reinhold

“…We derive upper bounds on the complexity of ReLU neural networks approximating the solution maps of parametric partial differential equations. In particular,…”
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Tensor product methods and entanglement optimization for ab initio quantum chemistry by Szalay, Szilárd, Pfeffer, Max, Murg, Valentin, Barcza, Gergely, Verstraete, Frank, Schneider, Reinhold, Legeza, Örs

“…The treatment of high‐dimensional problems such as the Schrödinger equation can be approached by concepts of tensor product approximation. We present general…”
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The 5th International High Manganese Steel Conference by Krizan, Daniel, S. E. Schneider, Reinhold

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Effect of the Al2O3 Content in the Slag on the Chemical Reactions and Nonmetallic Inclusions during Electroslag Remelting by Schneider, Reinhold S. E., Molnar, Manuel, Klösch, Gerald, Schüller, Christopher

“…The service life of roller bearings is extremely sensitive to large and hard nonmetallic inclusions (NMIs), requesting the highest standards in their…”
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On the low-rank approximation by the pivoted Cholesky decomposition by Harbrecht, Helmut, Peters, Michael, Schneider, Reinhold

“…The present paper is dedicated to the application of the pivoted Cholesky decomposition to compute low-rank approximations of dense, positive semi-definite…”
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Effect of the Al2O3 Content in the Slag on the Remelting Behavior of a Bearing Steel by Schneider, Reinhold S. E., Molnar, Manuel, Klösch, Gerald, Schüller, Christopher, Fasching, Josef

“…The service life of roller bearings strongly depends on nonmetallic inclusions (NMIs). Therefore, these steels request highest metallurgical standards in their…”
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New Ms-formula for exact microstructural prediction of modern 3rd generation AHSS chemistries by Kaar, Simone, Steineder, Katharina, Schneider, Reinhold, Krizan, Daniel, Sommitsch, Christof

“…The exact adjustment of the individual microstructural constituents, in particular the optimum volume fraction of metastable retained austenite (RA), is…”
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Effect of Different Remelting Parameters on Slag Temperature and Energy Consumption during ESR by Schneider, Reinhold, Wiesinger, Valentin, Gelder, Siegfried, Mitchell, Alec, David, Daniel

“…Energy consumption is a vital aspect in the production of high quality materials by using electro slag remelting as a refining method. The electrical…”
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Effect of the Slag Composition and a Protective Atmosphere on Chemical Reactions and Non‐Metallic Inclusions during Electro‐Slag Remelting of a Hot‐Work Tool Steel by Schneider, Reinhold S.E., Molnar, Manuel, Gelder, Siegfried, Reiter, Gerhard, Martinez, Carlos

“…The remelting behavior of the hot‐work tool steel X37CrMoV5‐1 is investigated with several experimental melts on a lab‐scale ESR‐plant. The investigated…”
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A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression by Götte, Michael, Schneider, Reinhold, Trunschke, Philipp

“…Low-rank tensors are an established framework for the parametrization of multivariate polynomials. We propose to extend this framework by including the concept…”
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Influence of the Quenching and Partitioning Process on the Transformation Kinetics and Hardness in a Lean Medium Manganese TRIP Steel by Kaar, Simone, Schneider, Reinhold, Krizan, Daniel, Béal, Coline, Sommitsch, Christof

“…The quenching and partitioning (Q&P) process of lean medium Mn steels is a novel approach for producing ultra-high strength and good formable steels. First,…”
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On the Damage Behavior of a 0.1C6Mn Medium‐Mn Steel by Steineder, Katharina, Krizan, Daniel, Schneider, Reinhold, Béal, Coline, Sommitsch, Christof

“…The present work concentrates on the investigation of the damage behavior in the case of a batch annealed 0.1C6Mn medium‐Mn steel as a function of…”
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Effect of Si and Al on Retained Austenite Stabilization during Q&P and Galvannealing Process by Wallner, Matthias, Steineder, Katharina, Schneider, Reinhold, Sommitsch, Christof

“…The present contribution concentrates on the different effects of Si and Al on the carbide precipitation and austenite decomposition during the Q&P-process and…”
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Effect of Manganese on the Structure-Properties Relationship of Cold Rolled AHSS Treated by a Quenching and Partitioning Process by Kaar, Simone, Krizan, Daniel, Schneider, Reinhold, Béal, Coline, Sommitsch, Christof

“…The present work focuses on the investigation of both microstructure and resulting mechanical properties of different lean medium Mn Quenching and Partitioning…”
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Comparative Investigation of Phase Transformation Behavior as a Function of Annealing Temperature and Cooling Rate of Two Medium-Mn Steels by Steineder, Katharina, Schneider, Reinhold, Krizan, Daniel, Béal, Coline, Sommitsch, Christof

“…Transformation‐induced plasticity (TRIP)‐assisted medium‐Mn steels with a ferritic matrix containing considerable amounts of retained austenite are a promising…”
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Effect of Electrical Parameters on Type and Content of Non-Metallic Inclusions after Electro-Slag-Remelting by Paar, Armin, Schneider, Reinhold, Zeller, Peter, Reiter, Gerhard, Paul, Stefan, Würzinger, Paul

“…This paper describes the effect of different electrical parameters on the type and content of non‐metallic‐inclusions in the ESR material X38CrMoV5‐1. For…”
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Adaptive methods for boundary integral equations: Complexity and convergence estimates by Dahmen, Wolfgang, Harbrecht, Helmut, Schneider, Reinhold

“…This paper is concerned with developing numerical techniques for the adaptive application of global operators of potential type in wavelet coordinates. This is…”
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